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0707.1030
Tom Gehrels
Tom Gehrels
The multiverse and the origin of our universe
16 pages
null
null
null
astro-ph
null
The multiverse is a hierarchy in the number of universes, increasing stepwise towards infinity. It is an evolutionary system, in which universes survive only near critical mass. That mass is actually a factor of 1.94 less than the critical mass, and this is found to be consistent with the baryon density inferred from nucleosynthesis in our universe; it is also precisely verified as a cosmological effect. That factor seems to have originated in the multiverse for causing intersecting expansions of its universes, such that mixing occurs of debris from aging galaxies (over proton-decaying time scales). It follows that there is an inter-universal medium (IUM), probably having the demand of new universes in balance with the supply of dark radiation and sub-atomic particles from the decaying galaxies. The mixing causes the universes to have the same quantum, relativity, gravity, and particle physics as our universe. The making of a universe from the radiation and sub-atomic particles occurs through re-vitalizing the protons, and other particles as well, by gravitational energy obtained in accretion of the IUM. This process therefore begins wherever the IUM space density reaches proton density, near 10 E18 kg m E-3. The process continues quietly as the sweeping-up and gravitational accretion proceeds, until the near-critical mass is reached. Some of the IUM debris must also be pervading our present universe, steadily or in partially accreted lumps. The model therefore predicts that the IUM sub-atomic particles appear as our dark matter, and its radiation component as our dark energy, both near 0 K temperatures. The dark energy may cause expansion phenomena, in addition to the above non-flatness expansion, from an accretion lump that arrived at our universe at age near 9 x 10 E9 y.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 19:14:03 GMT" } ]
2007-07-09T00:00:00
[ [ "Gehrels", "Tom", "" ] ]
0707.1031
Niklas Beisert
Niklas Beisert, Benjamin I. Zwiebel
On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
35 pages, v2: references added, sign inconsistency resolved in (5.5,5.6), v3: Section 3.4 on Hamiltonian added, minor improvements, to appear in JHEP
JHEP 0710:031,2007
10.1088/1126-6708/2007/10/031
AEI-2007-096, PUTP-2232
hep-th
null
Strong evidence indicates that the spectrum of planar anomalous dimensions of N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A curious observation is that the Bethe equations for the psu(1,1|2) subsector lead to very large degeneracies of 2^M multiplets, which apparently do not follow from conventional integrable structures. In this article, we explain such degeneracies by constructing suitable conserved nonlocal generators acting on the spin chain. We propose that they generate a subalgebra of the loop algebra for the su(2) automorphism of psu(1,1|2). Then the degenerate multiplets of size 2^M transform in irreducible tensor products of M two-dimensional evaluation representations of the loop algebra.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 19:28:28 GMT" }, { "version": "v2", "created": "Thu, 16 Aug 2007 16:09:41 GMT" }, { "version": "v3", "created": "Wed, 19 Sep 2007 11:55:17 GMT" } ]
2009-11-18T00:00:00
[ [ "Beisert", "Niklas", "" ], [ "Zwiebel", "Benjamin I.", "" ] ]
0707.1032
Liz Humphreys Dr
Jim Moran, Liz Humphreys, Lincoln Greenhill, Mark Reid and Alice Argon
The structure of the accretion disk in NGC 4258 derived from observations of its water vapor masers
8 pages, 5 figures, to appear in proceedings of IAU Symposium 242 "Astrophysical Masers and their Environments", held in Alice Springs, March 2007
null
10.1017/S1743921307013440
null
astro-ph
null
A wealth of new information about the structure of the maser disk in NGC 4258 has been obtained from a series of 18 VLBA observations spanning three years, as well as from 32 additional epochs of spectral monitoring data from 1994 to the present, acquired with the VLA, Effelsberg, and GBT. The warp of the disk has been defined precisely. The thickness of the maser disk has been measured to be 12 microarcseconds (FWHM), which is slightly smaller than previously quoted upper limits. Under the assumption that the masers trace the true vertical distribution of material in the disk, from the condition of hydrostatic equilibrium the sound speed is 1.5 km/s, corresponding to a thermal temperature of 600K. The accelerations of the high velocity maser components have been accurately measured for many features on both the blue and red side of the spectrum. The azimuthal offsets of these masers from the midline (the line through the disk in the plane of the sky) and derived projected offsets from the midline based on the warp model correspond well with the measured offsets. This result suggests that the masers are well described as discrete clumps of masing gas, which accurately trace the Keplerian motion of the disk. However, we have continued to search for evidence of apparent motions caused by ``phase effects.'' This work provides the foundation for refining the estimate of the distance to NGC 4258 through measurements of feature acceleration and proper motion. The refined estimate of this distance is expected to be announced in the near future.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 19:29:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Moran", "Jim", "" ], [ "Humphreys", "Liz", "" ], [ "Greenhill", "Lincoln", "" ], [ "Reid", "Mark", "" ], [ "Argon", "Alice", "" ] ]
0707.1033
Felipe Fanchini
F. F. Fanchini, J. E. M. Hornos, and R. d. J. Napolitano
Continuously decoupling a Hadamard quantum gate from independent classes of errors
null
Phys. Rev. A 76, 032319 (2007)
10.1103/PhysRevA.76.032319
null
quant-ph
null
We consider protecting a Hadamard operation from independent dephasing, bit flipping, and dissipation. These environment-induced errors are represented by three uncorrelated reservoirs of thermalized bosons and we show that the protection is achievable through continuous dynamical decoupling. We find that, to decouple the Hadamard evolution from the environmental influence, we need a control field of higher frequency if the boson spectral density is super-ohmic than if it is ohmic. We also study the relevance of bit flipping and dissipation to the gate fidelity when it is protected from dephasing, showing how robust this partial protection is against these other perturbations. Finally, we calculate an efficient field arrangement capable of protecting simultaneously the gate operation from these three error classes.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 19:30:23 GMT" } ]
