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802.1203
X. Hernandez
L. Carigi and X. Hernandez
Chemical consequences of low star formation rates: stochastically sampling the IMF
13 pages, 13 figures, Accepted for publication in MNRAS
(2009) MNRAS, 390, 582
10.1111/j.1365-2966.2008.13743.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
When estimating the abundances which result from a given star formation event, it is customary to treat the IMF as a series of weight factors to be applied to the stellar yields, as a function of mass, implicitly assuming one is dealing with an infinite population. However, when the stellar population is small, the standard procedure would imply the inclusion of fractional numbers of stars at certain masses. We study the effects of small number statistics on the resulting abundances by performing an statistical sampling of the IMF to form a stellar population out of discrete numbers of stars. A chemical evolution code then follows the evolution of the population, and traces the resulting abundances. The process is repeated to obtain an statistical distribution of the resulting abundances and their evolution. We explore the manner in which different elements are affected, and how different abundances converge to the infinite population limit as the total mass increases. We include a discussion of our results in the context of dwarf spheroidal galaxies and show the recently reported internal dispersions in abundance ratios for dSph galaxies might be partly explained through the stochastic effects introduced by a low star formation rate, which can account for dispersions of over 2 dex in [C/O], [N/O], [C/Fe], [N/Fe] and [O/Fe].
[ { "version": "v1", "created": "Fri, 8 Feb 2008 19:33:40 GMT" }, { "version": "v2", "created": "Mon, 28 Jul 2008 16:00:42 GMT" } ]
2010-01-25T00:00:00
[ [ "Carigi", "L.", "" ], [ "Hernandez", "X.", "" ] ]
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802.1204
Raghvendra Sahai
Raghvendra Sahai, Mark Claussen, Carmen S\'anchez Contreras, Mark Morris, and Geetanjali Sarkar
High-Velocity Interstellar Bullets in IRAS05506+2414: A Very Young Protostar
33 pages, 11 figures Accepted by The Astrophysical Journal (Feb 7, 2008)
null
10.1086/587638
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We have made a serendipitous discovery of an enigmatic outflow source, IRAS 05506+2414 (hereafter IRAS 05506), as part of a multi-wavelength survey of pre-planetary nebulae (PPNs). The HST optical and near-infrared images show a bright compact central source with a jet-like extension, and a fan-like spray of high-velocity (with radial velocities upto 350 kms/s) elongated knots which appear to emanate from it. These structures are possibly analogous to the near-IR "bullets" seen in the Orion nebula. Interferometric observations at 2.6 mm show the presence of a high-velocity CO outflow and a continuum source also with a faint extension, both of which are aligned with the optical jet structure. IRAS 05506 is most likely not a PPN. We find extended NH3 (1,1) emission towards IRAS 05506; these data together with the combined presence of far-IR emission, H2O and OH masers, and CO and CS J=2-1 emission, strongly argue for a dense, dusty star-forming core associated with IRAS 05506. IRAS 05506 is probably an intermediate-mass or massive protostar, and the very short time-scale (200 yr) of its outflows indicates that it is very young. If IRAS 05506 is a massive star, then the lack of radio continuum and the late G -- early K spectral type we find from our optical spectra implies that in this object we are witnessing the earliest stages of its life, while its temperature is still too low to provide sufficient UV flux for ionisation.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 19:33:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Sahai", "Raghvendra", "" ], [ "Claussen", "Mark", "" ], [ "Contreras", "Carmen Sánchez", "" ], [ "Morris", "Mark", "" ], [ "Sarkar", "Geetanjali", "" ] ]
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802.1205
Bakir Farhi
Bruno Deschamps and Bakir Farhi
Essentialit\'e dans les bases additives
24 pages (in french)
J. Number Theory, 123 (2007), p. 170-192
null
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article we study the notion of essential subset of an additive basis, that is to say the minimal finite subsets $P$ of a basis $A$ such that $A \setminus P$ doesn't remains a basis. The existence of an essential subset for a basis is equivalent for this basis to be included, for almost all elements, in an arithmetic non-trivial progression. We show that for every basis $A$ there exists an arithmetic progression with a biggest common difference containing $A$. Having this common difference $a$ we are able to give an upper bound to the number of essential subsets of $A$: this is the radical's length of $a$ (in particular there is always many finite essential subsets in a basis). In the case of essential subsets of cardinality 1 (essential elements) we introduce a way to "dessentialize" a basis. As an application, we definitively improve the earlier result of Deschamps and Grekos giving an upper bound of the number of the essential elements of a basis. More precisely, we show that for all basis $A$ of order $h$, the number $s$ of essential elements of $A$ satisfy $s\leq c\sqrt{\frac{h}{\log h}}$ where $c=30\sqrt{\frac{\log 1564}{1564}}\simeq 2,05728$, and we show that this inequality is best possible.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 20:13:48 GMT" } ]
2008-02-11T00:00:00
[ [ "Deschamps", "Bruno", "" ], [ "Farhi", "Bakir", "" ] ]
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802.1206
Vahid Sandoghdar
P. Kukura, M. Celebrano, A. Renn, V. Sandoghdar
Extinction imaging of a single quantum emitter in its bright and dark states
null
null
null
null
cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Room temperature detection of single quantum emitters has had a broad impact in fields ranging from biophysics to material science, photophysics, or even quantum optics. These experiments have exclusively relied on the efficient detection of fluorescence. An attractive alternative would be to employ direct absorption, or more correctly expressed "extinction" measurements. Indeed, small nanoparticles have been successfully detected using this scheme in reflection and transmission. Coherent extinction detection of single emitters has also been reported at cryogenic temperatures, but their room temperature implementation has remained a great laboratory challenge owing to the expected weak signal-to-noise ratio. Here we report the first extinction study of a single quantum emitter at ambient condition. We obtain a direct measure for the extinction cross section of a single semiconductor nanocrystal both during and in the absence of fluorescence, for example in the photobleached state or during blinking off-times. Our measurements pave the way for the detection and absorption spectroscopy of single molecules or clusters of atoms even in the quenched state.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 20:19:19 GMT" } ]
2008-02-11T00:00:00
[ [ "Kukura", "P.", "" ], [ "Celebrano", "M.", "" ], [ "Renn", "A.", "" ], [ "Sandoghdar", "V.", "" ] ]
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802.1207
Andrew J. Landahl
Bradley A. Chase and Andrew J. Landahl
Universal quantum walks and adiabatic algorithms by 1D Hamiltonians
14 pages
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a family of time-independent nearest-neighbor Hamiltonians coupling eight-state systems on a 1D ring that enables universal quantum computation. Hamiltonians in this family can achieve universality either by driving a continuous-time quantum walk or by terminating an adiabatic algorithm. In either case, the universality property can be understood as arising from an efficient simulation of a programmable quantum circuit. Using gadget perturbation theory, one can demonstrate the same kind of universality for related Hamiltonian families acting on qubits in 2D. Our results demonstrate that simulating 1D chains of spin-7/2 particles is BQP-hard, and indeed BQP-complete because the outputs of decision problems can be encoded in the outputs of such simulations.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 20:19:57 GMT" } ]
2008-02-11T00:00:00
[ [ "Chase", "Bradley A.", "" ], [ "Landahl", "Andrew J.", "" ] ]
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802.1208
Nicholas Setzer
R. N. Mohapatra, N. Setzer, S. Spinner
Seesaw Extended MSSM and Anomaly Mediation without Tachyonic Sleptons
40 pages, 10 figures, 5 tables; v3: Added addendum and three new references; v4: Added reference that was inadvertently omitted
JHEP0804:091,2008
10.1088/1126-6708/2008/04/091
UMD-PP-08-001
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Superconformal anomalies provide an elegant and economical way to understand the soft breaking parameters in SUSY models; however, implementing them leads to the several undesirable features including: tachyonic sleptons and electroweak symmetry breaking problems in both the MSSM and the NMSSM. Since these two theories also have the additonal problem of massless neutrinos, we have reconsidered the AMSB problems in a class of models that extends the NMSSM to explain small neutrino masses via the seesaw mechanism. In a recent paper, we showed that for a class of minimal left-right extensions, a built-in mechanism exists which naturally solves the tachyonic slepton problem and provides new alternatives to the MSSM that also have automatic R-parity conservation. In this paper, we discuss how electroweak symmetry breaking arises in this model through an NMSSM-like low energy theory with a singlet VEV, induced by the structure of the left-right extension and of the right magnitude. We then study the phenomenological issues and find: the LSP is an Higgsino-wino mix, new phenomenology for chargino decays to the LSP, degenerate same generation sleptons and a potential for a mild squark-slepton degeneracy. We also discuss possible collider signatures and the feasibility of dark matter in this model.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 20:48:49 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 00:30:02 GMT" }, { "version": "v3", "created": "Mon, 17 Nov 2008 05:14:18 GMT" }, { "version": "v4", "created": "Wed, 10 Dec 2008 02:10:40 GMT" } ]
2008-12-18T00:00:00
[ [ "Mohapatra", "R. N.", "" ], [ "Setzer", "N.", "" ], [ "Spinner", "S.", "" ] ]
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802.1209
Hanqing Zheng
Hanqing Zheng
Low Lying Scalar Resonances and Chiral Symmetry
Invited plenary talk given at CHIRAL 2007, Nov. 13-16, 2007, RCNP, Osaka, Japan
Mod.Phys.Lett.A23:2218-2225,2008
10.1142/S021773230802906X
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Current theoretical studies on the $\sigma$ and $\kappa$ resonances are reviewed. It is emphasized that all evidences accumulated so far are consistent with the picture that the $\sigma$ meson is the chiral partner of the Nambu--Goldstone bosons in a linear realization of chiral symmetry.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 20:52:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Zheng", "Hanqing", "" ] ]
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802.121
Christopher Morgan
Christopher W. Morgan (1 and 2), Christopher S. Kochanek (2 and 3), Xinyu Dai (2 and 3), Nicholas D. Morgan (2) and Emilio E. Falco (4) ((1) Department of Physics, U.S. Naval Academy, (2) Department of Astronomy, The Ohio State University, (3) Center for Cosmology and AstroParticle Physics, The Ohio State University, (4) Harvard-Smithsonian Center for Astrophysics)
X-Ray and Optical Microlensing in the Lensed Quasar PG 1115+080
21 pages, 5 figures, submitted to ApJ; corrected errors with the measurement of the A1/A2 flux ratio
null
10.1086/592767
null
astro-ph
null
We analyzed the microlensing of the X-ray and optical emission of the lensed quasar PG 1115+080. We find that the effective radius of the X-ray emission is 1.3(+1.1 -0.5) dex smaller than that of the optical emission. Viewed as a thin disk observed at inclination angle i, the optical accretion disk has a scale length, defined by the point where the disk temperature matches the rest frame energy of the monitoring band (kT=hc/lambda_rest with lambda_rest=0.3 micron), of log[(r_{s,opt}/cm)(cos(i) / 0.5)^{1/2}] = 16.6 \pm 0.4. The X-ray emission region (1.4-21.8 keV in the rest frame) has an effective half-light radius of log[r_{1/2,X}/cm] = 15.6 (+0.6-0.9}. Given an estimated black hole mass of 1.2 * 10^9 M_sun, corresponding to a gravitational radius of log[r_g/cm] = 14.3, the X-ray emission is generated near the inner edge of the disk while the optical emission comes from scales slightly larger than those expected for an Eddington-limited thin disk. We find a weak trend supporting models with low stellar mass fractions near the lensed images, in mild contradiction to inferences from the stellar velocity dispersion and the time delays.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:00:20 GMT" }, { "version": "v2", "created": "Thu, 14 Feb 2008 20:13:13 GMT" }, { "version": "v3", "created": "Wed, 30 Apr 2008 15:29:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Morgan", "Christopher W.", "", "1 and 2" ], [ "Kochanek", "Christopher S.", "", "2 and 3" ], [ "Dai", "Xinyu", "", "2 and 3" ], [ "Morgan", "Nicholas D.", "" ], [ "Falco", "Emilio E.", "" ] ]
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802.1211
Jens Eisert
R. H\"ubener, C. Kruszynska, L. Hartmann, and W. D\"ur, F. Verstraete, J. Eisert, M.B. Plenio
Renormalization algorithm with graph enhancement
4 pages, 1 figure
Phys. Rev. A 79, 022317 (2009)
10.1103/PhysRevA.79.022317
null
quant-ph cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a class of variational states to describe quantum many-body systems. This class generalizes matrix product states which underly the density-matrix renormalization group approach by combining them with weighted graph states. States within this class may (i) possess arbitrarily long-ranged two-point correlations, (ii) exhibit an arbitrary degree of block entanglement entropy up to a volume law, (iii) may be taken translationally invariant, while at the same time (iv) local properties and two-point correlations can be computed efficiently. This new variational class of states can be thought of as being prepared from matrix product states, followed by commuting unitaries on arbitrary constituents, hence truly generalizing both matrix product and weighted graph states. We use this class of states to formulate a renormalization algorithm with graph enhancement (RAGE) and present numerical examples demonstrating that improvements over density-matrix renormalization group simulations can be achieved in the simulation of ground states and quantum algorithms. Further generalizations, e.g., to higher spatial dimensions, are outlined.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:02:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Hübener", "R.", "" ], [ "Kruszynska", "C.", "" ], [ "Hartmann", "L.", "" ], [ "Dür", "W.", "" ], [ "Verstraete", "F.", "" ], [ "Eisert", "J.", "" ], [ "Plenio", "M. B.", "" ] ]
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802.1212
Vladimir Cvetkovic
V. Cvetkovic, Z. Tesanovic
Rough edges in quantum transport of Dirac particles
5 pages, 2 figures, presentation unified and streamlined using 4-component spinors, additional references
null
null
null
cond-mat.str-el cond-mat.mes-hall
null
We consider Dirac particles confined to a thin strip, e.g., graphene nanoribbon, with rough edges. The confinement is implemented by a large mass in the Hamiltonian or by imposing boundary conditions directly on the graphene wave-functions. The scattering of a rough edge leads to a transverse channel-mixing and provides crucial limitation to the quantum transport in narrow ribbons. We solve the problem perturbatively and find the edge scattering contribution to the conductivity, which can be measured experimentally. The case of Schroedinger particles in a strip is also addressed, and the comparison between Schroedinger and Dirac transport is made. Anomalies associated with quasi-one dimensionality, such as Van Hove singularities and localization, are discussed. The violation of the Matthiessen rule is pointed out.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 18:10:46 GMT" }, { "version": "v2", "created": "Wed, 27 Feb 2008 20:11:46 GMT" } ]
2008-02-27T00:00:00
[ [ "Cvetkovic", "V.", "" ], [ "Tesanovic", "Z.", "" ] ]
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802.1213
Fredrik Fatemi
Spencer E. Olson, Matthew L. Terraciano, Mark Bashkansky, Fredrik K. Fatemi
Cold atom confinement in an all-optical dark ring trap
5 pages, 4 figures
Phys. Rev. A 76, 061404(R) (2007)
10.1103/PhysRevA.76.061404
null
quant-ph
http://creativecommons.org/licenses/publicdomain/
We demonstrate confinement of $^{85}$Rb atoms in a dark, toroidal optical trap. We use a spatial light modulator to convert a single blue-detuned Gaussian laser beam to a superposition of Laguerre-Gaussian modes that forms a ring-shaped intensity null bounded harmonically in all directions. We measure a 1/e spin-relaxation lifetime of ~1.5 seconds for a trap detuning of 4.0 nm. For smaller detunings, a time-dependent relaxation rate is observed. We use these relaxation rate measurements and imaging diagnostics to optimize trap alignment in a programmable manner with the modulator. The results are compared with numerical simulations.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:03:14 GMT" } ]
2008-02-12T00:00:00
[ [ "Olson", "Spencer E.", "" ], [ "Terraciano", "Matthew L.", "" ], [ "Bashkansky", "Mark", "" ], [ "Fatemi", "Fredrik K.", "" ] ]
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802.1214
S. L. Bridle