2012-10-22T00:00:00
[ [ "Fanchini", "F. F.", "" ], [ "Hornos", "J. E. M.", "" ], [ "Napolitano", "R. d. J.", "" ] ]
0707.1034
Oskar Painter J
Matthew Borselli, Thomas J. Johnson, and Oskar Painter
Accurate measurement of scattering and absorption loss in microphotonic devices
3 pages, 3 figures
null
10.1364/OL.32.002954
null
physics.optics
null
We present a simple measurement and analysis technique to determine the fraction of optical loss due to both radiation (scattering) and linear absorption in microphotonic components. The method is generally applicable to optical materials in which both nonlinear and linear absorption are present, and requires only limited knowledge of absolute optical power levels, material parameters, and the structure geometry. The technique is applied to high quality factor (Q=1-5 X 10^6) silicon-on-insulator microdisk resonators. It is determined that linear absorption can account for more than half the total optical loss in the high-Q regime of these devices.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 19:37:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Borselli", "Matthew", "" ], [ "Johnson", "Thomas J.", "" ], [ "Painter", "Oskar", "" ] ]
0707.1035
Harald Ita
Z. Bern, J.J. Carrasco, D. Forde, H. Ita, H. Johansson
Unexpected Cancellations in Gravity Theories
40 pages, 6 figures. v2 minor corrections, removed comment on absence of rational terms in N=4 supergravity
Phys.Rev.D77:025010,2008
10.1103/PhysRevD.77.025010
UCLA/07/TEP/16, SLAC-PUB-12609
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent computations of scattering amplitudes show that N=8 supergravity is surprisingly well behaved in the ultraviolet and may even be ultraviolet finite in perturbation theory. The novel cancellations necessary for ultraviolet finiteness first appear at one loop in the guise of the "no-triangle hypothesis". We study one-loop amplitudes in pure Einstein gravity and point out the existence of cancellations similar to those found previously in N=8 supergravity. These cancellations go beyond those found in the one-loop effective action. Using unitarity, this suggests that generic theories of quantum gravity based on the Einstein-Hilbert action may be better behaved in the ultraviolet at higher loops than suggested by naive power counting, though without additional (supersymmetric) cancellations they diverge. We comment on future studies that should be performed to support this proposal.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 22:41:47 GMT" }, { "version": "v2", "created": "Sun, 30 Jan 2011 22:53:35 GMT" } ]
2015-03-13T00:00:00
[ [ "Bern", "Z.", "" ], [ "Carrasco", "J. J.", "" ], [ "Forde", "D.", "" ], [ "Ita", "H.", "" ], [ "Johansson", "H.", "" ] ]
0707.1036
Jun Liang Song
Jun Liang Song, Fei Zhou (UBC)
Tunable Quantum Fluctuation-Controlled Coherent Spin Dynamics
14 pages, 12 figures included; including detailed discussions on thermal effects, trapping potentials and spin exchange losses. (To appear in PRA)
Phys. Rev. A 77, 033628 (2008)
10.1103/PhysRevA.77.033628
null
cond-mat.other
null
Temporal evolution of a macroscopic condensate of ultra cold atoms is usually driven by mean field potentials, either due to scattering between atoms or due to coupling to external fields; and coherent quantum dynamics have been observed in various cold-atom experiments. In this article, we report results of studies of a class of quantum spin dynamics which are purely driven by zero point quantum fluctuations of spin collective coordinates. Unlike the usual mean-field coherent dynamics, quantum fluctuation-controlled spin dynamics or QFCSD studied here are very sensitive to variation of quantum fluctuations and can be tuned by four to five order of magnitude using optical lattices. They have unique dependence on optical lattice potential depths and quadratic Zeeman fields. QFCSD can be potentially used to calibrate quantum fluctuations and investigate correlated fluctuations and various universal scaling properties near quantum critical points.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 19:36:22 GMT" }, { "version": "v2", "created": "Thu, 12 Jul 2007 19:56:18 GMT" }, { "version": "v3", "created": "Fri, 29 Feb 2008 03:01:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Song", "Jun Liang", "", "UBC" ], [ "Zhou", "Fei", "", "UBC" ] ]
0707.1037
Wayne Witzel
W. M. Witzel and S. Das Sarma
Concatenated dynamical decoupling in a solid-state spin bath
null
Phys. Rev. B 76, 241303(R) (2007)
10.1103/PhysRevB.76.241303
null
cond-mat.mes-hall quant-ph
null
Concatenated dynamical decoupling (CDD) pulse sequences hold much promise as a strategy to mitigate decoherence in quantum information processing. It is important to investigate the actual performance of these dynamical decoupling strategies in real systems that are promising qubit candidates. In this Rapid Communication, we compute the echo decay of concatenations of the Hahn echo sequence for a solid-state electronic spin qubit in a nuclear spin bath using a cluster expansion technique. We find that each level of concatenation reverses the effect of successive levels of intrabath fluctuations. On the one hand, this advances CDD as a versatile and realistic decoupling strategy. On the other hand, this invalidates, as overly optimistic, results of the simple pair approximation used previously to study restoration, through CDD, of coherence lost to a mesoscopic spin bath.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:42:26 GMT" }, { "version": "v2", "created": "Thu, 13 Dec 2007 18:42:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Witzel", "W. M.", "" ], [ "Sarma", "S. Das", "" ] ]
0707.1038
Paul Koerber
Paul Koerber and Luca Martucci
From ten to four and back again: how to generalize the geometry
LaTeX, 47 pages, v2, references, hyperref added, v3, correcting small inaccuracies in eqs. (2.6a) and (5.16)
JHEP 0708:059,2007
10.1088/1126-6708/2007/08/059
MPP-2007-92, KUL-TF-07/12
hep-th
null