Sarah Bridle, John Shawe-Taylor, Adam Amara, Douglas Applegate, Sreekumar T. Balan, Joel Berge, Gary Bernstein, Hakon Dahle, Thomas Erben, Mandeep Gill, Alan Heavens, Catherine Heymans, F. William High, Henk Hoekstra, Mike Jarvis, Donnacha Kirk, Thomas Kitching, Jean-Paul Kneib, Konrad Kuijken, David Lagatutta, Rachel Mandelbaum, Richard Massey, Yannick Mellier, Baback Moghaddam, Yassir Moudden, Reiko Nakajima, Stephane Paulin-Henriksson, Sandrine Pires, Anais Rassat, Alexandre Refregier, Jason Rhodes, Tim Schrabback, Elisabetta Semboloni, Marina Shmakova, Ludovic van Waerbeke, Dugan Witherick, Lisa Voigt, David Wittman
Handbook for the GREAT08 Challenge: An image analysis competition for cosmological lensing
Published in at http://dx.doi.org/10.1214/08-AOAS222 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Statistics 2009, Vol. 3, No. 1, 6-37
10.1214/08-AOAS222
IMS-AOAS-AOAS222
astro-ph stat.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The GRavitational lEnsing Accuracy Testing 2008 (GREAT08) Challenge focuses on a problem that is of crucial importance for future observations in cosmology. The shapes of distant galaxies can be used to determine the properties of dark energy and the nature of gravity, because light from those galaxies is bent by gravity from the intervening dark matter. The observed galaxy images appear distorted, although only slightly, and their shapes must be precisely disentangled from the effects of pixelisation, convolution and noise. The worldwide gravitational lensing community has made significant progress in techniques to measure these distortions via the Shear TEsting Program (STEP). Via STEP, we have run challenges within our own community, and come to recognise that this particular image analysis problem is ideally matched to experts in statistical inference, inverse problems and computational learning. Thus, in order to continue the progress seen in recent years, we are seeking an infusion of new ideas from these communities. This document details the GREAT08 Challenge for potential participants. Please visit http://www.great08challenge.info for the latest information.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 20:57:56 GMT" }, { "version": "v2", "created": "Thu, 7 Aug 2008 22:22:17 GMT" }, { "version": "v3", "created": "Mon, 15 Jun 2009 13:04:42 GMT" } ]
2009-06-15T00:00:00
[ [ "Bridle", "Sarah", "" ], [ "Shawe-Taylor", "John", "" ], [ "Amara", "Adam", "" ], [ "Applegate", "Douglas", "" ], [ "Balan", "Sreekumar T.", "" ], [ "Berge", "Joel", "" ], [ "Bernstein", "Gary", "" ], [ "Dahle", "Hakon", "" ], [ "Erben", "Thomas", "" ], [ "Gill", "Mandeep", "" ], [ "Heavens", "Alan", "" ], [ "Heymans", "Catherine", "" ], [ "High", "F. William", "" ], [ "Hoekstra", "Henk", "" ], [ "Jarvis", "Mike", "" ], [ "Kirk", "Donnacha", "" ], [ "Kitching", "Thomas", "" ], [ "Kneib", "Jean-Paul", "" ], [ "Kuijken", "Konrad", "" ], [ "Lagatutta", "David", "" ], [ "Mandelbaum", "Rachel", "" ], [ "Massey", "Richard", "" ], [ "Mellier", "Yannick", "" ], [ "Moghaddam", "Baback", "" ], [ "Moudden", "Yassir", "" ], [ "Nakajima", "Reiko", "" ], [ "Paulin-Henriksson", "Stephane", "" ], [ "Pires", "Sandrine", "" ], [ "Rassat", "Anais", "" ], [ "Refregier", "Alexandre", "" ], [ "Rhodes", "Jason", "" ], [ "Schrabback", "Tim", "" ], [ "Semboloni", "Elisabetta", "" ], [ "Shmakova", "Marina", "" ], [ "van Waerbeke", "Ludovic", "" ], [ "Witherick", "Dugan", "" ], [ "Voigt", "Lisa", "" ], [ "Wittman", "David", "" ] ]
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802.1215
Carlo R. Contaldi
Carlo R. Contaldi, Toby Wiseman, Benjamin Withers
TeVeS gets caught on caustics
23 pages,12 figures, matches published version
Phys.Rev.D78:044034,2008
10.1103/PhysRevD.78.044034
null
gr-qc astro-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
TeVeS uses a dynamical vector field with timelike unit norm constraint to specify a preferred local frame. When matter moves slowly in this frame - the so-called quasi-static regime - Modified Newtonian Dynamics (MoND) results. Theories with such vectors (such as Einstein-aether) are prone to the vector dynamics forming singularities which render their classical evolution problematic. Here we analyse the dynamics of the vector in TeVeS in various situations. We find that, quite generically, the vector field develops caustic singularities on time scales of order the gravitational in-fall time. Having shown singularity formation is generic with or without matter, Bekenstein's original formulation of TeVeS appears dynamically problematic. We argue that by modifying the vector field kinetic terms to the more general form used by Einstein-Aether this problem may be avoided.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 18:25:51 GMT" }, { "version": "v2", "created": "Fri, 7 Mar 2008 18:38:27 GMT" }, { "version": "v3", "created": "Mon, 27 Oct 2008 17:06:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Contaldi", "Carlo R.", "" ], [ "Wiseman", "Toby", "" ], [ "Withers", "Benjamin", "" ] ]
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802.1216
Sudip Chakravarty
Sudip Chakravarty
High temperature superconductivity: from complexity to simplicity
An edited shorter version is published in Science
Science, 319, 735 (2008)
10.1126/science.1154320
null
cond-mat.supr-con
http://creativecommons.org/licenses/by/3.0/
I discuss the recent quantum oscillation experiments in the underdoped high temperature superconductors.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:16:01 GMT" } ]
2008-02-12T00:00:00
[ [ "Chakravarty", "Sudip", "" ] ]
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802.1217
Luis Dieulefait
Nicolas Billerey, Luis Dieulefait
Solving Fermat-type equations x^5+y^5=dz^p
major revision: mistakes corrected, several new cases covered
null
null
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we are interested in solving the Fermat-type equations x^5+y^5=dz^p where d is a positive integer and p a prime number $\ge 7$. We describe a new method based on modularity theorems which allows us to improve all the results in a previous paper of the first author. We finally discuss the present limitations of the method by looking at the case d=3.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:18:41 GMT" }, { "version": "v2", "created": "Wed, 11 Jun 2008 17:40:02 GMT" } ]
2008-06-11T00:00:00
[ [ "Billerey", "Nicolas", "" ], [ "Dieulefait", "Luis", "" ] ]
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802.1218
Santo Fortunato Dr
Andrea Lancichinetti, Santo Fortunato, Janos Kertesz
Detecting the overlapping and hierarchical community structure of complex networks
20 pages, 8 figures. Final version published on New Journal of Physics
New Journal of Physics 11, 033015 (2009)
10.1088/1367-2630/11/3/033015
null
physics.soc-ph cond-mat.stat-mech physics.comp-ph stat.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Many networks in nature, society and technology are characterized by a mesoscopic level of organization, with groups of nodes forming tightly connected units, called communities or modules, that are only weakly linked to each other. Uncovering this community structure is one of the most important problems in the field of complex networks. Networks often show a hierarchical organization, with communities embedded within other communities; moreover, nodes can be shared between different communities. Here we present the first algorithm that finds both overlapping communities and the hierarchical structure. The method is based on the local optimization of a fitness function. Community structure is revealed by peaks in the fitness histogram. The resolution can be tuned by a parameter enabling to investigate different hierarchical levels of organization. Tests on real and artificial networks give excellent results.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:30:51 GMT" }, { "version": "v2", "created": "Wed, 11 Mar 2009 09:53:44 GMT" } ]
2009-03-11T00:00:00
[ [ "Lancichinetti", "Andrea", "" ], [ "Fortunato", "Santo", "" ], [ "Kertesz", "Janos", "" ] ]
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802.1219
Licia Verde
Licia Verde (ICE-Barcelona/Princeton), Hiranya V. Peiris (Cambridge/U. Chicago)
On Minimally-Parametric Primordial Power Spectrum Reconstruction and the Evidence for a Red Tilt
18 pages, 8 figures, JCAP. Minor changes to match published version
JCAP 0807:009,2008
10.1088/1475-7516/2008/07/009
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The latest cosmological data seem to indicate a significant deviation from scale invariance of the primordial power spectrum when parameterized either by a power law or by a spectral index with non-zero "running". This deviation, by itself, serves as a powerful tool to discriminate among theories for the origin of cosmological structures such as inflationary models. Here, we use a minimally-parametric smoothing spline technique to reconstruct the shape of the primordial power spectrum. This technique is well-suited to search for smooth features in the primordial power spectrum such as deviations from scale invariance or a running spectral index, although it would recover sharp features of high statistical significance. We use the WMAP 3 year results in combination with data from a suite of higher resolution CMB experiments (including the latest ACBAR 2008 release), as well as large-scale structure data from SDSS and 2dFGRS. We employ cross-validation to assess, using the data themselves, the optimal amount of smoothness in the primordial power spectrum consistent with the data. This minimally-parametric reconstruction supports the evidence for a power law primordial power spectrum with a red tilt, but not for deviations from a power law power spectrum. Smooth variations in the primordial power spectrum are not significantly degenerate with the other cosmological parameters.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 12:20:27 GMT" }, { "version": "v2", "created": "Sun, 27 Jul 2008 16:30:24 GMT" } ]
2011-05-12T00:00:00
[ [ "Verde", "Licia", "", "ICE-Barcelona/Princeton" ], [ "Peiris", "Hiranya V.", "", "Cambridge/U.\n Chicago" ] ]
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802.122
Cheng Qi
Qi Cheng and Daqing Wan
Complexity of Decoding Positive-Rate Reed-Solomon Codes
null
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The complexity of maximal likelihood decoding of the Reed-Solomon codes $[q-1, k]_q$ is a well known open problem. The only known result in this direction states that it is at least as hard as the discrete logarithm in some cases where the information rate unfortunately goes to zero. In this paper, we remove the rate restriction and prove that the same complexity result holds for any positive information rate. In particular, this resolves an open problem left in [4], and rules out the possibility of a polynomial time algorithm for maximal likelihood decoding problem of Reed-Solomon codes of any rate under a well known cryptographical hardness assumption. As a side result, we give an explicit construction of Hamming balls of radius bounded away from the minimum distance, which contain exponentially many codewords for Reed-Solomon code of any positive rate less than one. The previous constructions only apply to Reed-Solomon codes of diminishing rates. We also give an explicit construction of Hamming balls of relative radius less than 1 which contain subexponentially many codewords for Reed-Solomon code of rate approaching one.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:45:21 GMT" } ]
2008-02-12T00:00:00
[ [ "Cheng", "Qi", "" ], [ "Wan", "Daqing", "" ] ]
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802.1221
Sergei Alexandrov
Sergei Alexandrov
Immirzi parameter and fermions with non-minimal coupling
4 pages
Class.Quant.Grav.25:145012,2008
10.1088/0264-9381/25/14/145012
PTA/08-003
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We clarify the role played by the Immirzi parameter in classical gravity coupled to fermions. Considering the general non-minimal coupling, we show that, although the torsion depends explicitly on the Immirzi parameter, in a suitable parametrization the effective action obtained by integrating out the spin-connection is independent of it. Thus the Immirzi parameter is not detectable in classical theory even after coupling of fermions.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 21:47:49 GMT" }, { "version": "v2", "created": "Mon, 16 Jun 2008 13:43:22 GMT" } ]
2008-11-26T00:00:00
[ [ "Alexandrov", "Sergei", "" ] ]
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802.1222
Henni Ouerdane
Henni Ouerdane and Michael J. Jamieson
S-wave and p-wave scattering in a cold gas of Na and Rb atoms
The article contains additional material and data (see abstract)
Eur. Phys. J. D 53, 27-32 (2009)
10.1140/epjd/e2009-00042-8
null
physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using improved experimentally based $X{}^1\Sigma^+$ and $a{}^3\Sigma^+$ molecular potentials of NaRb, we apply the variable phase method to compute new data for low energy scattering of $^{23}$Na atoms by $^{85}$Rb atoms and $^{87}$Rb atoms. These are the scattering lengths and volumes, numbers of bound states and effective ranges, which we use to obtain the low energy spin-change cross section as functions of the system temperature and the isotope masses. From an analysis of the contributions of s-wave and p-wave scatterings to the elastic cross section we estimate temperatures below which only s-wave scattering is dominant. We compare our quantal results to data obtained from the semiclassical approximation. We supply evidence for the existence of a near zero energy p-wave bound state supported by the singlet molecular potential.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 18:36:41 GMT" }, { "version": "v2", "created": "Thu, 15 Jan 2009 22:21:13 GMT" } ]
2009-05-11T00:00:00
[ [ "Ouerdane", "Henni", "" ], [ "Jamieson", "Michael J.", "" ] ]
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802.1223
Michael E. Wall
David W. Dreisigmeyer, Jelena Stajic, Ilya Nemenman, William S. Hlavacek, Michael E. Wall
Determinants of bistability in induction of the Escherichia coli lac operon
19 pages, 10 figures, First q-bio Conference on Cellular Information Processing
null
null
LA-UR-08-0753
q-bio.CB q-bio.MN
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We have developed a mathematical model of regulation of expression of the Escherichia coli lac operon, and have investigated bistability in its steady-state induction behavior in the absence of external glucose. Numerical analysis of equations describing regulation by artificial inducers revealed two natural bistability parameters that can be used to control the range of inducer concentrations over which the model exhibits bistability. By tuning these bistability parameters, we found a family of biophysically reasonable systems that are consistent with an experimentally determined bistable region for induction by thio-methylgalactoside (Ozbudak et al. Nature 427:737, 2004). The model predicts that bistability can be abolished when passive transport or permease export becomes sufficiently large; the former case is especially relevant to induction by isopropyl-beta, D-thiogalactopyranoside. To model regulation by lactose, we developed similar equations in which allolactose, a metabolic intermediate in lactose metabolism and a natural inducer of lac, is the inducer. For biophysically reasonable parameter values, these equations yield no bistability in response to induction by lactose; however, systems with an unphysically small permease-dependent export effect can exhibit small amounts of bistability for limited ranges of parameter values. These results cast doubt on the relevance of bistability in the lac operon within the natural context of E. coli, and help shed light on the controversy among existing theoretical studies that address this issue. The results also suggest an experimental approach to address the relevance of bistability in the lac operon within the natural context of E. coli.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 22:21:49 GMT" } ]
2008-02-12T00:00:00
[ [ "Dreisigmeyer", "David W.", "" ], [ "Stajic", "Jelena", "" ], [ "Nemenman", "Ilya", "" ], [ "Hlavacek", "William S.", "" ], [ "Wall", "Michael E.", "" ] ]
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802.1224
Sougato Bose
Sougato Bose
Quantum Communication through Spin Chain Dynamics: an Introductory Overview
Material covered till Dec 2006
Contemporary Physics, Volume 48, Issue 1 January 2007, pages 13 - 30
10.1080/00107510701342313
null
cond-mat.other cond-mat.stat-mech cond-mat.str-el quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present an introductory overview of the use of spin chains as quantum wires, which has recently developed into a topic of lively interest. The principal motivation is in connecting quantum registers without resorting to optics. A spin chain is a permanently coupled 1D system of spins. When one places a quantum state on one end of it, the state will be dynamically transmitted to the other end with some efficiency if the spins are coupled by an exchange interaction. No external modulations or measurements on the body of the chain, except perhaps at the very ends, is required for this purpose. For the simplest (uniformly coupled) chain and the simplest encoding (single qubit encoding), however, dispersion reduces the quality of transfer. We present a variety of alternatives proposed by various groups to achieve perfect quantum state transfer through spin chains. We conclude with a brief discussion of the various directions in which the topic is developing.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:05:29 GMT" } ]
2008-02-12T00:00:00
[ [ "Bose", "Sougato", "" ] ]
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802.1225
Anne Ersbak Bang Nielsen
Anne E. B. Nielsen and Klaus Molmer
Stochastic master equation for a probed system in a cavity
10 pages, 5 figures
Phys. Rev. A 77, 052111 (2008).
10.1103/PhysRevA.77.052111
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a detailed derivation of the stochastic master equation determining the time evolution of the state of a general quantum system, which is placed inside a cavity and subjected to indirect measurements by monitoring the state of electromagnetic radiation transmitted through the cavity. The derivation is based on the physics involved and the final result is stated in terms of the physical parameters of the setup. To illustrate the predictions contained in the equation, we solve it analytically for a specific system, and we demonstrate quantum jumps and freezing of the internal coherent dynamics of the system as a result of continued measurements.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:10:37 GMT" }, { "version": "v2", "created": "Fri, 11 Apr 2008 15:22:22 GMT" } ]
2008-05-15T00:00:00
[ [ "Nielsen", "Anne E. B.", "" ], [ "Molmer", "Klaus", "" ] ]
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802.1226
Qiqi Yan
Qiqi Yan
Lower Bounds for Complementation of omega-Automata Via the Full Automata Technique
null
Logical Methods in Computer Science, Volume 4, Issue 1 (March 19, 2008) lmcs:992
10.2168/LMCS-4(1:5)2008
null
cs.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we first introduce a lower bound technique for the state complexity of transformations of automata. Namely we suggest first considering the class of full automata in lower bound analysis, and later reducing the size of the large alphabet via alphabet substitutions. Then we apply such technique to the complementation of nondeterministic \omega-automata, and obtain several lower bound results. Particularly, we prove an \omega((0.76n)^n) lower bound for B\"uchi complementation, which also holds for almost every complementation or determinization transformation of nondeterministic omega-automata, and prove an optimal (\omega(nk))^n lower bound for the complementation of generalized B\"uchi automata, which holds for Streett automata as well.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:13:52 GMT" }, { "version": "v2", "created": "Wed, 19 Mar 2008 15:05:48 GMT" }, { "version": "v3", "created": "Wed, 22 Oct 2008 21:01:52 GMT" } ]
2015-07-01T00:00:00
[ [ "Yan", "Qiqi", "" ] ]
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802.1227
Maria Vallarino
Stefano Meda, Maria Vallarino
Weak type estimates for spherical multipliers on noncompact symmetric spaces
null
null
null
null
math.CA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we prove sharp weak type 1 estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker and A.D. Ionescu.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 15:28:43 GMT" } ]
2008-02-12T00:00:00
[ [ "Meda", "Stefano", "" ], [ "Vallarino", "Maria", "" ] ]
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802.1228
Gaku Kawashima
Gaku Kawashima
A generalization of the duality for multiple harmonic sums
12 pages; minor corrections; to appear in Journal of Number Theory
null
null
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The duality is a fundamental property of the finite multiple harmonic sums (MHS). In this paper, we prove a duality result for certain generalizations of MHS which appear naturally as the differences of MHS. We also prove a formula for the differences of these generalized MHS.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 14:59:55 GMT" }, { "version": "v2", "created": "Mon, 16 Feb 2009 12:20:56 GMT" }, { "version": "v3", "created": "Tue, 12 May 2009 08:03:23 GMT" } ]
2009-05-12T00:00:00
[ [ "Kawashima", "Gaku", "" ] ]
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802.1229
Riccardo Adami
Riccardo Adami, Laszlo Erdos
Rate of decoherence for an electron weakly coupled to a phonon gas
27 pages, 2 figures
null
10.1007/s10955-008-9561-8
null
math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the dynamics of an electron weakly coupled to a phonon gas. The initial state of the electron is the superposition of two spatially localized distant bumps moving towards each other, and the phonons are in a thermal state. We investigate the dynamics of the system in the kinetic regime and show that the time evolution makes the non-diagonal terms of the density matrix of the electron decay, destroying the interference between the two bumps. We show that such a damping effect is exponential in time, and the related decay rate is proportional to the total scattering cross section of the electron-phonon interaction.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:42:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Adami", "Riccardo", "" ], [ "Erdos", "Laszlo", "" ] ]
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802.123
Magdalena Djordjevic
Magdalena Djordjevic and Ulrich W. Heinz
Radiative energy loss in a finite dynamical QCD medium
4 pages, 3 figures
Phys.Rev.Lett.101:022302,2008
10.1103/PhysRevLett.101.022302
CERN-PH-TH/2008-018
nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The radiative energy loss of a quark jet traversing a finite size QCD medium with dynamical constituents is calculated to first order in opacity. Although finite size corrections reduce the energy loss relative to an infinite dynamical QCD medium, under realistic conditions it remains significantly larger than in a static medium. Quantitative predictions of jet suppression in relativistic heavy ion collisions must therefore account for the dynamics of the medium's constituents. Finite size effects are shown to induce a non-linear path length dependence of the energy loss. Our results suggest a simple general mapping between energy loss expressions for static and dynamical QCD media.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:42:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Djordjevic", "Magdalena", "" ], [ "Heinz", "Ulrich W.", "" ] ]
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802.1231
Anh Vinh Le
Si Li, Le Anh Vinh
On the spectrum of unitary finite-Euclidean graphs
null
null
null
null
math.CO math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider unitary graphs attached to Z_d^n using an analogue of the Euclidean distance. These graphs are shown to be integral when n is odd or the dimension d is even.
[ { "version": "v1", "created": "Fri, 8 Feb 2008 23:59:55 GMT" }, { "version": "v2", "created": "Thu, 17 Jul 2008 04:14:52 GMT" } ]
2008-07-17T00:00:00
[ [ "Li", "Si", "" ], [ "Vinh", "Le Anh", "" ] ]
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802.1232
Mithat Unsal
Mikhail Shifman, Mithat Unsal
QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
49 pages, 2 figures
Phys.Rev.D78:065004,2008
10.1103/PhysRevD.78.065004
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider QCD-like theories with one massless fermion in various representations of the gauge group SU$(N)$. The theories are formulated on $R_3\times S_1$. In the decompactification limit of large $r(S_1)$ all these theories are characterized by confinement, mass gap and spontaneous breaking of a (discrete) chiral symmetry ($\chi$SB). At small $r(S_1)$, in order to stabilize the vacua of these theories at a center-symmetric point, we suggest to perform a double trace deformation. With these deformation, the theories at hand are at weak coupling at small $r(S_1)$ and yet exhibit basic features of the large-$r(S_1)$ limit: confinement and $\chi$SB. We calculate the string tension, mass gap, bifermion condensates and $\theta$ dependence. The double-trace deformation becomes dynamically irrelevant at large $r(S_1)$. Despite the fact that at small $r(S_1)$ confinement is Abelian, while it is expected to be non-Abelian at large $r(S_1)$, we argue that small and large-$r(S_1)$ physics are continuously connected. If so, one can use small-$r(S_1)$ laboratory to extract lessons about QCD and QCD-like theories on $R_4$.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 00:06:43 GMT" } ]
2010-05-27T00:00:00
[ [ "Shifman", "Mikhail", "" ], [ "Unsal", "Mithat", "" ] ]
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802.1233
Jiawang Nie
Jiawang Nie and Kristian Ranestad
Algebraic Degree of Polynomial Optimization
13 pages
null
null
null
math.OC math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Consider the polynomial optimization problem whose objective and constraints are all described by multivariate polynomials. Under some genericity assumptions, %% on these polynomials, we prove that the optimality conditions always hold on optimizers, and the coordinates of optimizers are algebraic functions of the coefficients of the input polynomials. We also give a general formula for the algebraic degree of the optimal coordinates. The derivation of the algebraic degree is equivalent to counting the number of all complex critical points. As special cases, we obtain the algebraic degrees of quadratically constrained quadratic programming (QCQP), second order cone programming (SOCP) and $p$-th order cone programming (pOCP), in analogy to the algebraic degree of semidefinite programming.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 00:11:30 GMT" } ]
2008-02-12T00:00:00
[ [ "Nie", "Jiawang", "" ], [ "Ranestad", "Kristian", "" ] ]
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802.1234
Edward G. Effros
Edward G. Effros
A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
8 pages
null
10.1073/pnas.0807965106
null
math-ph math.MP
null
Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given using matrix perspectives of operator convex functions. A matrix analogue of Mar\'{e}chal's extended perspectives provides additional inequalities, including a $p+q\leq 1$ result of Lieb.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 23:56:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Effros", "Edward G.", "" ] ]
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802.1235
Alin Panaitescu
A. Panaitescu
Direct and bulk-scattered forward-shock emissions: sources of X-ray afterglow diversity
6 pages, submitted to the proceedings of 2007 GRB meeting, Santa Fe, NM, Nov 5-9 2007
AIP Conf.Proc.1000:433-438,2008
10.1063/1.2943502
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I describe the modifications to the standard forward-shock model required to account for the X-ray light-curve features discovered by Swift in the early afterglow emission and propose that a delayed, pair-enriched, and highly relativistic outflow, which bulk-scatters the forward-shock synchrotron emission, yields sometimes a brighter X-ray emission, producing short-lived X-ray flares, X-ray light-curve plateaus ending with chromatic breaks, and fast post-plateau X-ray decays.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 00:36:48 GMT" } ]
2009-06-23T00:00:00
[ [ "Panaitescu", "A.", "" ] ]
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802.1236
David C. Johnston
X. Zong, S. Das, F. Borsa, M. D. Vannette, R. Prozorov, J. Schmalian, D. C. Johnston
^{7}Li NMR Study of Heavy Fermion LiV2O4 Containing Magnetic Defects
18 pages typeset in 2 columns, 16 figures; submitted to PRB
Phys. Rev. B 77, 144419 (2008); 17 pages
10.1103/PhysRevB.77.144419
null
cond-mat.str-el cond-mat.mtrl-sci
null
We present a systematic study of the variations of the ^{7}Li NMR properties versus magnetic defect concentration up to 0.83 mol% within the spinel structure of polycrystalline powder samples and a collection of small single crystals of LiV2O4 in the temperature range from 0.5 to 4.2 K. We also report static magnetization measurements and ac magnetic susceptibility measurements at 14 MHz on the samples at low temperatures. Both the NMR spectrum and nuclear spin-lattice relaxation rate are inhomogeneous in the presence of the magnetic defects. The NMR data for the powders are well explained by assuming that (i) there is a random distribution of magnetic point defects, (ii) the same heavy Fermi liquid is present in the samples containing the magnetic defects as in magnetically pure LiV2O4, and (iii) the influences of the magnetic defects and of the Fermi liquid on the magnetization and NMR properties are separable. In the single crystals, somewhat different behaviors are observed. Remarkably, the magnetic defects in the powder samples show evidence of spin freezing below T ~ 1.0 K, whereas in the single crystals with similar magnetic defect concentration no spin freezing was found down to 0.5 K. Thus different types of magnetic defects and/or interactions between them appear to arise in the powders versus the crystals, possibly due to the substantially different synthesis conditions of the powders and crystals.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:35:00 GMT" } ]
2010-11-12T00:00:00
[ [ "Zong", "X.", "" ], [ "Das", "S.", "" ], [ "Borsa", "F.", "" ], [ "Vannette", "M. D.", "" ], [ "Prozorov", "R.", "" ], [ "Schmalian", "J.", "" ], [ "Johnston", "D. C.", "" ] ]
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802.1237
Gwena\"el Joret
Jean Cardinal, Samuel Fiorini, and Gwena\"el Joret
Minimum Entropy Orientations
Referees' comments incorporated
Operations Research Letters 36 (2008), pp. 680-683
10.1016/j.orl.2008.06.010
null
cs.DS cs.DM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study graph orientations that minimize the entropy of the in-degree sequence. The problem of finding such an orientation is an interesting special case of the minimum entropy set cover problem previously studied by Halperin and Karp [Theoret. Comput. Sci., 2005] and by the current authors [Algorithmica, to appear]. We prove that the minimum entropy orientation problem is NP-hard even if the graph is planar, and that there exists a simple linear-time algorithm that returns an approximate solution with an additive error guarantee of 1 bit. This improves on the only previously known algorithm which has an additive error guarantee of log_2 e bits (approx. 1.4427 bits).
[ { "version": "v1", "created": "Sat, 9 Feb 2008 01:38:06 GMT" }, { "version": "v2", "created": "Mon, 22 Sep 2008 14:43:52 GMT" } ]
2008-10-28T00:00:00
[ [ "Cardinal", "Jean", "" ], [ "Fiorini", "Samuel", "" ], [ "Joret", "Gwenaël", "" ] ]
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802.1238
Jiliang Jing
Qiyuan Pan and Jiliang Jing
Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames
9 pages, 4 figures
Phys.Rev.A77:024302,2008
10.1103/PhysRevA.77.024302
null
quant-ph
http://creativecommons.org/licenses/by/3.0/
The entanglement between two modes of the free scalar and Dirac fields as seen by two relatively accelerated observers has been investigated. It is found that the same initial entanglement for an initial state parameter $\alpha$ and its "normalized partner" $\sqrt{1-\alpha^{2}}$ will be degraded by the Unruh effect along two different trajectories except for the maximally entangled state, which just shows the inequivalence of the quantization for a free field in the Minkowski and Rindler coordinates. In the infinite acceleration limit the state doesn't have the distillable entanglement for any $\alpha$ for the scalar field but always remains entangled to a degree which is dependent of $\alpha$ for the Dirac field. It is also interesting to note that in this limit the mutual information equals to just half of the initially mutual information, which is independent of $\alpha$ and the type of field.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 02:06:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Pan", "Qiyuan", "" ], [ "Jing", "Jiliang", "" ] ]
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802.1239
Louis Levenson
L.R. Levenson, E.L. Wright (UCLA)
Probing the 3.6 Micron CIRB with Spitzer in 3 DIRBE Dark Spots
40 pages LaTeX, 19 figures, 5 tables, This is the verson accepted by the ApJ. Minor changes include replotting Figure 1, 3 and 4 on the same axes as Fig. 13 and more detailed description of the sample galaxies used for completeness estimation. References added
Astrophys.J.683:585-596,2008
10.1086/589808
null
astro-ph
null
We observed three regions of the sky with Spitzer in which the Cosmic InfraRed Background (CIRB) has been determined at 3.5 microns using the method of subtracting 2MASS stellar fluxes from zodiacal light subtracted DIRBE maps. For each of these regions we have obtained 270 seconds of integration time per pixel with IRAC on Spitzer over the central square degree. We present galaxy counts in each of these approximately 1 square degree IRAC surveys. Along with deep galaxy counts in the Extended Groth Strip and GOODS North, we are able to compare the galactic contribution to the CIRB with the "DIRBE minus 2MASS'' determined L-band CIRB. Using the profile-fit photometry package GIM2D, we find a substantially larger flux contribution to the CIRB than that determined using aperture photometry. We have also made the first rigorous analysis of the uncertainties in determining the CIRB via galaxy counts in Spitzer images using a Monte Carlo Markov Chain simulation of our data analysis. Using a simple broken power law model for galaxy counts as a function of magnitude we find a most probable contribution to the CIRB from galaxies at 3.6 microns of 10.8^{+2.1}_{-1.1} kJy/sr. Even with this restricted model, however, we find that galaxy counting does not strongly constrain the CIRB from above. We are able to find solutions in which the CIRB runs away to large intensities without the need for an additional diffuse source.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 02:52:24 GMT" }, { "version": "v2", "created": "Sat, 10 May 2008 00:03:42 GMT" } ]
2009-06-23T00:00:00
[ [ "Levenson", "L. R.", "", "UCLA" ], [ "Wright", "E. L.", "", "UCLA" ] ]
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802.124
Shi-Ge Peng
Laurent Denis, Mingshang Hu and Shige Peng
Function spaces and capacity related to a Sublinear Expectation: application to G-Brownian Motion Pathes
26 pages
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we give some basic and important properties of several typical Banach spaces of functions of $G$-Brownian motion pathes induced by a sublinear expectation--G-expectation. Many results can be also applied to more general situations. A generalized version of Kolmogorov's criterion for continuous modification of a stochastic process is also obtained. The results can be applied to continuous time dynamic and coherent risk measures in finance in particular for path-dependence risky positions under situations of volatility model uncertainty.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 02:29:09 GMT" }, { "version": "v2", "created": "Fri, 15 Jan 2010 02:08:42 GMT" } ]
2010-01-15T00:00:00
[ [ "Denis", "Laurent", "" ], [ "Hu", "Mingshang", "" ], [ "Peng", "Shige", "" ] ]
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802.1241
Francesco Sorrentino Dr.