We discuss the four-dimensional N=1 effective approach in the study of warped type II flux compactifications with SU(3)x SU(3)-structure to AdS_4 or flat Minkowski space-time. The non-trivial warping makes it natural to use a supergravity formulation invariant under local complexified Weyl transformations. We obtain the classical superpotential from a standard argument involving domain walls and generalized calibrations and show how the resulting F-flatness and D-flatness equations exactly reproduce the full ten-dimensional supersymmetry equations. Furthermore, we consider the effect of non-perturbative corrections to this superpotential arising from gaugino condensation or Euclidean D-brane instantons. For the latter we derive the supersymmetry conditions in N=1 flux vacua in full generality. We find that the non-perturbative corrections induce a quantum deformation of the internal generalized geometry. Smeared instantons allow to understand KKLT-like AdS vacua from a ten-dimensional point of view. On the other hand, non-smeared instantons in IIB warped Calabi-Yau compactifications 'destabilize' the Calabi-Yau complex structure into a genuine generalized complex one. This deformation gives a geometrical explanation of the non-trivial superpotential for mobile D3-branes induced by the non-perturbative corrections.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 09:54:15 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 11:29:42 GMT" }, { "version": "v3", "created": "Thu, 22 Nov 2007 12:01:10 GMT" } ]
2009-11-18T00:00:00
[ [ "Koerber", "Paul", "" ], [ "Martucci", "Luca", "" ] ]
0707.1039
Paul Tupper
P. F. Tupper, Martin Grant
Phase Field Crystals as a Coarse-Graining in Time of Molecular Dynamics
5 pages, 4 figures, typos corrected, more explanation in parts, equilib vs non-equilib clarified
null
10.1209/0295-5075/81/40007
null
cond-mat.mtrl-sci
null
Phase field crystals (PFC) are a tool for simulating materials at the atomic level. They combine the small length-scale resolution of molecular dynamics (MD) with the ability to simulate dynamics on mesoscopic time scales. We show how PFC can be interpreted as the result of applying coarse-graining in time to the microscopic density field of molecular dynamics simulations. We take the form of the free energy for the phase field from the classical density functional theory of inhomogeneous liquids and then choose coefficients to match the structure factor of the time coarse-grained microscopic density field. As an example, we show how to construct a PFC free energy for Weber and Stillinger's two-dimensional square crystal potential which models a system of proteins suspended in a membrane.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 18:49:58 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 15:52:20 GMT" }, { "version": "v3", "created": "Fri, 21 Dec 2007 19:54:41 GMT" } ]
2015-05-13T00:00:00
[ [ "Tupper", "P. F.", "" ], [ "Grant", "Martin", "" ] ]
0707.1040
Andrew Norris
Andrew N. Norris
Diffuse wave density and directionality in anisotropic solids
11 pages, 2 figures
Journal of the Acoustical Society of America, 123, 3, 1399-1408 (2008)
10.1121/1.2836755
null
cond-mat.mtrl-sci
null
Several general results are derived for diffuse waves in anisotropic solids, including concise expressions for the modal density per unit volume and for the participation factor matrix G. The latter is a second order tensor which describes the orientational distribution of diffuse wave or reverberant energy, and reduces to the identity I under isotropy. Calculations of G for a variety of example materials show significant deviation from I even under moderate levels of anisotropy.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 20:31:59 GMT" }, { "version": "v2", "created": "Sun, 4 Nov 2007 00:46:41 GMT" } ]
2008-04-15T00:00:00
[ [ "Norris", "Andrew N.", "" ] ]
0707.1041
Mario Garavaglia
Leopoldo Garavaglia and Mario Garavaglia
On the location and classification of all prime numbers
15 pages, 8 tables, no figures
null
null
null
math.GM
null
We will describe an algorithm to arrange all the positive and negative integer numbers. This array of numbers permits grouping them in six different Classes, $\alpha$, $\beta$, $\gamma$, $\delta$, $\epsilon$, and $\zeta$. Particularly, numbers belong to Class $\alpha$ are defined as $\alpha=1+6 n$, and those of Class $\beta$, as $\beta=5+6n$, where $n=0,\pm1,\pm2,\pm3,\pm4,...$ These two Classes $\alpha$ and $\beta$,contain: i) all prime numbers, except + 2, -2 and $\pm$3, which belong to $\epsilon$, $\delta$, and $\gamma$ Classes, respectively, and ii) all the other odd numbers, except those that are multiple of $\pm$3, according to the sequence $\pm$9, $\pm$15, $\pm$21, $\pm$27, ... Besides, products between numbers of the Class $\alpha$, and also those between numbers of the Class $\beta$, generates numbers belonging to the Class $\alpha$. On the other side, products between numbers of Class $\alpha$ with numbers of Class $\beta$, result in numbers of Class $\beta$. Then, both Classes $\alpha$ and $\beta$ include: i) all the prime numbers except $\pm$2 and $\pm$3, and ii) all the products between $\alpha$ numbers, as $\alpha\cdot\alpha^{\prime}$; all the products between $\beta$ numbers, as $\beta\cdot\beta^{\prime}$; and also all the products between numbers of Classes $\alpha$ and $\beta$, as $\alpha\cdot\beta$, which necessarily are composite numbers, whose factorization is completely determined.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 20:33:03 GMT" } ]
2007-07-10T00:00:00
[ [ "Garavaglia", "Leopoldo", "" ], [ "Garavaglia", "Mario", "" ] ]
0707.1042
Arti Chamoli
Arti Chamoli and C. M. Bhandari
Grover's algorithm based multi-qubit secret sharing scheme
14 pages, 2 figures, 2 tables
null
null
null
quant-ph
null
Some of the secret sharing schemes having unique quantum features like parallelism and entanglement are supposed to be relatively secure. Different schemes proposed by various researchers over the years have features which could be specific to the nature and need of a situation. Following Hsu's proposed scheme we propose a secret sharing scheme using Grover's search algorithm for a four qubit system with several marked states. Further, the scheme has been generalised to an n-qubit syatem.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 20:54:15 GMT" } ]
2007-07-10T00:00:00
[ [ "Chamoli", "Arti", "" ], [ "Bhandari", "C. M.", "" ] ]
0707.1043
Ada Rubin
The BABAR Collaboration: B. Aubert, et al
Observation of tree-level B decays with $s\bar{s}$ Production from Gluon Radiation
7 pages, 9 postscript figures, submitted to PRL
Phys.Rev.Lett.100:171803,2008
10.1103/PhysRevLett.100.171803
null
hep-ex
null