Francesco Sorrentino, Edward Ott
Adaptive synchronization of dynamics on evolving complex networks
Accepted for publication on Physical Review Letters
null
10.1103/PhysRevLett.100.114101
null
cond-mat.dis-nn
null
We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time only one aggregate signal from the set of its neighbors. We introduce an appropriately defined potential that each node seeks to minimize in order to reach/maintain synchronization. We show that our strategy is effective in tracking synchronization as well as in achieving synchronization when appropriate conditions are met.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 00:26:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Sorrentino", "Francesco", "" ], [ "Ott", "Edward", "" ] ]
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802.1242
Harsha Sanjeev Kumar
Harsha Sanjeev Kumar, Samar Safi-Harb
Variability of the High-Magnetic Field X-ray Pulsar PSR J1846-0258 Associated with the Supernova Remnant Kes 75 as Revealed by the Chandra X-ray Observatory
Accepted by the Astrophysical Journal (Letters)
null
null
null
astro-ph
null
We present results from the archival Chandra observations of the 0.3 s X-ray pulsar PSR J1846-0258 associated with the supernova remnant (SNR) Kes 75. The pulsar has the highest spin-down luminosity (Edot = 8.3e36 erg/s) among all the high magnetic field pulsars (HBPs) and has been classified as a Crab-like pulsar despite its magnetic field (5e13 G) being above the quantum critical field. It is the only HBP described by a non-thermal Crab-like spectrum, powering a bright pulsar wind nebula (PWN). Our spectroscopic study shows evidence of spectral softening (photon index = 1.32 to 1.97) and temporal brightening (unabsorbed flux = 4.3e-12 to 2.7e-11 erg/cm^2/s) of the pulsar by ~6 times from 2000 to 2006. The 0.5-10 keV luminosity of the pulsar at the revised distance of 6 kpc has also increased from 1.85e34 to 1.16e35 erg/s, and the X-ray efficiency increased from 0.2% to 1.4%. The observed X-ray brightening and softening of the pulsar suggests for the first time that this HBP is revealing itself as a magnetar.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 21:21:55 GMT" }, { "version": "v2", "created": "Wed, 20 Feb 2008 16:26:09 GMT" }, { "version": "v3", "created": "Mon, 17 Mar 2008 19:14:20 GMT" } ]
2008-03-17T00:00:00
[ [ "Kumar", "Harsha Sanjeev", "" ], [ "Safi-Harb", "Samar", "" ] ]
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802.1243
Sayipjamal Dulat
Sayipjamal Dulat and Kang Li
The Aharonov-Casher effect for spin-1 particles in non-commutative quantum mechanics
5 pages, RevTex
Eur.Phys.J.C54:333-337,2008
10.1140/epjc/s10052-008-0522-9
null
math-ph hep-th math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both on a non-commutative space and a non-commutative phase space, we obtain the corrections to the topological phase of the AC effect for a spin-1 neutral particle both on a NC space and a NC phase space.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 04:22:29 GMT" } ]
2008-11-26T00:00:00
[ [ "Dulat", "Sayipjamal", "" ], [ "Li", "Kang", "" ] ]
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802.1244
Shuheng Zhou
Shuheng Zhou
Learning Balanced Mixtures of Discrete Distributions with Small Sample
24 Pages, 5 figures
null
null
null
cs.LG stat.ML
null
We study the problem of partitioning a small sample of $n$ individuals from a mixture of $k$ product distributions over a Boolean cube $\{0, 1\}^K$ according to their distributions. Each distribution is described by a vector of allele frequencies in $\R^K$. Given two distributions, we use $\gamma$ to denote the average $\ell_2^2$ distance in frequencies across $K$ dimensions, which measures the statistical divergence between them. We study the case assuming that bits are independently distributed across $K$ dimensions. This work demonstrates that, for a balanced input instance for $k = 2$, a certain graph-based optimization function returns the correct partition with high probability, where a weighted graph $G$ is formed over $n$ individuals, whose pairwise hamming distances between their corresponding bit vectors define the edge weights, so long as $K = \Omega(\ln n/\gamma)$ and $Kn = \tilde\Omega(\ln n/\gamma^2)$. The function computes a maximum-weight balanced cut of $G$, where the weight of a cut is the sum of the weights across all edges in the cut. This result demonstrates a nice property in the high-dimensional feature space: one can trade off the number of features that are required with the size of the sample to accomplish certain tasks like clustering.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 07:38:49 GMT" } ]
2008-02-21T00:00:00
[ [ "Zhou", "Shuheng", "" ] ]
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802.1245
Masaki Kashiwara
Masaki Kashiwara and Pierre Schapira
Deformation quantization modules I:Finiteness and duality
The contents of this paper is now included in Deformation quantization modules (arXiv:1003.3304).
null
null
null
math.QA math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce the notion of being cohomologically complete for objects of the derived category of sheaves of $Z[\hbar]$-modules on a topological space. Then we consider a $Z[\hbar]$-algebra satisfying some suitable conditions and prove coherency results by using the property of being cohomologically complete. We apply these results to the study of modules over deformation quantization algebroids on complex Poisson manifolds. We prove in particular that under a natural properness condition, the convolution of two coherent kernels over such algebroids is coherent. We also construct the dualizing complexes in this framework and show that the convolution of kernels commutes with duality.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 05:36:41 GMT" }, { "version": "v2", "created": "Sun, 15 Jun 2008 03:00:19 GMT" }, { "version": "v3", "created": "Mon, 6 Jul 2009 13:53:29 GMT" }, { "version": "v4", "created": "Fri, 19 Mar 2010 07:01:09 GMT" } ]
2010-03-22T00:00:00
[ [ "Kashiwara", "Masaki", "" ], [ "Schapira", "Pierre", "" ] ]
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802.1246
Austen Lamacraft
Austen Lamacraft and Paul Fendley
Order parameter statistics in the critical quantum Ising chain
null
Phys. Rev. Lett. 100, 165706 (2008)
10.1103/PhysRevLett.100.165706
null
cond-mat.stat-mech
null
In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of the critical quantum Ising spin chain. This is achieved through a remarkable relation to the partition function of the anisotropic Kondo problem, which can be computed by exploiting the integrability of the system.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 12:57:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Lamacraft", "Austen", "" ], [ "Fendley", "Paul", "" ] ]
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802.1247
Qiuping A. Wang
Y. Kaupp (ISMANS), S. Liraki (ISMANS), D. Tayurskii (ISMANS), A. Useinovb (ISMANS), A. El Kaabouchi (ISMANS), L. Nivanen (ISMANS), B. Minisini (ISMANS), F. Tsobnang (ISMANS), A. Le M\'ehaut\'e (ISMANS), Q. A. Wang (ISMANS)
Understanding heavy fermion from generalized statistics
null
Journal of Low Temperature Physics 150 (2008) 660-666
10.1007/s10909-007-9598-0
null
cond-mat.stat-mech
null
Heavy electrons in superconducting materials are widely studied with the Kondo lattice t-J model. Numerical results have shown that the Fermi surface of these correlated particles undergoes a flattening effect according to the coupling degree J. This behaviour is not easy to understand from the theoretical point of view within standard Fermi-Dirac statistics and non-standard theories such as fractional exclusion statistics for anyons and Tsallis nonextensive statistics. The present work is an attempt to account for the heavy electron distribution within incomplete statistics (IS) which is developed for complex systems with interactions which make the statistics incomplete such that sum_i p_i^q=1. The parameter q, when different from unity, characterizes the incompleteness of the statistics. It is shown that the correlated electrons can be described with the help of IS with q related to the coupling constant J in the context of Kondo model
[ { "version": "v1", "created": "Sat, 9 Feb 2008 06:23:53 GMT" } ]
2008-02-12T00:00:00
[ [ "Kaupp", "Y.", "", "ISMANS" ], [ "Liraki", "S.", "", "ISMANS" ], [ "Tayurskii", "D.", "", "ISMANS" ], [ "Useinovb", "A.", "", "ISMANS" ], [ "Kaabouchi", "A. El", "", "ISMANS" ], [ "Nivanen", "L.", "", "ISMANS" ], [ "Minisini", "B.", "", "ISMANS" ], [ "Tsobnang", "F.", "", "ISMANS" ], [ "Méhauté", "A. Le", "", "ISMANS" ], [ "Wang", "Q. A.", "", "ISMANS" ] ]
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802.1248
Qiuping A. Wang
A. Lawani (ISMANS), J. Le Meur (ISMANS), D. Tayurskii (ISMANS), A. El Kaabouchi (ISMANS), L. Nivanen (ISMANS), B. Minisini (ISMANS), F. Tsobnang (ISMANS), M. Pezeril (ISMANS), A. Le M\'ehaut\'e (ISMANS), Q. A. Wang (ISMANS)
A nonextensive approach to Bose-Einstein condensation of trapped interacting boson gas
null
Journal of Low Temperature Physics 150 (2008) 605-611
10.1007/s10909-007-9596-2
null
cond-mat.stat-mech
null
In the Bose-Einstein condensation of interacting atoms or molecules such as 87Rb, 23Na and 7Li, the theoretical understanding of the transition temperature is not always obvious due to the interactions or zero point energy which cannot be exactly taken into account. The S-wave collision model fails sometimes to account for the condensation temperatures. In this work, we look at the problem within the nonextensive statistics which is considered as a possible theory describing interacting systems. The generalized energy Uq and the particle number Nq of boson gas are given in terms of the nonextensive parameter q. q>1 (q<1) implies repulsive (attractive) interaction with respect to the perfect gas. The generalized condensation temperature Tcq is derived versus Tc given by the perfect gas theory. Thanks to the observed condensation temperatures, we find q ~ 0.1 for 87Rb atomic gas, q ~ 0.95 for 7Li and q ~ 0.62 for 23Na. It is concluded that the effective interactions are essentially attractive for the three considered atoms, which is consistent with the observed temperatures higher than those predicted by the conventional theory.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 06:26:06 GMT" } ]
2008-02-12T00:00:00
[ [ "Lawani", "A.", "", "ISMANS" ], [ "Meur", "J. Le", "", "ISMANS" ], [ "Tayurskii", "D.", "", "ISMANS" ], [ "Kaabouchi", "A. El", "", "ISMANS" ], [ "Nivanen", "L.", "", "ISMANS" ], [ "Minisini", "B.", "", "ISMANS" ], [ "Tsobnang", "F.", "", "ISMANS" ], [ "Pezeril", "M.", "", "ISMANS" ], [ "Méhauté", "A. Le", "", "ISMANS" ], [ "Wang", "Q. A.", "", "ISMANS" ] ]
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802.1249
Guillaume Faye
Luc Blanchet, Guillaume Faye, Bala R. Iyer, Siddhartha Sinha
The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
includes corrections to be published in an erratum; the changes are: in Eq (5.15b), -484/105 -> -188/35; in Eq (8.9g), 81127/10080 -> 1369/160; Eq (8.10g), -48239/5040 -> -2419/240; Eq (9.4b), -995/84 -> -353/28
Class.Quant.Grav.25:165003,2008
10.1088/0264-9381/25/16/165003
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide accurate templates for the data analysis of gravitational wave inspiral signals in laser interferometric detectors; (ii) To provide the associated spin-weighted spherical harmonic decomposition to facilitate comparison and match of the high post-Newtonian prediction for the inspiral waveform to the numerically-generated waveforms for the merger and ringdown. This extension of the GWF by half a PN order (with respect to previous work at 2.5PN order) is based on the algorithm of the multipolar post-Minkowskian formalism, and mandates the computation of the relations between the radiative, canonical and source multipole moments for general sources at 3PN order. We also obtain the 3PN extension of the source multipole moments in the case of compact binaries, and compute the contributions of hereditary terms (tails, tails-of-tails and memory integrals) up to 3PN order. The end results are given for both the complete plus and cross polarizations and the separate spin-weighted spherical harmonic modes.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 07:12:40 GMT" }, { "version": "v2", "created": "Tue, 5 Aug 2008 12:03:34 GMT" }, { "version": "v3", "created": "Fri, 19 Oct 2012 17:44:28 GMT" } ]
2012-10-22T00:00:00
[ [ "Blanchet", "Luc", "" ], [ "Faye", "Guillaume", "" ], [ "Iyer", "Bala R.", "" ], [ "Sinha", "Siddhartha", "" ] ]
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802.125
Adolfo Zamora
Juan M. Romero, Adolfo Zamora
The Area Quantum and Snyder Space
7 pages, in Press, Physics Letters B
Phys.Lett.B661:11-13,2008
10.1016/j.physletb.2008.02.001
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 07:59:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Romero", "Juan M.", "" ], [ "Zamora", "Adolfo", "" ] ]
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802.1251
Yuri A. Kordyukov
Andrey A. Yakovlev
Adiabatic limits on Riemannian Sol-manifolds
3 pages, to appear in Math. Notes
null
10.1070/SM2008v199n02ABEH003921
null
math.DG math.SP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We obtain an asymptotic formula for the spectrum distribution function of the Laplace operator on a compact Riemannian Sol-manifold in the adiabatic limit determined by a one-dimensional foliation defined by the orbits of a left-invariant flow.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 09:19:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Yakovlev", "Andrey A.", "" ] ]
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802.1252
Chris Stock
C. Stock, W.J.L. Buyers, Z. Yamani, Z. Tun, R. J. Birgeneau, R. Liang, D. Bonn, W. N. Hardy
Spin dynamics near the critical doping in weakly-superconducting underdoped YBa2Cu3O6.35 (Tc=18K)
22 pages, 19 figures, accepted for publication in Phys. Rev. B
null
10.1103/PhysRevB.77.104513
null
cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using neutron scattering we have determined the magnetic structure and fluctuations in the YBa2Cu3O6.35 superconductor (Tc=18 K). The long-range ordered collinear spins of the insulating antiferromagnet are replaced by a commensurate central mode arising from slow, isotropically polarized, short-range spin correlations. The inelastic spectrum up to 30 meV is broad in wave vector and commensurate. In contrast to the the resonance peak of higher Tc superconductors, the spins exhibit a single overdamped spectrum whose rate of relaxation decreases on cooling and saturates at 5 meV below 50 K. As the relaxation rate saturates the quasi-static spin correlations grow and become resolution limited in energy. The spin susceptibility at high temperatures illustrates that the dominant energy scale is set by the temperature. At low temperatures, the scale length is geometric and not linked by velocity to dynamic widths. There is no observable suppression of the spin fluctuations or central mode upon the onset of superconductivity. The spins respond not to coherent charge pairs but to hole doping allowing coexistence of glassy short range spin order with superconductivity. Since the physics of the weakly superconducting system YBCO6.35 must connect continuously with that in more strongly superconducting YBCO6.5, we find that neither incommensurate stripe-like spin modulations nor a well-defined neutron spin resonance are essential for the onset with doping of pairing in a high temperature cuprate superconductor.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 09:30:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Stock", "C.", "" ], [ "Buyers", "W. J. L.", "" ], [ "Yamani", "Z.", "" ], [ "Tun", "Z.", "" ], [ "Birgeneau", "R. J.", "" ], [ "Liang", "R.", "" ], [ "Bonn", "D.", "" ], [ "Hardy", "W. N.", "" ] ]
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802.1253
Anatoly G. Meshkov
Anatoly G. Meshkov and Maxim Ju. Balakhnev
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 4 (2008), 018, 29 pages
10.3842/SIGMA.2008.018
null
nlin.SI math-ph math.MP
http://creativecommons.org/licenses/by-nc-sa/3.0/
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with $4 \times 4$ matrices are presented.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 09:50:13 GMT" } ]
2008-04-25T00:00:00
[ [ "Meshkov", "Anatoly G.", "" ], [ "Balakhnev", "Maxim Ju.", "" ] ]
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802.1254
Jonathan Tennyson
Gabriela Halmova, J.D. Gorfinkiel and Jonathan Tennyson
Low and intermediate energy electron collisions with the C$_2^-$ molecular anion
18 pages, 5 figures constructed from 8 files
J. Phys. B: At. Mol. Opt. Phys., 41, 155201 (2008)
10.1088/0953-4075/41/15/155201
null
physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Calculations are presented which use the molecular R-matrix with pseudo-states (MRMPS) method to treat electron impact electron detachment and electronic excitation of the carbon dimer anion. Resonances are found above the ionisation threshold of C$_2^-$ with $^1\Sigma^+_g$, $^1\Pi_g$ and $^3\Pi_g$ symmetry. These are shape resonances trapped by the effect of an attractive polarisation potential competing with a repulsive Coulomb interaction. The $\Pi_g$ resonances are found to give structure in the detachment cross section similar to that observed experimentally. Both excitation and detachment cross sections are found to be dominated by large impact parameter collisions whose contribution is modelled using the Born approximation.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 10:03:10 GMT" } ]
2010-07-07T00:00:00
[ [ "Halmova", "Gabriela", "" ], [ "Gorfinkiel", "J. D.", "" ], [ "Tennyson", "Jonathan", "" ] ]
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802.1255
J\'er\'emy Blanc
J\'er\'emy Blanc
The correspondence between a plane curve and its complement
9 pages, 3 figures
J. Reine Angew. Math. 633 (2009), 1-10
10.1515/CRELLE.2009.057
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given two irreducible curves of the plane which have isomorphic complements, it is natural to ask whether there exists an automorphism of the plane that sends one curve on the other. This question has a positive answer for a large family of curves and H.Yoshihara conjectured that it is true in general. We exhibit counterexamples to this conjecture, over any ground field. In some of the cases, the curves are isomorphic and in others not; this provides counterexamples of two different kinds. Finally, we use our construction to find the existence of surprising non-linear automorphisms of affine surfaces.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 10:52:18 GMT" } ]
2010-11-22T00:00:00
[ [ "Blanc", "Jérémy", "" ] ]
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802.1256
Adam Skalski
Uwe Franz, Adam Skalski
On ergodic properties of convolution operators associated with compact quantum groups
10 pages, to appear in Colloquium Mathematicum. (v2 corrects the unwieldy text format)
Colloq. Math. 113, no. 1, 13-23, 2008
10.4064/cm113-1-2
null
math.OA math.FA
null
Recent results of M.Junge and Q.Xu on the ergodic properties of the averages of kernels in noncommutative L^p-spaces are applied to the analysis of the almost uniform convergence of operators induced by the convolutions on compact quantum groups.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 11:47:50 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 12:16:11 GMT" } ]
2021-04-21T00:00:00
[ [ "Franz", "Uwe", "" ], [ "Skalski", "Adam", "" ] ]
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802.1257
Martial Mazars Dr.