We report on our search for $B^- \to D^{(*)+}_s K^- \pi^-$, $\bar{B^0} \to D_s^{(*)+} K_S^0 \pi^-$, and $B^- \to D^{(*)+}_s K^- K^-$ decays in 383 million $\FourS \to B \Bbar$ events collected by the Babar detector at the PEP2 asymmetric-energy $B$-factory. The decays proceed via a tree-level $b\to c$ quark transition in which a gluon radiates into an $s\bar{s}$ pair. Their branching fractions are measured to be ${\cal B}(B^- \to D^+_s K^- \pi^-) = (2.02 \pm 0.13_{stat} \pm 0.38_{syst}) \times 10^{-4},$ ${\cal B}(B^- \to D^{*+}_s K^- \pi^-)= (1.67 \pm 0.16_{stat} \pm 0.35_{syst}) \times 10^{-4},$ ${\cal B}(\bar{B^0} \to D_s^{+} K_S^0 \pi^-)= (0.55 \pm 0.13_{stat} \pm 0.10_{syst}) \times 10^{-4},$ and ${\cal B}(B^- \to D_s^{+} K^- K^-) = (0.11 \pm 0.04_{stat} \pm 0.02_{syst}) \times 10^{-4}$. Upper limits at the 90% C.L. are set on ${\cal B}(\bar{B^0} \to D_s^{*+} K_S^0 \pi^-)< 0.55 \times 10^{-4}$ and ${\cal B}(B^- \to D_s^{*+} K^- K^-) < 0.15 \times 10^{-4}$. We present evidence that the invariant mass distributions of $D^{(*)+}_s K^-$ pairs from $B^- \to D^{(*)+}_s K^- \pi^-$ decays are inconsistent with the phase-space model, suggesting the presence of charm resonances lying below the $D^{(*)+}_s K^-$ threshold.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 20:37:20 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 19:24:13 GMT" }, { "version": "v3", "created": "Fri, 15 Feb 2008 23:44:09 GMT" } ]
2010-04-12T00:00:00
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]
0707.1044
Kevin France
Kevin France (1), Aki Roberge (2), Roxana E. Lupu (3), Seth Redfield (4), and Paul D. Feldman (3) (1-CITA/U Toronto, 2-NASA GSFC, 3-JHU, 4-U Texas-Austin)
A Low-Mass H2 Component to the AU Microscopii Circumstellar Disk
ApJ, accepted. 9 pages, 4 figures, emulateapj
null
10.1086/521348
null
astro-ph
null
We present a determination of the molecular gas mass in the AU Microscopii circumstellar disk. Direct detection of a gas component to the AU Mic disk has proven elusive, with upper limits derived from ultraviolet absorption line and submillimeter CO emission studies. Fluorescent emission lines of H2, pumped by the OVI 1032 resonance line through the C-X (1 -- 1) Q(3) 1031.87 \AA\ transition, are detected by the Far Ultraviolet Spectroscopic Explorer. These lines are used to derive the H2 column density associated with the AU Mic system. The derived column density is in the range N(H2) = 1.9 x 10^{17} - 2.8 x 10^{15} cm^{-2}, roughly two orders of magnitude lower than the upper limit inferred from absorption line studies. This range of column densities reflects the range of H2 excitation temperature consistent with the observations, T(H2) = 800 -- 2000 K, derived from the presence of emission lines excited by OVI in the absence of those excited by LyA. Within the observational uncertainties, the data are consistent with the H2 gas residing in the disk. The inferred N(H2) range corresponds to H2-to-dust ratios of < 1/30:1 and a total M(H2) = 4.0 x 10^{-4} - 5.8 x 10^{-6} Earth masses. We use these results to predict the intensity of the associated rovibrational emission lines of H2 at infrared wavelengths covered by ground-based instruments, HST-NICMOS, and the Spitzer-IRS.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 20:42:09 GMT" } ]
2009-11-13T00:00:00
[ [ "France", "Kevin", "" ], [ "Roberge", "Aki", "" ], [ "Lupu", "Roxana E.", "" ], [ "Redfield", "Seth", "" ], [ "Feldman", "Paul D.", "" ] ]
0707.1045
Nacho Pascual
I. Fernandez-Torrente, S. Monturet, K.J. Franke, J. Fraxedas, N. Lorente, and J.I. Pascual
Long-range repulsive interaction between TTF molecules on a metal surface induced by charge transfer
null
Phys. Rev. Lett. 99, 176103 (2007)
10.1103/PhysRevLett.99.176103
null
cond-mat.mtrl-sci
null
The low-coverage adsorption of a molecular electron donor, tetrathiafulvalene, on Au(111) is characterized by the spontaneous formation of superlattice of monomers, whose spacing exceeds the equilibrium distance of non-covalent interactions and depends on coverage. The origin of this peculiar growth mode is due to a long-range repulsive interaction between molecules. The analysis of molecular-pair distributions obtained by scanning tunneling microscopy measurements permits us to determine that the nature of TTF intermolecular interactions on Au (111) is electrostatic. A repulsion between molecules is caused by the accumulation of charge due to electron donation into the metal surface, as pictured through density functional theory calculations.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:08:25 GMT" } ]
2008-02-11T00:00:00
[ [ "Fernandez-Torrente", "I.", "" ], [ "Monturet", "S.", "" ], [ "Franke", "K. J.", "" ], [ "Fraxedas", "J.", "" ], [ "Lorente", "N.", "" ], [ "Pascual", "J. I.", "" ] ]
0707.1046
Elizabeth McGrath
Elizabeth J. McGrath, Alan Stockton, and Gabriela Canalizo
Stellar Populations of Luminous Evolved Galaxies at z~1.5
10 pages, 3 figures (2 in color), accepted for publication in ApJ
Astrophys.J.669:241-250,2007
10.1086/521433
null
astro-ph
null
Observational evidence has been mounting over the past decade that at least some luminous (~2 L*) galaxies have formed nearly all of their stars within a short period of time only 1-2x10^9 years after the Big Bang. These are examples of the first major episodes of star formation in the Universe and provide insights into the formation of the earliest massive galaxies. We have examined in detail the stellar populations of six z~1.5 galaxies that appear to be passively evolving, using both ground and space-based photometry covering rest-frame UV to visible wavelengths. In addition, we have obtained medium-resolution spectroscopy for five of the six galaxies, covering the rest-frame UV portion of the spectrum. Spectral synthesis modeling for four of these galaxies favors a single burst of star formation more than 1 Gyr before the observed epoch. The other two exhibit slightly younger ages with a higher dust content and evidence for a small contribution from either recent star formation or active nuclei. The implied formation redshifts for the oldest of these sources are consistent with previous studies of passive galaxies at high redshift, and improved stellar modeling has shown these results to be quite robust. It now seems clear that any valid galaxy formation scenario must be able to account for these massive (2x10^11 M_sun) galaxies at very early times in the Universe.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:02:27 GMT" } ]
2010-11-11T00:00:00
[ [ "McGrath", "Elizabeth J.", "" ], [ "Stockton", "Alan", "" ], [ "Canalizo", "Gabriela", "" ] ]
0707.1047
James Stotz
J. A. H. Stotz, P. V. Santos, R. Hey, K. H. Ploog
Mesoscopic spin confinement during acoustically induced transport
10 pages, 2 figures
null
10.1038/nmat1430
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