Carlos Alvarez, Martial Mazars and Jean-Jacques Weis
Structure and thermodynamics of a ferrofluid bilayer
45 pages, 4 Tables, 9 Figures
Physical Review E 77, 051501 (2008)
10.1103/PhysRevE.77.051501
Preprint LPT-Orsay : 08 - 21
cond-mat.mtrl-sci cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present extensive Monte Carlo simulations for the thermodynamic and structural properties of a planar bilayer of dipolar hard spheres for a wide range of densities, dipole moments and layer separations. Expressions for the stress and pressure tensors of the bilayer system are derived. For all thermodynamic states considered the interlayer energy is shown to be attractive and much smaller than the intralayer contribution to the energy. It vanishes at layer separations of the order of two hard sphere diameters. The normal pressure is negative and decays as a function of layer separation $h$ as $-1/h^5$. Intralayer and interlayer pair distribution functions and angular correlation functions are presented. Despite the weak interlayer energy strong positional and orientational correlations exist between particles in the two layers.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 11:46:58 GMT" } ]
2010-09-08T00:00:00
[ [ "Alvarez", "Carlos", "" ], [ "Mazars", "Martial", "" ], [ "Weis", "Jean-Jacques", "" ] ]
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802.1258
Heng Lian
Heng Lian
Bayesian Nonlinear Principal Component Analysis Using Random Fields
null
null
null
null
cs.CV cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a novel model for nonlinear dimension reduction motivated by the probabilistic formulation of principal component analysis. Nonlinearity is achieved by specifying different transformation matrices at different locations of the latent space and smoothing the transformation using a Markov random field type prior. The computation is made feasible by the recent advances in sampling from von Mises-Fisher distributions.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 12:22:47 GMT" } ]
2008-02-12T00:00:00
[ [ "Lian", "Heng", "" ] ]
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802.1259
Sabbah Claude
Claude Sabbah
Universal unfoldings of Laurent polynomials and tt* structures
28 pages, submitted to the proceedings of the conference 'From tQFT to tt* and integrability', Augsburg 2007. Revised version
in From Hodge theory to integrability and TQFT tt*-geometry, Proc. Sympos. Pure Math., vol. 78, Amer. Math. Soc., Providence, RI, 2008, p. 1-29
null
null
math.AG math.CV
null
This article surveys the relations between harmonic Higgs bundles and Saito structures which lead to tt* geometry on Frobenius manifolds. We give the main lines of the proof of the existence of a canonical tt* structure on the base space of the universal unfolding of convenient and nondegenerate Laurent polynomials.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 12:38:45 GMT" }, { "version": "v2", "created": "Thu, 14 Feb 2008 14:17:40 GMT" }, { "version": "v3", "created": "Fri, 25 Apr 2008 13:25:46 GMT" } ]
2011-01-04T00:00:00
[ [ "Sabbah", "Claude", "" ] ]
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802.126
Daniel Caro
Daniel Caro
A characterization of the overcoherence
10 pages
null
null
null
math.AG
null
Let $\mathcal{P}$ be a proper smooth formal $\mathcal{V}$-scheme, $X$ a closed subscheme of the special fiber of $\mathcal{P}$, $\mathcal{E} \in F\text{-}D ^\mathrm{b}_\mathrm{coh} (\D ^\dag_{\mathcal{P},\mathbb{Q}})$ with support in $X$. We check that $\mathcal{E}$ is $\D ^\dag _{\mathcal{P},\mathbb{Q}}$-overcoherent if and only if, for any morphism $f : \mathcal{P}' \to \mathcal{P}$ of smooth formal $\mathcal{V}$-schemes, $f ^! (\mathcal{E}) $ is $\D ^\dag_{\mathcal{P}', \mathbb{Q}}$-coherent.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 09:16:07 GMT" } ]
2008-02-12T00:00:00
[ [ "Caro", "Daniel", "" ] ]
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802.1261
Gennady El
G.A. El, A.M. Kamchatnov, M.V. Pavlov and S.A. Zykov
Kinetic equation for a soliton gas and its hydrodynamic reductions
39 pages, 1 figure. Extended version; to appear in Journal of Nonlinear Science
null
null
null
nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce and study a new class of kinetic equations, which arise in the description of nonequilibrium macroscopic dynamics of soliton gases with elastic collisions between solitons. These equations represent nonlinear integro-differential systems and have a novel structure, which we investigate by studying in detail the class of $N$-component `cold-gas' hydrodynamic reductions. We prove that these reductions represent integrable linearly degenerate hydrodynamic type systems for arbitrary $N$ which is a strong evidence in favour of integrability of the full kinetic equation. We derive compact explicit representations for the Riemann invariants and characteristic velocities of the hydrodynamic reductions in terms of the `cold-gas' component densities and construct a number of exact solutions having special properties (quasi-periodic, self-similar). Hydrodynamic symmetries are then derived and investigated. The obtained results shed the light on the structure of a continuum limit for a large class of integrable systems of hydrodynamic type and are also relevant to the description of turbulent motion in conservative compressible flows.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 14:02:46 GMT" }, { "version": "v2", "created": "Fri, 29 Jan 2010 20:46:25 GMT" }, { "version": "v3", "created": "Wed, 15 Sep 2010 20:31:09 GMT" } ]
2010-09-17T00:00:00
[ [ "El", "G. A.", "" ], [ "Kamchatnov", "A. M.", "" ], [ "Pavlov", "M. V.", "" ], [ "Zykov", "S. A.", "" ] ]
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802.1262
Tanguy Pierog
T. Pierog, R. Engel, D. Heck, S. Ostapchenko, K. Werner
Latest Results from the Air Shower Simulation Programs CORSIKA and CONEX
4 pages, 5 figures, FZKA-7340 pp 149-152. Prepared for 30th International Cosmic Ray Conference (ICRC 2007), Merida, Yucatan, Mexico, 3-11 Jul 2007
null
null
FZKA-7340
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Interpretation of EAS measurements strongly depends on detailed air shower simulations. The uncertainty in the prediction of shower observables for different primary particles and energies is currently dominated by differences between hadronic interaction models. The new models QGSJETII-3 and EPOS 1.6, which reproduce all major results of existing accelerator data (including detailed data of RHIC experiments for EPOS), have been implemented in the air shower simulation programs CORSIKA and CONEX. We show predictions of these new models and compare them with those from older models such as QGSJET01 or SIBYLL. Results for important air shower observables are discussed in detail.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 14:21:24 GMT" } ]
2008-02-12T00:00:00
[ [ "Pierog", "T.", "" ], [ "Engel", "R.", "" ], [ "Heck", "D.", "" ], [ "Ostapchenko", "S.", "" ], [ "Werner", "K.", "" ] ]
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802.1263
Ashis Mandal
Alice Fialowski and Ashis Mandal
Leibniz algebra deformations of a Lie algebra
15 pages
null
10.1063/1.2981562
null
math.KT math.QA
http://creativecommons.org/licenses/by/3.0/
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra $\mathfrak{n}_3$ and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of $\mathfrak{n}_3$ with the versal base.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 14:24:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Fialowski", "Alice", "" ], [ "Mandal", "Ashis", "" ] ]
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802.1264
Mubasher Jamil
Francesco De Paolis, Mubasher Jamil and Asghar Qadir
Black Holes in Bulk Viscous Cosmology
20 pages, 3 figures, accepted for publication in Int. J. Theor. Phys
Int.J.Theor.Phys.49:621-632,2010
10.1007/s10773-009-0242-4
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the effects of the accretion of phantom energy with non-zero bulk viscosity onto a Schwarzschild black hole and show that black holes accreting viscous phantom energy will lose mass rapidly compared to the non-viscous case. When matter is incorporated along with the phantom energy, the black holes meet with the same fate as bulk viscous forces dominate matter accretion. If the phantom energy has large bulk viscosity, then the mass of the black hole will reduce faster than in the small viscosity case.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 14:27:01 GMT" }, { "version": "v2", "created": "Sat, 10 May 2008 11:08:16 GMT" }, { "version": "v3", "created": "Sat, 13 Dec 2008 13:44:48 GMT" }, { "version": "v4", "created": "Tue, 22 Dec 2009 14:17:40 GMT" } ]
2010-03-02T00:00:00
[ [ "De Paolis", "Francesco", "" ], [ "Jamil", "Mubasher", "" ], [ "Qadir", "Asghar", "" ] ]
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802.1265
Reza Ejtehadi
B. Eslami-Mossallam and M.R. Ejtehadi
Stretching An Anisotropic DNA
29 pages and 4 figure. To appear in J. Chem. Phys
null
10.1063/1.2842065
null
cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech physics.bio-ph q-bio.BM
null
We present a perturbation theory to find the response of an anisotropic DNA to the external tension. It is shown that the anisotropy has a nonzero but small contribution to the force-extension curve of the DNA. Thus an anisotropic DNA behaves like an isotropic one with an effective bending constant equal to the harmonic average of its soft and hard bending constants.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:28:26 GMT" } ]
2016-09-08T00:00:00
[ [ "Eslami-Mossallam", "B.", "" ], [ "Ejtehadi", "M. R.", "" ] ]
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802.1266
Paul Voutier
P. M. Voutier
Rational approximations to $\sqrt[3]{2}$ and other algebraic numbers revisited
published version, but with some small changes, including typo in statement of Lemma 5.1(b), leading to simpler proof of Theorem 2.1
Journal de Th\'eorie des Nombres de Bordeaux 19 (2007), 265-288
10.5802/jtnb.586
null
math.NT math.CA
http://creativecommons.org/licenses/by-nc-sa/3.0/
In this paper, we establish improved effective irrationality measures for certain numbers of the form $\sqrt[3]{n}$, using approximations obtained from hypergeometric functions. These results are very close to the best possible using this method. We are able to obtain these results by determining very precise arithmetic information about the denominators of the coefficients of these hypergeometric functions. Improved bounds for $\theta(k,l;x)$ and $\psi(k,l;x)$ for $k=1,3,4,6$ are also presented.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 14:32:30 GMT" } ]
2012-02-01T00:00:00
[ [ "Voutier", "P. M.", "" ] ]
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802.1267
Stefan Westerhoff
Paul Sommers, Stefan Westerhoff
Cosmic Ray Astronomy
27 pages, 3 figures, review to appear in New Journal of Physics [Focus Issue]
New J.Phys.11:055004,2009
10.1088/1367-2630/11/5/055004
null
astro-ph
null
Cosmic ray astronomy attempts to identify and study the sources of ultrahigh energy cosmic rays. It is unique in its reliance on charged particles as the information carriers. While no discrete source of ultrahigh energy cosmic rays has been identified so far, a new generation of detectors is acquiring the huge exposure that is needed at the highest energies, where deflection by magnetic fields is minimized and the background from distant sources is eliminated by pion photoproduction. In this paper, we summarize the status of cosmic ray astronomy, describing the detectors and the analysis techniques.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:25:07 GMT" } ]
2010-01-15T00:00:00
[ [ "Sommers", "Paul", "" ], [ "Westerhoff", "Stefan", "" ] ]
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802.1268
Mircea Neagu
Mircea Neagu
Jet Berwald-Riemann-Lagrange Geometrization for Affine Maps between Finsler Manifolds
22 pages
BSG Proceedings 21 (2014), 108-127
null
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we introduce a natural definition for the affine maps between two Finsler manifolds $(M, F)$ and $(N,\tilde F)$ and we give some geometrical properties of these affine maps. Starting from the equations of the affine maps, we construct a natural Berwald-Riemann-Lagrange geometry on the 1-jet space $J^1(TM;N)$, in the sense of a Berwald nonlinear connection $\Gamma^b_jet$, a Berwald $\Gamma^b_jet$-linear d-connection $B\Gamma^b_jet$, together with its d-torsions and d-curvatures, which geometrically characterizes the initial affine maps between Finsler manifolds.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:38:29 GMT" } ]
2016-07-08T00:00:00
[ [ "Neagu", "Mircea", "" ] ]
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802.1269
Manuel Valverde
M. Valverde, J. Nieves, E. Hern\'andez, S.K. Singh, M.J. Vicente Vacas
Production of Two Pions Induced by Neutrinos
Contribution to the proceedings of Chiral07, RCNP, Osaka, Japan. Corrected version because of problems on some pdf viewers
Mod.Phys.Lett.A23:2309-2312,2008
10.1142/S0217732308029265
null
hep-ph
null
We study the threshold production of two pions induced by neutrinos in nucleon targets. The contribution of nucleon pole, pion and contact terms is calculated using a chiral Lagrangian. The contribution of the Roper resonance, neglected in earlier studies, has also been taken into account.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:59:46 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 18:54:12 GMT" } ]
2009-10-08T00:00:00
[ [ "Valverde", "M.", "" ], [ "Nieves", "J.", "" ], [ "Hernández", "E.", "" ], [ "Singh", "S. K.", "" ], [ "Vacas", "M. J. Vicente", "" ] ]
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802.127
Michela Mapelli
Kajal K. Ghosh (1) and Michela Mapelli (2) ((1)USRA/NSSTC/MSFC/NASA, (2)University of Zurich)
UGC 7069: The largest ring galaxy
6 pages, 5 figures, MNRAS Letters, in press
null
10.1111/j.1745-3933.2008.00456.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find that UGC 7069 is the largest ring galaxy known to date. In this Letter, we present a multiwavelength study of this galaxy (combining radio, 2MASS, optical and ultraviolet data). The ring of UGC 7069, whose diameter measures ~115 kpc, is also warped at its edges. The nucleus appears double-peaked and hosts a possible LINER. The ultraviolet data indicate a strong blue colour and suggest that UGC 7069 is a starburst galaxy. We also present N-body simulation results, which indicate that galaxy collisions can produce such huge rings. Large inclination angles between the target and the intruder galaxy may account for the formation of warped rings. Multiwavelength observations are highly essential to constrain our simulation results, which will address the formation and evolution of such a rare galaxy.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 15:59:46 GMT" }, { "version": "v2", "created": "Fri, 7 Mar 2008 09:45:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghosh", "Kajal K.", "" ], [ "Mapelli", "Michela", "" ] ]
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802.1271
Peter Kleinert
P. Kleinert
Superconductivity from four Fermion complexes
10 pages, 2 figures
null
null
null
cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Superconductivity is studied for a fermionic system with attractive four-body interaction. Applying a Green function approach, the gap equation is derived. From the solution, the transition temperature is calculated. Under the condition that the respective coupling constants are comparable, the transition temperature of four-fermion complexes is considerably larger than the corresponding BCS value.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 15:22:53 GMT" } ]
2008-02-12T00:00:00
[ [ "Kleinert", "P.", "" ] ]
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802.1272
Luciano da Fontoura Costa
Luciano da Fontoura Costa
Activation Confinement Inside Complex Networks Communities
18 pages, 15 figures. A working manuscrip. Suggestions and comments welcomed
null
null
null
physics.soc-ph cond-mat.dis-nn physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work it is described how to enhance and generalize the equivalent model (arXiv:0802.0421) of integrate-and-fire dynamics in order to treat any complex neuronal networks, especially those exibiting modular structure. It has been shown that, though involving only a handful of equivalent neurons, the modular equivalent model was capable of providing impressive predictions about the non-linear integrate-and-fire dynamics in two hybrid modular networks. The reported approach has also allowed the identification of the causes of transient spiking confinement within the network communities, which correspond to the fact that the little activation sent from the source community to the others implies in long times for reaching the nearly-simultaneous activation of the concentric levels at the other communities and respective avalanches. Several other insights are reported in this work, including the smoothing of the spiking functions, the consideration of intra-ring connections and its effects, as well as the identification of how the weights in the equivalent model change for different source nodes. This work has paved the way for a number of promising developments, which are identified and discussed. Preliminary results are also described which reveal waves induced by the integrate-and-fire dynamics along the steady-state regime.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 16:13:32 GMT" } ]
2008-02-12T00:00:00
[ [ "Costa", "Luciano da Fontoura", "" ] ]
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802.1273
Daniel Bramich
D.M. Bramich
A New Algorithm For Difference Image Analysis
MNRAS Letters Accepted
null
10.1111/j.1745-3933.2008.00464.x
null
astro-ph
null
In the context of difference image analysis (DIA), we present a new method for determining the convolution kernel matching a pair of images of the same field. Unlike the standard DIA technique which involves modelling the kernel as a linear combination of basis functions, we consider the kernel as a discrete pixel array and solve for the kernel pixel values directly using linear least-squares. The removal of basis functions from the kernel model is advantageous for a number of compelling reasons. Firstly, it removes the need for the user to specify such functions, which makes for a much simpler user application and avoids the risk of an inappropriate choice. Secondly, basis functions are constructed around the origin of the kernel coordinate system, which requires that the two images are perfectly aligned for an optimal result. The pixel kernel model is sufficiently flexible to correct for image misalignments, and in the case of a simple translation between images, image resampling becomes unnecessary. Our new algorithm can be extended to spatially varying kernels by solving for individual pixel kernels in a grid of image sub-regions and interpolating the solutions to obtain the kernel at any one pixel.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 15:33:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Bramich", "D. M.", "" ] ]
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802.1274
Jose M. Martin-Garcia
Jose M. Martin-Garcia, David Yllanes, Renato Portugal
The Invar tensor package: Differential invariants of Riemann
12 pages, 1 figure, 3 tables. Package can be downloaded from http://metric.iem.csic.es/Martin-Garcia/xAct/Invar/ (Mathematica version) or http://www.lncc.br/~portugal/Invar.html (Maple version)
Comp.Phys.Commun.179:586-590,2008
10.1016/j.cpc.2008.04.018
null
cs.SC gr-qc hep-th
null
The long standing problem of the relations among the scalar invariants of the Riemann tensor is computationally solved for all 6x10^23 objects with up to 12 derivatives of the metric. This covers cases ranging from products of up to 6 undifferentiated Riemann tensors to cases with up to 10 covariant derivatives of a single Riemann. We extend our computer algebra system Invar to produce within seconds a canonical form for any of those objects in terms of a basis. The process is as follows: (1) an invariant is converted in real time into a canonical form with respect to the permutation symmetries of the Riemann tensor; (2) Invar reads a database of more than 6x10^5 relations and applies those coming from the cyclic symmetry of the Riemann tensor; (3) then applies the relations coming from the Bianchi identity, (4) the relations coming from commutations of covariant derivatives, (5) the dimensionally-dependent identities for dimension 4, and finally (6) simplifies invariants that can be expressed as product of dual invariants. Invar runs on top of the tensor computer algebra systems xTensor (for Mathematica) and Canon (for Maple).
[ { "version": "v1", "created": "Mon, 11 Feb 2008 16:38:05 GMT" } ]
2008-11-26T00:00:00
[ [ "Martin-Garcia", "Jose M.", "" ], [ "Yllanes", "David", "" ], [ "Portugal", "Renato", "" ] ]
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802.1275
J.-L. Barrat
Anatolii Mokshin (LPMCN), J.-L. Barrat (LPMCN)
Shear induced crystallization of an amorphous system
null
null
10.1103/PhysRevE.77.021505
null
cond-mat.mtrl-sci
null
The influence of a stationary shear flow on the crystallization in a glassy system is studied by means of molecular dynamics simulations and subsequent cluster analysis. The results reveal two opposite effects of the shear flow on the processes of topological ordering in the system. Shear promotes the formation of separated crystallites and suppresses the appearance of the large clusters. The shear-induced ordering proceeds in two stages, where the first stage is related mainly with the growth of crystallites, whereas the second stage is due to an adjustment of the created clusters and a progressive alignment of their lattice directions. The influence of strain and shear rate on the crystallization is also investigated. In particular, we find two plausible phenomenological relations between the shear rate and the characteristic time scale needed for ordering of the amorphous system under shear.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 16:52:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Mokshin", "Anatolii", "", "LPMCN" ], [ "Barrat", "J. -L.", "", "LPMCN" ] ]
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802.1276
Galina L. Klimchitskaya
G.L. Klimchitskaya, E.V. Blagov and V.M. Mostepanenko
Van der Waals and Casimir interactions between atoms and carbon nanotubes
9 pages, 2 figures, Proceedings of QFEXT07, to appear in J. Phys. A
J. Phys. A: Math. Theor, v.41, N16, p.164012 -(1-8), 2008.
10.1088/1751-8113/41/16/164012
null
cond-mat.stat-mech cond-mat.other quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The van der Waals and Casimir interactions of a hydrogen atom (molecule) with a single-walled and a multiwalled carbon nanotubes are compared. It is shown that the macroscopic concept of graphite dielectric permittivity is already applicable for nanotubes with only two or three walls. The absorption of hydrogen atoms by a nanotube at separations below one nanometer is considered. The lateral force due to exchange repulsion moves the atom to a position above the cell center, where it is absorbed by the nanotube because the repulsive force cannot balance the van der Waals attraction.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 16:58:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Klimchitskaya", "G. L.", "" ], [ "Blagov", "E. V.", "" ], [ "Mostepanenko", "V. M.", "" ] ]
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802.1277
Erhan Iltan
E. Iltan
Lepton flavor violating Z boson decays induced by scalar unparticle
15 pages, 5 figures, 1 table
Eur.Phys.J.C56:113-118,2008
10.1140/epjc/s10052-008-0644-0
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We predict the branching ratios of the lepton flavor violating Z boson decays Z\to e^{\pm} \mu^{\pm}, Z\to e^{\pm} \tau^{\pm} and Z\to \mu^{\pm} \tau^{\pm} in the case that the lepton flavor violation is carried by the scalar unparticle mediation. We observe that their BRs are strongly sensitive to the unparticle scaling dimension and the branching ratios can reach to the values of the order of 10^{-8}, for the heavy lepton flavor case, for the small values of the scaling dimension.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 17:01:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Iltan", "E.", "" ] ]
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802.1278
Titarchuk Lev
Lev Titarchuk (GMU/NRL/GSFC) and Nikolai Shaposhnikov (GSFC/USRA)
On the nature of the variability power decay towards soft spectral states in X-ray binaries. Case study in Cyg X-1
15 page, 5 figures, accepted for publication in the Astrophysical Journal
null
10.1086/587124
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A characteristic feature of the Fourier Power Density Spectrum (PDS) observed from black hole X-ray binaries in low/hard and intermediate spectral states is a broad band-limited noise, characterized by a constant below some frequency (a ``break'' frequency) and a power law above this frequency. It has been shown that the variability of this type can be produced by the inward diffusion of the local driving perturbations in a bounded configuration (accretion disk or corona). In the framework of this model, the perturbation diffusion time t_0 is related to the phenomenological break frequency, while the PDS power-law slope above the ``break'' is determined by the viscosity distribution over the configuration. he perturbation diffusion scenario explains the decay of the power of X-ray variability observed in a number of compact sources (containing black hole and neutron star) during an evolution of theses sources from low/hard to high/soft states. We compare the model predictions with the subset of data from Cyg X-1 collected by the Rossi X-ray Time Explorer (RXTE). Our extensive analysis of the Cyg X-1 PDSs demonstrates that the observed integrated power P_x decreases approximately as a square root of the characteristic frequency of the driving oscillations \nu_{dr}. The RXTE observations of Cyg X-1 allow us to infer P_{dr} and t_0 as a function of \nu_{dr}. Using the inferred dependences of the integrated power of the driving oscillations P_{dr} and t_0 on \nu_{dr} we demonstrate that the power predicted by the model also decays as P_{x,diff} proportional to \nu_{dr}^{-0.5} that is similar to the observed P_{x} behavior.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 17:46:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Titarchuk", "Lev", "", "GMU/NRL/GSFC" ], [ "Shaposhnikov", "Nikolai", "", "GSFC/USRA" ] ]
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802.1279
Viviana Ene
Viviana Ene, Anda Olteanu, Loredana Sorrenti
Properties of lexsegment ideals
null
null
null
null
math.AC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that any lexsegment ideal with linear resolution has linear quotients with respect to a suitable ordering of its minimal monomial generators. For completely lexsegment ideals with linear resolution we show that the decomposition function is regular. For arbitrary lexsegment ideals we compute the depth and the dimension. As application we characterize the Cohen-Macaulay lexsegment ideals.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 17:52:28 GMT" } ]
2008-02-12T00:00:00
[ [ "Ene", "Viviana", "" ], [ "Olteanu", "Anda", "" ], [ "Sorrenti", "Loredana", "" ] ]
[ -0.0621595271, 0.1084381714, 0.0241379682, -0.0321514793, 0.0893421471, -0.0181582794, 0.0498591512, 0.002645799, -0.0612339564, 0.069174394, 0.0812555626, -0.0675181076, -0.1136019006, 0.0187306739, 0.0397265628, 0.0621108152, 0.065520823, -0.035610199, 0.0173301343, 0.1569576859, 0.0175858848, -0.0138835935, -0.0456697159, -0.0342705548, 0.0406521372, -0.0479349345, 0.0829605609, 0.0608442426, 0.0369985588, -0.0677129626, 0.0942135826, -0.0566548072, -0.0228592157, -0.0351717696, -0.1149659008, 0.0559728034, -0.0112651968, -0.0594802387, -0.0390932783, 0.0610878132, 0.0497130081, 0.0742894039, -0.1539373845, -0.0290581174, 0.1049307436, 0.0353422724, 0.0808658451, 0.0510526523, -0.0767251253, 0.0805735588, -0.0382164195, 0.0600648113, -0.0088477461, -0.0397509225, -0.1121404693, -0.0059796884, -0.1091201752, 0.0439647138, -0.0254532546, -0.0387035608, 0.0422353521, -0.0737535506, -0.0313964076, -0.0314938352, -0.0874909982, 0.0477887914, -0.0757021233, -0.0348551273, 0.0773096979, -0.0034069607, -0.0335885547, -0.014979667, 0.012251663, 0.0661541075, -0.0258429702, 0.0438185707, 0.0061745457, 0.0911445767, 0.0073010651, -0.0426250696, 0.0435506403, -0.0322732665, 0.0424302109, 0.0611365288, 0.0259891134, 0.0093105333, -0.0209958907, 0.0634748191, -0.0152963102, 0.0292529762, 0.0049688653, -0.0656182468, 0.0121725015, 0.0186697803, 0.0802812725, -0.0058061434, 0.0572880916, -0.050760366, -0.0404572785, 0.0696615428, -0.047520861, 0.050760366, 0.0129093062, -0.1100944653, 0.0890498608, 0.073412545, -0.0174275637, -0.0441595726, -0.0440377854, -0.0288389027, -0.0737048313, 0.0387522765, 0.0350256264, 0.0301054772, 0.1292879283, -0.0735099763, -0.1571525335, -0.01124084, -0.0242597535, 0.0359755568, -0.0029122056, -0.0432339981, -0.0897318572, 0.0805735588, -0.0455966443, -0.1651417017, 0.0463760756, -0.0606006682, 0.0196927823, -0.0930931494, 0.0377049185, 0.0012300377, 0.0643029585, -0.0322732665, -0.1740077138, 0.0095297471, 0.0333206244, -0.0608442426, 0.0412123539, -0.0524166562, 0.0083179781, 0.0292773321, 0.0135425935, 0.0290337615, 0.025039183, 0.0661053956, -0.1012284458, 0.0269633997, 0.0263301134, 0.0377536304, 0.0343679823, -0.0576778054, 0.0140784513, 0.000239766, 0.0184505656, -0.1376667917, 0.0166359562, -0.025867328, 0.0122090373, -0.0279376879, 0.0488848649, 0.1114584655, -0.0125074126, -0.0546088032, 0.01702567, 0.0420404971, 0.0026914687, 0.0378023461, -0.1295802146, -0.2143432051, -0.0420161374, -0.101325877, -0.1264624894, -0.1182784736, 0.0132990219, -0.0479105785, -0.0567522347, -0.0290581174, -0.0554856621, -0.0421379246, 0.0239918251, 0.0889037177, -0.0174032059, 0.0477157198, -0.0363652743, 0.0326142684, -0.0471067913, -0.0386304893, 0.0032273266, -0.0284979027, -0.1910577416, 0.0347576998, 0.0653259605, 0.1288982034, 0.1125301793, -0.0305682644, 0.0122942878, 0.1560808271, 0.0219579991, 0.0248199683, 0.030641336, 0.0894882903, 0.0552908033, -0.031347692, -0.0185967088, -0.0354396999, -0.0060527599, 0.032882195, -0.1074638888, 0.008177924, 0.0099255517, 0.0642542467, 0.0965518728, 0.0131163429, -0.0305439066, 0.0461325012, 0.0152475964, 0.0187428519, 0.0188402794, 0.073022835, -0.0149918459, -0.0513936542, 0.0385330617, 0.0381677039, 0.0765789822, 0.0406521372, -0.017707672, -0.0786249861, -0.0174640995, 0.0010793277, 0.0795018449, -0.017208349, -0.1192527637, 0.0283517595, -0.0445492864, 0.0141515229, -0.0219458211, -0.0780891255, -0.0193883162, -0.0346846282, 0.0230784304, 0.0248077903, -0.0920701474, 0.0787224099, 0.0838374197, -0.0354884155, -0.0511987954, 0.018219173, 0.0465465747, -0.0157469176, -0.0341487676, 0.0815478489, 0.0297401194, -0.029106833, -0.0685898215, 0.0558266602 ]
802.128
Kelly Patton
Kelly R. Patton
On the shot-noise limit of a thermal current
4 pages, 1 figure
null
10.1088/0953-8984/20/28/285213
null
cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The noise power spectral density of a thermal current between two macroscopic dielectric bodies held at different temperatures and connected only at a quantum point contact is calculated. Assuming the thermal energy is carried only by phonons, we model the quantum point contact as a mechanical link, having a harmonic spring potential. In the weak coupling, or weak-link limit, we find the thermal current analog of the well-known electronic shot-noise expression.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 17:58:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Patton", "Kelly R.", "" ] ]
[ 0.0190213434, -0.0110107381, -0.1110541448, -0.0421986096, -0.0333457552, 0.0041989582, -0.0340834931, 0.0302226637, -0.0188246127, -0.113513276, 0.0144104809, 0.1083982885, -0.1010209098, 0.1486296058, 0.0039653415, -0.0423707478, 0.0334195271, 0.0071683535, 0.0255503226, 0.0492317118, -0.0764296502, -0.0973322242, -0.0396165252, 0.0614781603, 0.0022608594, -0.0425182953, 0.0217140857, -0.0134022385, 0.0551336147, -0.0425920673, 0.0240994394, -0.0285996404, -0.0944304541, -0.1081031933, -0.0662980452, 0.0422477908, -0.0728885084, 0.0869055241, -0.0712654814, -0.0149146011, 0.0356081501, -0.0061662593, -0.1275794804, 0.1767619997, -0.0033198206, -0.1323010027, -0.0277389456, -0.0461578034, 0.0755443648, -0.0348704122, 0.0112935379, 0.0353376456, 0.0016891124, -0.0218001548, -0.0222427975, -0.0302718449, 0.039862439, 0.0573960096, -0.0373541303, -0.0941845402, 0.0142875239, -0.0734786987, -0.098266691, -0.0307636708, -0.0159720257, -0.02783731, -0.0002297746, 0.0159351397, 0.0443380475, 0.0799707919, 0.0559697151, 0.0713146627, -0.034649089, 0.1053489745, -0.0686096251, -0.0402559005, -0.0911844075, -0.0305177588, 0.0281078145, 0.0826266482, 0.1434162557, -0.004718449, -0.006049451, -0.0143244108, -0.1213824749, 0.0597075894, 0.020201724, -0.0976273194, -0.0448298752, 0.0435019471, -0.0913319513, 0.0889711902, 0.0279110838, -0.0073343446, 0.0569041856, 0.019168891, 0.0392968394, 0.0389279723, 0.0770198405, -0.0036518027, -0.0306407157, 0.0219968855, 0.0257470533, -0.0400837585, 0.1249236241, -0.0571009144, -0.0607896037, -0.0400099866, -0.0691014528, 0.1240383387, 0.1291533113, 0.0377229974, 0.0326817892, -0.0031399969, -0.083020106, -0.0800199732, -0.0131071433, -0.0749541745, 0.042051062, 0.0499940403, -0.1393832862, -0.0439691804, 0.0523302108, 0.0186647698, 0.0409198627, -0.0012172676, -0.0908893123, -0.0849382281, -0.1221693978, -0.0394689776, 0.1302353293, 0.0311079491, -0.0725934133, -0.0262142867, 0.0604453273, -0.0618224367, 0.0796756968, 0.0290422831, 0.0347966366, -0.0445839614, 0.0839545727, 0.0519859307, 0.0394689776, 0.0253290012, 0.1022996604, 0.1357437819, 0.0863645151, 0.0052010524, -0.015283471, 0.0230174232, -0.0776100308, -0.0328539275, 0.0747082606, 0.0454446562, 0.0857251436, -0.0176688228, 0.0474119559, 0.2158129364, -0.0868071616, -0.1095786691, 0.0637897402, 0.0127136838, 0.0325588323, -0.0332719795, 0.0124185886, 0.054641787, 0.0321161896, -0.0442150943, -0.071462214, -0.0754951835, -0.0950206444, -0.0086438293, 0.0337146223, -0.075052537, 0.0899056643, -0.0147670535, 0.0638389215, -0.0520842969, -0.0877416283, 0.0458872989, -0.0239641871, -0.0359524265, 0.015738409, -0.0195746459, 0.0667406917, -0.0256240964, -0.008053639, 0.1214808449, -0.0161810517, -0.069839187, -0.0247142203, 0.033124432, 0.0369114876, -0.0176319368, 0.0024775697, -0.0534122251, -0.0011127547, 0.0437478572, -0.0106357215, -0.047830008, 0.0568058193, 0.0257224627, 0.0224272329, 0.0644291118, 0.0098795407, -0.0000975966, 0.0885285512, 0.0266323388, -0.0814462677, 0.0813478976, 0.0365918018, -0.0016353191, 0.0553303435, 0.0436003096, -0.0107832691, -0.025402775, -0.0205828883, 0.1545315087, 0.0135251954, 0.0246035587, -0.0103959572, 0.1133165434, 0.0663472265, 0.0589698516, -0.0032983033, 0.0793314204, 0.0468709506, 0.0300997067, 0.0511006452, 0.0023945742, 0.019992698, 0.0234108828, -0.0134883085, -0.0955616534, 0.0564123578, 0.0075249267, 0.0523793921, 0.0053793387, -0.1324977279, -0.131809175, -0.0255011413, -0.0136481514, -0.034034308, 0.0039561195, -0.0599534996, -0.0456167944, -0.0443626419, 0.0010920059, 0.0331490226, -0.0102607049, 0.0377229974, 0.0471660458, -0.0133161694, 0.0537565015, -0.0168573111, -0.022845285 ]
802.1281
Igor Cialenco
Marius Marinel Stanescu, Igor Cialenco
Absence of eigenvalues for integro-differential operators with periodic coefficients
null
null
null
null
math.SP math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Applying perturbation theory methods, the absence of the point spectrum for some nonselfadjoint integro-differential operators is investigated. The considered differential operators are of arbitrary order and act in either $\mathbf{L}_{p}(\mathbb{R}_{+})$ or $\mathbf{L}_{p}(\mathbb{R}) (1\leq p<\infty)$. As an application of general results, new spectral properties of the perturbed Hill operator are derived.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 19:03:24 GMT" } ]
2008-02-12T00:00:00
[ [ "Stanescu", "Marius Marinel", "" ], [ "Cialenco", "Igor", "" ] ]
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802.1282
Michael Goff
Michael Goff
On the multiplicity conjecture for non-Cohen-Macaulay simplicial complexes
null
null
null
null
math.AC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove a reformulation of the multiplicity upper bound conjecture and use that reformulation to prove it for three-dimensional simplicial complexes and homology manifolds with many vertices. We provide necessary conditions for a Cohen-Macaulay complex with many vertices to have a pure minimal free resolution and a characterization of flag complexes whose minimal free resolution is pure.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 19:19:00 GMT" } ]