Long coherence lifetimes of electron spins transported using moving potential dots are shown to result from the mesoscopic confinement of the spin vector. The confinement dimensions required for spin control are governed by the characteristic spin-orbit length of the electron spins, which must be larger than the dimensions of the dot potential. We show that the coherence lifetime of the electron spins is independent of the local carrier densities within each potential dot and that the precession frequency, which is determined by the Dresselhaus contribution to the spin-orbit coupling, can be modified by varying the sample dimensions resulting in predictable changes in the spin-orbit length and, consequently, in the spin coherence lifetime.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:04:35 GMT" } ]
2019-10-29T00:00:00
[ [ "Stotz", "J. A. H.", "" ], [ "Santos", "P. V.", "" ], [ "Hey", "R.", "" ], [ "Ploog", "K. H.", "" ] ]
0707.1048
Serge Tabachnikov
Dmitry Fuchs, Serge Tabachnikov
Self-dual polygons and self-dual curves
null
null
null
null
math.DG
null
We study projectively self-dual polygons and curves in the projective plane. Our results provide a partial answer to problem No 1994-17 in the book of Arnold's problems.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:06:24 GMT" } ]
2007-07-10T00:00:00
[ [ "Fuchs", "Dmitry", "" ], [ "Tabachnikov", "Serge", "" ] ]
0707.1049
Lucian Covaci
Lucian Covaci and Mona Berciu
Holstein polaron: the effect of multiple phonon modes
null
Europhysics Lett. 80, 67001 (2007)
10.1209/0295-5075/80/67001
null
cond-mat.supr-con cond-mat.str-el
null
We generalize the Momentum Average approximations MA$^{(0)}$ and MA$^{(1)}$ to study the effects of coupling to multiple optical phonons on the properties of a Holstein polaron. As for a single phonon mode, these approximations are numerically very efficient. They become exact for very weak or very strong couplings, and are highly accurate in the intermediate regimes, {\em e.g.} the spectral weights obey exactly the first six, respectively eight, sum rules. Our results show that the effect on ground-state properties is cumulative in nature. In particular, if the effective coupling to one mode is much larger than to the others, this mode effectively determines the GS properties. However, even very weak coupling to a second phonon mode has important non-perturbational effects on the higher energy spectrum, in particular on the dispersion and the phonon statistics of the polaron band.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:14:41 GMT" } ]
2008-11-06T00:00:00
[ [ "Covaci", "Lucian", "" ], [ "Berciu", "Mona", "" ] ]
0707.1050
Elizabeth McGrath
Elizabeth J. McGrath, Alan Stockton, Gabriela Canalizo, Masanori Iye, Toshinori Maihara
Morphologies and Color Gradients of Luminous Evolved Galaxies at z~1.5
16 pages, 9 figures (8 in color), accepted for publication in ApJ
Astrophys.J.682:303-318,2008
10.1086/589631
null
astro-ph
null
We have examined in detail the morphologies of seven z~1.5 passively evolving luminous red galaxies using high resolution HST NICMOS and ACS imaging data. Almost all of these galaxies appear to be relaxed systems, with smooth morphologies at both rest-frame UV and visible wavelengths. Previous results from spectral synthesis modeling favor a single burst of star formation more than 1 Gyr before the observed epoch. The prevalence of old stellar populations, however, does not correlate exclusively with early-type morphologies as it does in the local universe; the light profiles for some of these galaxies appear to be dominated by massive exponential disks. This evidence for massive old disks, along with the apparent uniformity of stellar age across the disk, suggests formation by a mechanism better described as a form of monolithic collapse than as a hierarchical merger. These galaxies could not have undergone a single major merging event since the bulk of their stars were formed, more than 1 Gyr earlier. There is at least one case, however, that appears to be undergoing a "dry merger", which may be an example of the process that converts these unusual galaxies into the familiar spheroids that dominate galaxies comprising old stellar populations at the present epoch.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:12:59 GMT" }, { "version": "v2", "created": "Wed, 23 Apr 2008 23:31:30 GMT" } ]
2008-11-07T00:00:00
[ [ "McGrath", "Elizabeth J.", "" ], [ "Stockton", "Alan", "" ], [ "Canalizo", "Gabriela", "" ], [ "Iye", "Masanori", "" ], [ "Maihara", "Toshinori", "" ] ]
0707.1051
Mark Braverman
Mark Braverman, Elchanan Mossel
Noisy Sorting Without Resampling
null
null
null
null
cs.DS
null
In this paper we study noisy sorting without re-sampling. In this problem there is an unknown order $a_{\pi(1)} < ... < a_{\pi(n)}$ where $\pi$ is a permutation on $n$ elements. The input is the status of $n \choose 2$ queries of the form $q(a_i,x_j)$, where $q(a_i,a_j) = +$ with probability at least $1/2+\ga$ if $\pi(i) > \pi(j)$ for all pairs $i \neq j$, where $\ga > 0$ is a constant and $q(a_i,a_j) = -q(a_j,a_i)$ for all $i$ and $j$. It is assumed that the errors are independent. Given the status of the queries the goal is to find the maximum likelihood order. In other words, the goal is find a permutation $\sigma$ that minimizes the number of pairs $\sigma(i) > \sigma(j)$ where $q(\sigma(i),\sigma(j)) = -$. The problem so defined is the feedback arc set problem on distributions of inputs, each of which is a tournament obtained as a noisy perturbations of a linear order. Note that when $\ga < 1/2$ and $n$ is large, it is impossible to recover the original order $\pi$. It is known that the weighted feedback are set problem on tournaments is NP-hard in general. Here we present an algorithm of running time $n^{O(\gamma^{-4})}$ and sampling complexity $O_{\gamma}(n \log n)$ that with high probability solves the noisy sorting without re-sampling problem. We also show that if $a_{\sigma(1)},a_{\sigma(2)},...,a_{\sigma(n)}$ is an optimal solution of the problem then it is ``close'' to the original order. More formally, with high probability it holds that $\sum_i |\sigma(i) - \pi(i)| = \Theta(n)$ and $\max_i |\sigma(i) - \pi(i)| = \Theta(\log n)$. Our results are of interest in applications to ranking, such as ranking in sports, or ranking of search items based on comparisons by experts.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 21:30:24 GMT" } ]
2007-07-10T00:00:00
[ [ "Braverman", "Mark", "" ], [ "Mossel", "Elchanan", "" ] ]
0707.1052
Bruce E. Sagan
Bruce E. Sagan (Michigan State U.)