2008-02-12T00:00:00
[ [ "Goff", "Michael", "" ] ]
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802.1283
Frederik Witt
Damien Gayet, Frederik Witt
Deformations of associative submanifolds with boundary
19 pages
Adv. Math. 226 (2011), 2351-2370
10.1016/j.aim.2010.09.014
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $M$ be a topological $G_2$-manifold. We prove that the space of infinitesimal associative deformations of a compact associative submanifold $Y$ with boundary in a coassociative submanifold $X$ is the solution space of an elliptic problem. For a connected boundary $\partial Y$ of genus $g$, the index is given by $\int_{\partial Y}c_1(\nu_X)+1-g$, where $\nu_X$ denotes the orthogonal complement of $T\partial Y$ in $TX_{|\partial Y}$ and $c_1(\nu_X)$ the first Chern class of $\nu_X$ with respect to its natural complex structure. Further, we exhibit explicit examples of non-trivial index.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 19:48:51 GMT" }, { "version": "v2", "created": "Mon, 25 Feb 2008 12:09:12 GMT" }, { "version": "v3", "created": "Mon, 1 Nov 2010 19:40:36 GMT" }, { "version": "v4", "created": "Tue, 2 Nov 2010 16:25:23 GMT" } ]
2010-12-30T00:00:00
[ [ "Gayet", "Damien", "" ], [ "Witt", "Frederik", "" ] ]
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802.1284
Bin Jiang
Bin Jiang
Street Hierarchies: A Minority of Streets Account for a Majority of Traffic Flow
15 pages, 10 figures, 4 tables, submitted to Int. J. of Geographic Information Science
International Journal of Geographical Information Science, 23(8), 1033-1048, 2009
10.1080/13658810802004648
null
physics.data-an physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Urban streets are hierarchically organized in the sense that a majority of streets are trivial, while a minority of streets is vital. This hierarchy can be simply, but elegantly, characterized by the 80/20 principle, i.e. 80 percent of streets are less connected (below the average), while 20 percent of streets are well connected (above the average); out of the 20 percent, there is 1 percent of streets that are extremely well connected. This paper, using a European city as an example, examined, at a much more detailed level, such street hierarchies from the perspective of geometric and topological properties. Based on an empirical study, we further proved a previous conjecture that a minority of streets accounts for a majority of traffic flow; more accurately, the 20 percent of top streets accommodate 80 percent of traffic flow (20/80), and the 1 percent of top streets account for more than 20 percent of traffic flow (1/20). Our study provides new evidence as to how a city is (self-)organized, contributing to the understanding of cities and their evolution using increasingly available mobility geographic information.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 19:51:20 GMT" } ]
2009-09-15T00:00:00
[ [ "Jiang", "Bin", "" ] ]
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802.1285
Hans Fogedby
Hans C. Fogedby
Patterns in the Kardar-Parisi-Zhang equation
8 pages revtex, 4 eps figures
null
10.1007/s12043-008-0158-1
null
cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many body picture of a growing interface in terms of a network of localized growth modes. Scaling in 1d is associated with a gapless domain wall mode. The method also provides an independent argument for the existence of an upper critical dimension.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 19:59:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Fogedby", "Hans C.", "" ] ]
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802.1286
Tadafumi Ohsaku
Tadafumi Ohsaku
Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms
98 pages, mathematical aspects enlarged
null
null
null
hep-ph hep-th math-ph math.MP math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The structure of effective potential surface of the Nambu$-$Jona-Lasinio (NJL) model with right-left asymmetric Majorana mass terms (corresponds to the single-flavor type-II seesaw situation of neutrino) is investigated. After the dynamical generation of Dirac mass, two collective modes appear similar to the case of ordinary NJL model, and the phase mode (phason), which corresponds to majoron or pion at vanishing Majorana mass parameter(s), has an excitation mass. The mechanism of generation of phason as a pseudo Nambu-Goldstone boson is examined by a mathematical manner, summarized into a theorem (claims as the generalized Nambu-Goldstone theorem). The mass of phason is also evaluated in a supersymmetric version of the NJL-type model, and phason mass takes the order of that of axion commonly accepted today. An $SU(2_{c})$-gauge model is constructed for the context of neutrino seesaw mechanism, and the Schwinger-Dyson equation of dynamical mass functions is examined. Several physical implications such as decay modes of phason, a non-linear sigma model for phason are given. It is proposed that the method/result of this paper can be applied to an understanding on the origin of the Kobayashi-Maskawa matrix.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 20:03:25 GMT" }, { "version": "v10", "created": "Fri, 10 Dec 2010 15:01:24 GMT" }, { "version": "v2", "created": "Fri, 4 Apr 2008 21:15:26 GMT" }, { "version": "v3", "created": "Thu, 9 Oct 2008 16:30:54 GMT" }, { "version": "v4", "created": "Wed, 25 Mar 2009 23:36:29 GMT" }, { "version": "v5", "created": "Thu, 28 May 2009 21:29:42 GMT" }, { "version": "v6", "created": "Mon, 17 Aug 2009 12:40:48 GMT" }, { "version": "v7", "created": "Wed, 9 Sep 2009 14:28:22 GMT" }, { "version": "v8", "created": "Mon, 26 Apr 2010 15:02:04 GMT" }, { "version": "v9", "created": "Fri, 16 Jul 2010 16:53:21 GMT" } ]
2010-12-21T00:00:00
[ [ "Ohsaku", "Tadafumi", "" ] ]
[ 0.0515340678, -0.0048268079, -0.0466741771, -0.032286983, -0.0544692464, 0.0562977195, -0.058366783, 0.0026720366, 0.0111151906, -0.0453750007, -0.0736682117, 0.015229255, -0.0938295349, 0.1282818168, 0.0312524512, 0.0449660011, -0.0466260612, -0.0075063626, 0.0661618486, -0.0650551468, -0.0084867608, -0.0750155076, 0.1093234345, 0.0978233069, 0.0428488217, -0.0805490464, 0.0073018624, -0.0050884476, 0.1191394478, -0.025261797, 0.0290149786, -0.0393602848, -0.1247211024, -0.0223867651, -0.0820888132, 0.0585592538, 0.0120775448, -0.0611094907, -0.1086497903, 0.0221221168, -0.0420067608, -0.0521595962, -0.0726577416, 0.1266458184, 0.0079755103, 0.054517366, -0.0557203069, 0.0315170996, 0.0060207285, 0.003268997, 0.0397452265, -0.0341635719, 0.0320945121, 0.0052297935, -0.1295328736, -0.0282210372, 0.0274030361, 0.0601471364, -0.0443645269, -0.0234573837, -0.0136293415, -0.1328048855, -0.0369543992, 0.1044154316, -0.0421751738, -0.0457599424, -0.0382054597, -0.0187057592, 0.0340432785, 0.0499461815, -0.0750636235, -0.0228198245, 0.0125827808, 0.0246362668, -0.0201974083, 0.0389272273, 0.0271143299, 0.0406113453, -0.067076087, 0.1111519113, 0.034115456, 0.0658250302, -0.0788649246, -0.0079334071, -0.0210875869, -0.0011495622, 0.0145796658, 0.0519671254, -0.1402150095, 0.0767477453, 0.0851202309, 0.0082762465, -0.0540843047, 0.0621199645, 0.0696263239, -0.1011434272, -0.0103092194, -0.0107422788, 0.0866118744, -0.0007593576, 0.0052628745, -0.0210875869, 0.0614463165, -0.021749204, 0.0435946435, -0.0110069262, 0.0061710961, -0.003016379, -0.113750264, 0.0293277446, 0.0794423372, 0.0051516024, -0.0563458391, 0.0219777636, -0.0491522402, -0.0712142065, -0.0632747859, -0.0035667252, -0.0359198712, 0.0854570493, 0.0403948165, -0.0088837324, 0.0233130306, 0.0157946385, -0.037964873, -0.08362858, -0.0595216081, -0.0079755103, -0.0348372199, 0.076074101, 0.1386752427, 0.0196560845, -0.0537474826, -0.0444126464, -0.0778544545, 0.0107603231, 0.0375799313, -0.0297126863, 0.1211603954, 0.0055996985, 0.0709736198, 0.0824737549, -0.026585035, 0.0721765608, 0.0379889309, 0.1009509563, 0.0720803291, -0.0182967596, -0.0207146741, -0.0414052904, 0.0204259679, -0.0940701216, 0.0706849173, 0.0362566933, -0.0099663809, -0.0938776508, 0.0212920867, 0.0675572604, -0.0152894026, -0.0450862944, 0.0537955984, 0.0378926955, -0.0245280024, 0.0185854658, 0.1156749725, 0.1045116633, -0.1324199438, -0.0563458391, -0.0270180944, -0.1059551984, -0.0263203867, -0.0122579867, -0.0393362269, -0.0253580324, 0.0541324243, -0.0356071033, -0.0791055113, -0.1512820721, -0.0551428944, 0.0754004493, 0.0532181859, 0.0420548767, -0.0766515136, 0.0037652107, -0.0530257151, -0.0557684265, 0.0499943011, 0.1360768825, 0.0233731773, -0.0205101743, -0.015722461, 0.0610613748, 0.0787686929, 0.1692781001, 0.0133165764, -0.1334785223, 0.0299292151, 0.1329973489, 0.0841578767, 0.0167569928, 0.0175990518, -0.0439314693, 0.1118255556, -0.1421397179, -0.0504754782, 0.0325997472, 0.1406961828, 0.0007646205, 0.031613335, -0.0803565755, 0.0544211306, -0.0073439656, 0.1134615615, -0.0325997472, -0.1098046154, 0.0578374863, -0.0458080582, 0.0548541881, 0.044990059, 0.0690007955, -0.0288465675, 0.039312169, -0.0107182199, 0.0333936885, 0.112595439, 0.0251415037, 0.0357274003, 0.0519190095, 0.0023066427, 0.0278120358, 0.0903650597, 0.0200530551, -0.0701556206, -0.0179599356, -0.0549023077, -0.0003454701, 0.0214003511, -0.0540361889, 0.0200049374, 0.037459638, -0.0120474715, 0.0075785392, 0.027258683, 0.1293404102, 0.0650070235, 0.0295202155, -0.0042253365, 0.0306750406, 0.0684233829, 0.0072236713, 0.0256226808, 0.0935889482, -0.0326478668, 0.0601471364, -0.0777100995, 0.1281855851 ]
802.1287
Atul Narang
J. T. Noel, S. S. Pilyugin, Atul Narang
The diffusive influx and carrier efflux have a strong effect on the bistability of the lac operon in Escherichia coli
38 pages, 20 figures
null
null
null
q-bio.MN q-bio.CB
null
In the presence of gratuitous inducers, the lac operon of Escherichia coli exhibits bistability. Most models in the literature assume that the inducer enters the cell via the carrier (permease), and exits by a diffusion-like process. The diffusive influx and carrier efflux are neglected. However, analysis of the data shows that in non-induced cells, the diffusive influx is comparable to the carrier influx, and in induced cells, the carrier efflux is 7 times the diffusive efflux. Since bistability entails the coexistence of steady states corresponding to both non-induced and induced cells, neither one of these fluxes can be ignored. Here, we formulate a model accounting for both fluxes. We show that: (a) The thresholds of bistability are profoundly affected by both fluxes. The diffusive influx reduces the on threshold by enhancing inducer accumulation in non-induced cells. The carrier efflux increases the off threshold by decreasing inducer accumulation in induced cells. (b) Simulations of the model with experimentally measured parameter values are in good agreement with the data for IPTG. However, there are discrepancies with respect to the data for TMG. They are most likely due to two features missing from the model, namely, the variation of the inducer exclusion effect and the specific growth rate with the lactose enzyme levels. (c) The steady states and thresholds obtained in the presence of both fluxes are well approximated by simple analytical expressions, which may be useful for the preliminary design of the lac genetic switch in synthetic biology.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 20:22:45 GMT" } ]
2008-02-12T00:00:00
[ [ "Noel", "J. T.", "" ], [ "Pilyugin", "S. S.", "" ], [ "Narang", "Atul", "" ] ]
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802.1288
Alberto Ohashi
Alberto Ohashi
Fractional term structure models: No-arbitrage and consistency
Published in at http://dx.doi.org/10.1214/08-AAP586 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2009, Vol. 19, No. 4, 1553-1580
10.1214/08-AAP586
IMS-AAP-AAP586
q-fin.PR math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we introduce Heath-Jarrow-Morton (HJM) interest rate models driven by fractional Brownian motions. By using support arguments we prove that the resulting model is arbitrage free under proportional transaction costs in the same spirit of Guasoni [Math. Finance 16 (2006) 569-582]. In particular, we obtain a drift condition which is similar in nature to the classical HJM no-arbitrage drift restriction. The second part of this paper deals with consistency problems related to the fractional HJM dynamics. We give a fairly complete characterization of finite-dimensional invariant manifolds for HJM models with fractional Brownian motion by means of Nagumo-type conditions. As an application, we investigate consistency of Nelson-Siegel family with respect to Ho-Lee and Hull-White models. It turns out that similar to the Brownian case such a family does not go well with the fractional HJM dynamics with deterministic volatility. In fact, there is no nontrivial fractional interest rate model consistent with the Nelson-Siegel family.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 20:09:37 GMT" }, { "version": "v2", "created": "Thu, 11 Dec 2008 22:43:14 GMT" }, { "version": "v3", "created": "Wed, 9 Sep 2009 07:14:45 GMT" } ]
2009-09-09T00:00:00
[ [ "Ohashi", "Alberto", "" ] ]
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802.1289
Mari\'an Koles\'ar
M.Kolesar, J.Novotny
Pi-eta scattering and the resummation of vacuum fluctuation in three-flavour ChPT
Version submitted to EPJ C
Eur.Phys.J.C56:231-266,2008
10.1140/epjc/s10052-008-0645-z
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss various aspects of resummed chiral perturbation theory, which was developed recently in order to consistently include the possibility of large vacuum fluctuations of the ss-pairs and the scenario with smaller value of the chiral condensate for N_f=3. The subtleties of this approach are illustrated using a concrete example of observables connected with pi-eta scattering. This process seems to be a suitable theoretical laboratory for this purpose due to its sensitivity to the values of the O(p^4) LEC's, namely to the values of the fluctuation parameters L4 and L6. We discuss several issues in detail, namely the choice of `good' observables and properties of their bare expansions, the `safe' reparametrization in terms of physical observables, the implementation of exact perturbative unitarity and exact renormalization scale independence, the role of higher order remainders and their estimates. We make a detailed comparison with standard chiral perturbation theory and use generalized ChPT as well as resonance chiral theory to estimate the higher order remainders.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 20:23:29 GMT" }, { "version": "v2", "created": "Mon, 5 Sep 2011 09:45:48 GMT" } ]
2011-09-06T00:00:00
[ [ "Kolesar", "M.", "" ], [ "Novotny", "J.", "" ] ]
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802.129
Mohamed Anber
Mohamed M. Anber, David Kastor
C-Functions in Lovelock Gravity
17 pages, 3 figures, v2-references added, few comments added
JHEP0805:061,2008
10.1088/1126-6708/2008/05/061
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present C-functions for static and spherically symmetric spacetimes in Lovelock gravity theories. These functions are monotonically increasing functions of the outward radial coordinate and acquire their minima when evaluated on the horizon. Unlike the case of Einstein gravity, where there is a single C-function, we find that this function is non-unique in the case of Lovelock gravity. We define two C-functions, which agree at the horizon giving the black hole entropy, and state the different energy conditions that must hold in order for these functions to satisfy the monotonicity condition.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 21:05:14 GMT" }, { "version": "v2", "created": "Wed, 5 Mar 2008 15:50:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Anber", "Mohamed M.", "" ], [ "Kastor", "David", "" ] ]
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802.1291
Enrique Vazquez-Semadeni
Enrique Vazquez-Semadeni, Javier Ballesteros-Paredes, Ralf S. Klessen, A. Katharina Jappsen
Massive Star Forming Regions: Turbulent Support or Global Collapse?
7 pages, 4 figures. To appear in the proceedings of "Massive Star Formation: Observations confront Theory", ASP Conference Series, ed: H. Beuther et al
null
null
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present preliminary numerical evidence that the physical conditions in high-mass star forming regions can arise from global gravitational infall, with the velocity dispersions being caused primarily by infall motions rather than random turbulence. To this end, we study the clumps and cores appearing in the region of central collapse in a numerical simulation of the formation, evolution, and subsequent collapse of a dense cloud out of a transonic compression in the diffuse atomic ISM. The clumps have sizes $\sim 1$ pc, masses of several hundred $M_\odot$, and three-dimensional velocity dispersions $\sim 3$ km s$^{-1}$, in agreement with typical observed values for such structures. The clumps break down into massive cores of sizes $\sim 0.1$ pc, densities $\sim 10^5$, masses 2-300 $M_\odot$, with distributions of these quantities that peak at the same values as the massive core sample in a recent survey of the Cygnus X molecular cloud complex. Although preliminary, these results suggest that high-mass star forming clumps may be in a state of global gravitational collapse rather than in equilibrium supported by strong turbulence.
[ { "version": "v1", "created": "Sat, 9 Feb 2008 22:21:39 GMT" } ]
2008-02-12T00:00:00
[ [ "Vazquez-Semadeni", "Enrique", "" ], [ "Ballesteros-Paredes", "Javier", "" ], [ "Klessen", "Ralf S.", "" ], [ "Jappsen", "A. Katharina", "" ] ]
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802.1292
Fakhar ul Inam
Y. Pan, F. Inam, M. Zhang and D. A. Drabold
Atomistic Origin of Urbach Tails in Amorphous Silicon
4 pages, 4 figures, submitted to Phys. Rev. Lett
null
10.1103/PhysRevLett.100.206403
null
cond-mat.dis-nn cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Exponential band edges have been observed in a variety of materials, both crystalline and amorphous. In this paper, we infer the structural origins of these tails in amorphous and defective crystalline Si by direct calculation with current {\it ab initio} methods. We find that exponential tails appear in relaxed models of diamond with suitable point defects. In amorphous silicon (a-Si), we find that structural filaments of short bonds and long bonds exist in the network, and that the tail states near the extreme edges of both band tails are are also filamentary, with much localization on the structural filaments. We connect the existence of both filament systems to structural relaxation in the presence of defects and or topological disorder.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 00:21:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Pan", "Y.", "" ], [ "Inam", "F.", "" ], [ "Zhang", "M.", "" ], [ "Drabold", "D. A.", "" ] ]
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802.1293
Hansheng Diao
Hansheng Diao
A poset structure on quasifibonacci partitions
16 pages, 6 figures
null
null
null
math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we study partitions of positive integers into distinct quasifibonacci numbers. A digraph and poset structure is constructed on the set of such partitions. Furthermore, we discuss the symmetric and recursive relations between these posets. Finally, we prove a strong generalization of Robbins' result on the coefficients of a quasifibonacci power series.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 00:36:56 GMT" } ]
2008-02-12T00:00:00
[ [ "Diao", "Hansheng", "" ] ]
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802.1294
Paul Frampton
Irina Aref'eva, Paul H. Frampton and Shinya Matsuzaki
Multifluid Models for Cyclic Cosmology
6 pages latex. Additional reference
Proc.Steklov Inst.Math.265:59-62,2009
null
null
hep-th astro-ph gr-qc hep-ph
null
Inspired by the Landau two-fluid model of superfluidity, we consider a similar multifluid description for cosmology where two normal fluids occur for matter and radiation respectively. For cyclic cosmology, two dark energy superfluid components turn out to be insufficient but three superfluids can lead to a sensible five-fluid model which in a certain limit becomes indistinguishable from the brane-world cyclic model proposed earlier (Baum and Frampton). Distinguishing more general five-fluid models from brane-world models for cyclic cosmology could be feasible with more accurate observational data.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 14:21:01 GMT" }, { "version": "v2", "created": "Mon, 7 Apr 2008 00:38:30 GMT" } ]
2009-10-02T00:00:00
[ [ "Aref'eva", "Irina", "" ], [ "Frampton", "Paul H.", "" ], [ "Matsuzaki", "Shinya", "" ] ]
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802.1295
Hong Huang
Hong Huang
The advanced maximum principle for parabolic systems on manifolds with boundary
4 pages, the main result is generalized
null
null
null
math.DG math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this short note we extend Chow and Lu's advanced maximum principles for parabolic systems on closed manifolds to the case of compact manifolds with boundary, which also generalizes a Hopf type theorem of Pulemotov.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 01:07:35 GMT" }, { "version": "v2", "created": "Tue, 19 Feb 2008 09:05:47 GMT" }, { "version": "v3", "created": "Wed, 20 Feb 2008 07:25:01 GMT" }, { "version": "v4", "created": "Sat, 23 Feb 2008 09:22:47 GMT" } ]
2008-02-23T00:00:00
[ [ "Huang", "Hong", "" ] ]
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802.1296
Dusko Pavlovic
Dusko Pavlovic
On quantum statistics in data analysis
7 pages, Quantum Interaction 2008 (Oxford, April 2008) v3: added two diagrams, changed some wordings
null
null
null
cs.IR math.CT quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Originally, quantum probability theory was developed to analyze statistical phenomena in quantum systems, where classical probability theory does not apply, because the lattice of measurable sets is not necessarily distributive. On the other hand, it is well known that the lattices of concepts, that arise in data analysis, are in general also non-distributive, albeit for completely different reasons. In his recent book, van Rijsbergen argues that many of the logical tools developed for quantum systems are also suitable for applications in information retrieval. I explore the mathematical support for this idea on an abstract vector space model, covering several forms of data analysis (information retrieval, data mining, collaborative filtering, formal concept analysis...), and roughly based on an idea from categorical quantum mechanics. It turns out that quantum (i.e., noncommutative) probability distributions arise already in this rudimentary mathematical framework. We show that a Bell-type inequality must be satisfied by the standard similarity measures, if they are used for preference predictions. The fact that already a very general, abstract version of the vector space model yields simple counterexamples for such inequalities seems to be an indicator of a genuine need for quantum statistics in data analysis.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 01:42:31 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 12:08:53 GMT" }, { "version": "v3", "created": "Tue, 13 May 2008 18:46:10 GMT" } ]
2009-04-18T00:00:00
[ [ "Pavlovic", "Dusko", "" ] ]
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802.1297
Qing-Hu Chen
Qing-Hu Chen
Dynamics of vortex glass phase in strongly type II superconductors
6 pages, 5 figures
Phys. Rev. B78, 104501(2008)
10.1103/PhysRevB.78.104501
null
cond-mat.supr-con cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Dynamics of vortices in strongly type-II superconductors with strong disorder is investigated within the frustrated three-dimensional XY model. For two typical models in [Phys. Rev. Lett. {\bf 91}, 077002 (2003)] and [Phys. Rev. B {\bf 68}, 220502(R) (2003)], a strong evidence for the finite temperature vortex glass transition in the unscreened limit is provided by performing large-scale dynamical simulations. The obtained correlation length exponents and the dynamic exponents in both models are different from each other and from those in the three-dimensional gauge glass model. In addition, a genuine continuous depinning transition is observed at zero temperature for both models. A scaling analysis for the thermal rounding of the depinning transition shows a non-Arrhenius type creep motion in the vortex glass phase, contrarily to the recent studies..
[ { "version": "v1", "created": "Sun, 10 Feb 2008 01:45:51 GMT" }, { "version": "v2", "created": "Wed, 1 Oct 2008 07:42:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Chen", "Qing-Hu", "" ] ]
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802.1298
Gao Changjun
Changjun Gao, Xuelei Chen, Valerio Faraoni, You-Gen Shen
Does the mass of a black hole decrease due to the accretion of phantom energy
12 pages, 5 figures. PRD accepted
Phys.Rev.D78:024008,2008
10.1103/PhysRevD.78.024008
null
gr-qc astro-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
According to Babichev et al., the accretion of a phantom test fluid onto a Schwarzschild black hole will induce the mass of the black hole to decrease, however the backreaction was ignored in their calculation. Using new exact solutions describing black holes in a background Friedmann-Robertson-Walker universe, we find that the physical black hole mass may instead increase due to the accretion of phantom energy. If this is the case, and the future universe is dominated by phantom dark energy, the black hole apparent horizon and the cosmic apparent horizon will eventually coincide and, after that, the black hole singularity will become naked in finite comoving time before the Big Rip occurs, violating the Cosmic Censorship Conjecture.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 01:46:47 GMT" }, { "version": "v2", "created": "Tue, 3 Jun 2008 01:46:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Gao", "Changjun", "" ], [ "Chen", "Xuelei", "" ], [ "Faraoni", "Valerio", "" ], [ "Shen", "You-Gen", "" ] ]
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802.1299
LuXin Liu
Lu-Xin Liu
Nonlinear Realization of N=2 Superconformal Symmetry and Brane Effective Actions
22 pages, more references and comments are added
Eur.Phys.J.C62:615-623,2009
10.1140/epjc/s10052-009-1049-4
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Due to the incompatibility of the nonlinear realization of superconformal symmetry and dilatation symmetry with the dilaton as the compensator field, in the present paper it shows an alternative mechanism of spontaneous breaking the N=2 superconformal symmetry to the N=0 case. By using the approach of nonlinear transformations it is found that it leads to a space-filling brane theory with Weyl scale W(1,3) symmetry. The dynamics of the resulting Weyl scale invariant brane, along with that of other Nambu-Goldstone fields, is derived in terms of the building blocks of the vierbein and the covariant derivative from the Maurer-Cartan oneforms. A general coupling of the matter fields localized on the brane world volume to these NG fields is also constructed.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 01:59:02 GMT" }, { "version": "v2", "created": "Mon, 18 Feb 2008 03:06:32 GMT" }, { "version": "v3", "created": "Mon, 8 Dec 2008 01:57:59 GMT" } ]
2009-08-05T00:00:00
[ [ "Liu", "Lu-Xin", "" ] ]
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802.13
Brian Puchala
B. Puchala, M. L. Falk, K. Garikipati
Elastic effects on relaxation volume tensor calculations
31 pages, 6 figures, submitted to Phys. Rev. B
null
10.1103/PhysRevB.77.174116
null
cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Relaxation volume tensors quantify the effect of stress on diffusion of crystal defects. Continuum linear elasticity predicts that calculations of these parameters using periodic boundary conditions do not suffer from systematic deviations due to elastic image effects and should be independent of supercell size or symmetry. In practice, however, calculations of formation volume tensors of the <110> interstitial in Stillinger-Weber silicon demonstrate that changes in bonding at the defect affect the elastic moduli and result in system-size dependent relaxation volumes. These vary with the inverse of the system size. Knowing the rate of convergence permits accurate estimates of these quantities from modestly sized calculations. Furthermore, within the continuum linear elasticity assumptions the average stress can be used to estimate the relaxation volume tensor from constant volume calculations.
[ { "version": "v1", "created": "Mon, 11 Feb 2008 20:44:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Puchala", "B.", "" ], [ "Falk", "M. L.", "" ], [ "Garikipati", "K.", "" ] ]
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802.1301
Noam D. Elkies
Noam D. Elkies
Shimura curve computations via K3 surfaces of Neron-Severi rank at least 19
16 pages (1 figure drawn with the LaTeX picture environment); To appear in the proceedings of ANTS-VIII, Banff, May 2008
null
null
null
math.NT math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is known that K3 surfaces S whose Picard number rho (= rank of the Neron-Severi group of S) is at least 19 are parametrized by modular curves X, and these modular curves X include various Shimura modular curves associated with congruence subgroups of quaternion algebras over Q. In a family of such K3 surfaces, a surface has rho=20 if and only if it corresponds to a CM point on X. We use this to compute equations for Shimura curves, natural maps between them, and CM coordinates well beyond what could be done by working with the curves directly as we did in ``Shimura Curve Computations'' (1998) = <http://arxiv.org/abs/math/0005160>
[ { "version": "v1", "created": "Sun, 10 Feb 2008 04:05:37 GMT" } ]
2008-02-12T00:00:00
[ [ "Elkies", "Noam D.", "" ] ]
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802.1302
Tetsuya Nakajima
Tetsuya Nakajima and Koji Hukushima
Large Deviation Property of Free Energy in p-Body Sherrington-Kirkpatrick Model
7 pages, 5 figures. accepted for publication in J.Phs.Soc.Jpn
null
10.1143/JPSJ.77.074718
null
cond-mat.dis-nn cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Cumulant generating function phi(n) and rate function Sigma(f) of the free energy is evaluated in p-body Sherrington-Kirkpatrick model by using the replica method with the replica number n finite. From a perturbational argument, we show that the cumulant generating function is constant in the vicinity of n = 0. On the other hand, with the help of two analytic properties of phi(n), the behavior of phi(n) is derived again. However this is also shown to be broken at a finite value of n, which gives a characteristic value in the rate function near the thermodynamic value of the free energy. Through the continuation of phi(n) as a function of n, we find out a way to derive the 1RSB solution at least in this model, which is to fix the RS solution to be a monotone increasing function.
[ { "version": "v1", "created": "Sun, 10 Feb 2008 04:54:26 GMT" }, { "version": "v2", "created": "Wed, 21 May 2008 08:47:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Nakajima", "Tetsuya", "" ], [ "Hukushima", "Koji", "" ] ]
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