Compositions inside a rectangle and unimodality
9 pages, 1 figure, see related papers at http://www.math.msu.edu/~sagan
null
null
null
math.CO
null
Let c^{k,l}(n) be the number of compositions (ordered partitions) of the integer n whose Ferrers diagram fits inside a k-by-l rectangle. The purpose of this note is to give a simple, algebraic proof of a conjecture of Vatter that the sequence c^{k,l}(0), c^{k,l}(1), ..., c^{k,l}(kl) is unimodal. The problem of giving a combinatorial proof of this fact is discussed, but is still open.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 22:07:31 GMT" } ]
2007-07-10T00:00:00
[ [ "Sagan", "Bruce E.", "", "Michigan State U." ] ]
0707.1053
Sudhir Kumar Singh
Sudhir Kumar Singh, Vwani P. Roychowdhury, Milan Bradonji\'c, Behnam A. Rezaei
Exploration via design and the cost of uncertainty in keyword auctions
19 pages, presentation improved, references added, title changed
null
null
null
cs.GT
null
We present a deterministic exploration mechanism for sponsored search auctions, which enables the auctioneer to learn the relevance scores of advertisers, and allows advertisers to estimate the true value of clicks generated at the auction site. This exploratory mechanism deviates only minimally from the mechanism being currently used by Google and Yahoo! in the sense that it retains the same pricing rule, similar ranking scheme, as well as, similar mathematical structure of payoffs. In particular, the estimations of the relevance scores and true-values are achieved by providing a chance to lower ranked advertisers to obtain better slots. This allows the search engine to potentially test a new pool of advertisers, and correspondingly, enables new advertisers to estimate the value of clicks/leads generated via the auction. Both these quantities are unknown a priori, and their knowledge is necessary for the auction to operate efficiently. We show that such an exploration policy can be incorporated without any significant loss in revenue for the auctioneer. We compare the revenue of the new mechanism to that of the standard mechanism at their corresponding symmetric Nash equilibria and compute the cost of uncertainty, which is defined as the relative loss in expected revenue per impression. We also bound the loss in efficiency, as well as, in user experience due to exploration, under the same solution concept (i.e. SNE). Thus the proposed exploration mechanism learns the relevance scores while incorporating the incentive constraints from the advertisers who are selfish and are trying to maximize their own profits, and therefore, the exploration is essentially achieved via mechanism design. We also discuss variations of the new mechanism such as truthful implementations.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 22:11:17 GMT" }, { "version": "v2", "created": "Fri, 2 Nov 2007 07:02:26 GMT" } ]
2011-11-10T00:00:00
[ [ "Singh", "Sudhir Kumar", "" ], [ "Roychowdhury", "Vwani P.", "" ], [ "Bradonjić", "Milan", "" ], [ "Rezaei", "Behnam A.", "" ] ]
0707.1054
David Hilton
D. J. Hilton (1), R. P. Prasankumar (1), S. Fourmaux (2), A. Cavalleri (3), D. Brassard (2), M. A. El Khakani (2), J. C. Kieffer (2), A. J. Taylor (1), and R. D. Averitt (1) ((1) Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, NM (2) Universit\'e du Qu\'ebec, INRS-\'Energie et Mat\'eriaux et T\'el\'ecommunications, Varennes, Qu\'ebec, Canada (3) Department of Physics, University of Oxford, Oxford, United Kingdom)
Softening of the insulating phase near Tc for the photo-induced insulator-to-metal phase transition in vanadium dioxide
accepted for publication in Physical Review Letters
null
10.1103/PhysRevLett.100.019906
null
cond-mat.str-el cond-mat.mtrl-sci
null
We use optical-pump terahertz-probe spectroscopy to investigate the near-threshold behavior of the photoinduced insulator-to-metal (IM) transition in vanadium dioxide thin films. Upon approaching Tc a reduction in the fluence required to drive the IM transition is observed, consistent with a softening of the insulating state due to an increasing metallic volume fraction (below the percolation limit). This phase coexistence facilitates the growth of a homogeneous metallic conducting phase following superheating via photoexcitation. A simple dynamic model using Bruggeman effective medium theory describes the observed initial condition sensitivity.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 22:21:07 GMT" }, { "version": "v2", "created": "Wed, 17 Oct 2007 00:38:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Hilton", "D. J.", "" ], [ "Prasankumar", "R. P.", "" ], [ "Fourmaux", "S.", "" ], [ "Cavalleri", "A.", "" ], [ "Brassard", "D.", "" ], [ "Khakani", "M. A. El", "" ], [ "Kieffer", "J. C.", "" ], [ "Taylor", "A. J.", "" ], [ "Averitt", "R. D.", "" ] ]
0707.1055
Konstantin Goulianos
Konstantin Goulianos
Diffractive and Total Cross Sections at Tevatron and LHC
Presented at Hadron Collider Physics Symposium 2006, May 22-26, Duke University, Durham NC, USA (5 pages, 4 figures)
null
null
null
hep-ex
null
Results from the Fermilab Tevatron pbar-p collider on diffractive and total cross sections are reviewed with emphasis on physics significance and properties pointing to expectations at the LHC.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 15:51:36 GMT" } ]
2007-07-10T00:00:00
[ [ "Goulianos", "Konstantin", "" ] ]
0707.1056
Fabrizio Canfora
Fabrizio Canfora, Alex Giacomini, Ricardo Troncoso
Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
11 pages, no figures, notation clarified; version accepted for publication in Physical Review D
Phys.Rev.D77:024002,2008
10.1103/PhysRevD.77.024002
CECS-PHY-07/14
hep-th gr-qc
null
Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial base manifold endowed with a fully antisymmetric torsion. It is shown requiring solutions of this sort to exist, fixes the Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons form. The metric describes black holes with an arbitrary, but fixed, base manifold. It is shown that requiring its ground state to possess unbroken supersymmetries, fixes the base manifold to be locally a parallelized three-sphere. The ground state turns out to be half-BPS, which could not be achieved in the absence of torsion in vacuum. The Killing spinors are explicitly found.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 22:38:23 GMT" }, { "version": "v2", "created": "Thu, 19 Jul 2007 02:30:56 GMT" }, { "version": "v3", "created": "Fri, 16 Nov 2007 16:55:56 GMT" } ]
2008-11-26T00:00:00
[ [ "Canfora", "Fabrizio", "" ], [ "Giacomini", "Alex", "" ], [ "Troncoso", "Ricardo", "" ] ]
0707.1057
Sudhir Kumar Singh
Sudhir Kumar Singh, Vwani P. Roychowdhury, Himawan Gunadhi, Behnam A. Rezaei
For-profit mediators in sponsored search advertising
6 pages
null
null
null
cs.GT
null
A mediator is a well-known construct in game theory, and is an entity that plays on behalf of some of the agents who choose to use its services, while the rest of the agents participate in the game directly. We initiate a game theoretic study of sponsored search auctions, such as those used by Google and Yahoo!, involving {\em incentive driven} mediators. We refer to such mediators as {\em for-profit} mediators, so as to distinguish them from mediators introduced in prior work, who have no monetary incentives, and are driven by the altruistic goal of implementing certain desired outcomes. We show that in our model, (i) players/advertisers can improve their payoffs by choosing to use the services of the mediator, compared to directly participating in the auction; (ii) the mediator can obtain monetary benefit by managing the advertising burden of its group of advertisers; and (iii) the payoffs of the mediator and the advertisers it plays for are compatible with the incentive constraints from the advertisers who do dot use its services. A simple intuition behind the above result comes from the observation that the mediator has more information about and more control over the bid profile than any individual advertiser, allowing her to reduce the payments made to the auctioneer, while still maintaining incentive constraints. Further, our results indicate that there are significant opportunities for diversification in the internet economy and we should expect it to continue to develop richer structure, with room for different types of agents to coexist.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 03:18:26 GMT" }, { "version": "v2", "created": "Mon, 3 Sep 2007 12:19:30 GMT" } ]
2007-09-03T00:00:00
[ [ "Singh", "Sudhir Kumar", "" ], [ "Roychowdhury", "Vwani P.", "" ], [ "Gunadhi", "Himawan", "" ], [ "Rezaei", "Behnam A.", "" ] ]
0707.1058
Daniel Allcock
Daniel Allcock, James A. Carlson and Domingo Toledo
Hyperbolic geometry and moduli of real cubic surfaces
Major revision, including several new or completely rewritten sections. 56 pages
null
null
null
math.AG math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let M_0^R be the moduli space of smooth real cubic surfaces. We show that each of its components admits a real hyperbolic structure. More precisely, one can remove some lower-dimensional geodesic subspaces from a real hyperbolic space H^4 and form the quotient by an arithmetic group to obtain an orbifold isomorphic to a component of the moduli space. There are five components. For each we describe the corresponding lattices in PO(4,1). We also derive several new and several old results on the topology of M_0^R. Let M_s^R be the moduli space of real cubic surfaces that are stable in the sense of geometric invariant theory. We show that this space carries a hyperbolic structure whose restriction to M_0^R is that just mentioned. The corresponding lattice in PO(4,1), for which we find an explicit fundamental domain, is nonarithmetic.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 22:52:24 GMT" }, { "version": "v2", "created": "Mon, 11 May 2009 18:20:13 GMT" } ]
2009-05-11T00:00:00
[ [ "Allcock", "Daniel", "" ], [ "Carlson", "James A.", "" ], [ "Toledo", "Domingo", "" ] ]
0707.1059
Alban Ponse
Jan A. Bergstra and Alban Ponse
Projection semantics for rigid loops
20 pages
null
null
PRG0604
cs.PL
null
A rigid loop is a for-loop with a counter not accessible to the loop body or any other part of a program. Special instructions for rigid loops are introduced on top of the syntax of the program algebra PGA. Two different semantic projections are provided and proven equivalent. One of these is taken to have definitional status on the basis of two criteria: `normative semantic adequacy' and `indicative algorithmic adequacy'.
[ { "version": "v1", "created": "Fri, 6 Jul 2007 23:58:45 GMT" } ]
2007-07-10T00:00:00
[ [ "Bergstra", "Jan A.", "" ], [ "Ponse", "Alban", "" ] ]
0707.1060
Valerie Coffman
Valerie R. Coffman, James P. Sethna
Grain boundary energies and cohesive strength as a function of geometry
12 pages, 19 figures, changed title
null
10.1103/PhysRevB.77.144111
null
cond-mat.mtrl-sci
null
Cohesive laws are stress-strain curves used in finite element calculations to describe the debonding of interfaces such as grain boundaries. It would be convenient to describe grain boundary cohesive laws as a function of the parameters needed to describe the grain boundary geometry; two parameters in 2D and 5 parameters in 3D. However, we find that the cohesive law is not a smooth function of these parameters. In fact, it is discontinuous at geometries for which the two grains have repeat distances that are rational with respect to one another. Using atomistic simulations, we extract grain boundary energies and cohesive laws of grain boundary fracture in 2D with a Lennard-Jones potential for all possible geometries which can be simulated within periodic boundary conditions with a maximum box size. We introduce a model where grain boundaries are represented as high symmetry boundaries decorated by extra dislocations. Using it, we develop a functional form for the symmetric grain boundary energies, which have cusps at all high symmetry angles. We also find the asymptotic form of the fracture toughness near the discontinuities at high symmetry grain boundaries using our dislocation decoration model.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 00:52:14 GMT" }, { "version": "v2", "created": "Thu, 6 Mar 2008 21:59:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Coffman", "Valerie R.", "" ], [ "Sethna", "James P.", "" ] ]
0707.1061
Jirina Stone
J.R.Stone, G.Goldring, N.J.Stone, N.Severijns, M.Hass, D.Zakoucky, T.Giles, U.K\"oster, I.S.Kraev, S.Lakshmi, M.Lindroos, F.Wauters
Confirmation of Parity Violation in the Gamma Decay of $^{180}Hf^{m}$
28 pages, 9 figures, accepted for publication in Physical Review C
Phys.Rev.C76:025502,2007
10.1103/PhysRevC.76.025502
null
nucl-ex
null
This paper reports measurements using the technique of On Line Nuclear Orientation (OLNO) which reexamine the gamma decay of isomeric $^{\rm 180}$Hf$^{\rm m}$ and specifically the 501 keV 8$^{\rm -}$ -- 6$^{\rm +}$ transition. The irregular admixture of E2 to M2/E3 multipolarity in this transition, deduced from the forward-backward asymmetry of its angular distribution, has for decades stood as the prime evidence for parity mixing in nuclear states. The experiment, based on ion implantation of the newly developed mass-separated $^{\rm 180}$Hf$^{\rm m}$ beam at ISOLDE, CERN into an iron foil maintained at millikelvin temperatures, produces higher degrees of polarization than were achieved in previous studies of this system. The value found for the E2/M2 mixing ratio, $\epsilon$ = -0.0324(16)(17), is in close agreement with the previous published average value $\epsilon$ = - 0.030(2), in full confirmation of the presence of the irregular E2 admixture in the 501 keV transition. The temperature dependence of the forward-backward asymmetry has been measured over a more extended range of nuclear polarization than previously possible, giving further evidence for parity mixing of the 8$^{\rm -}$ and 8$^{\rm +}$ levels and the deduced E2/M2 mixing ratio.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 01:10:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Stone", "J. R.", "" ], [ "Goldring", "G.", "" ], [ "Stone", "N. J.", "" ], [ "Severijns", "N.", "" ], [ "Hass", "M.", "" ], [ "Zakoucky", "D.", "" ], [ "Giles", "T.", "" ], [ "Köster", "U.", "" ], [ "Kraev", "I. S.", "" ], [ "Lakshmi", "S.", "" ], [ "Lindroos", "M.", "" ], [ "Wauters", "F.", "" ] ]
0707.1062
Janna Levin
Brian R. Greene and Janna Levin
Dark Energy and Stabilization of Extra Dimensions
Comments added, typo corrected, version to be published in JHEP
JHEP 0711:096,2007
10.1088/1126-6708/2007/11/096
null
hep-th astro-ph gr-qc
null
We discuss the role Casimir energies may play in addressing issues of moduli stabilization and dark energy. In particular, we examine a (non-supersymmetric) brane world scenario with toroidal extra dimensions in which Casimir energies of bulk fields generate a stabilizing potential for the toroidal volume while driving accelerated expansion in the non-compact directions. We speculate that such a scenario might establish a link between asymmetric topology and asymmetric geometry; that is, asymmetric topology could be linked to the hierarchy between large and small dimensions.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 01:34:16 GMT" }, { "version": "v2", "created": "Mon, 3 Dec 2007 17:47:08 GMT" } ]
2009-11-18T00:00:00
[ [ "Greene", "Brian R.", "" ], [ "Levin", "Janna", "" ] ]
0707.1063
Animesh Kumar
Animesh Kumar, Prakash Ishwar, and Kannan Ramchandran
High-resolution distributed sampling of bandlimited fields with low-precision sensors
17 pages, 6 figures; paper withdrawn from IEEE Transactions on Signal Processing and re-submitted to the IEEE Transactions on Information Theory
null
10.1109/TIT.2010.2090194
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The problem of sampling a discrete-time sequence of spatially bandlimited fields with a bounded dynamic range, in a distributed, communication-constrained, processing environment is addressed. A central unit, having access to the data gathered by a dense network of fixed-precision sensors, operating under stringent inter-node communication constraints, is required to reconstruct the field snapshots to maximum accuracy. Both deterministic and stochastic field models are considered. For stochastic fields, results are established in the almost-sure sense. The feasibility of having a flexible tradeoff between the oversampling rate (sensor density) and the analog-to-digital converter (ADC) precision, while achieving an exponential accuracy in the number of bits per Nyquist-interval per snapshot is demonstrated. This exposes an underlying ``conservation of bits'' principle: the bit-budget per Nyquist-interval per snapshot (the rate) can be distributed along the amplitude axis (sensor-precision) and space (sensor density) in an almost arbitrary discrete-valued manner, while retaining the same (exponential) distortion-rate characteristics. Achievable information scaling laws for field reconstruction over a bounded region are also derived: With N one-bit sensors per Nyquist-interval, $\Theta(\log N)$ Nyquist-intervals, and total network bitrate $R_{net} = \Theta((\log N)^2)$ (per-sensor bitrate $\Theta((\log N)/N)$), the maximum pointwise distortion goes to zero as $D = O((\log N)^2/N)$ or $D = O(R_{net} 2^{-\beta \sqrt{R_{net}}})$. This is shown to be possible with only nearest-neighbor communication, distributed coding, and appropriate interpolation algorithms. For a fixed, nonzero target distortion, the number of fixed-precision sensors and the network rate needed is always finite.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 16:17:20 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 17:36:43 GMT" }, { "version": "v3", "created": "Sat, 25 Aug 2007 20:40:03 GMT" }, { "version": "v4", "created": "Thu, 11 Dec 2008 01:59:46 GMT" } ]
2016-11-18T00:00:00
[ [ "Kumar", "Animesh", "" ], [ "Ishwar", "Prakash", "" ], [ "Ramchandran", "Kannan", "" ] ]
0707.1064
Krishna Srikanth Gomadam
Krishna S. Gomadam and Syed A. Jafar
The Effect of Noise Correlation in AF Relay Networks
32 pages
null
null
null
cs.IT math.IT
null
In wireless relay networks, noise at the relays can be correlated possibly due to common interference or noise propagation from preceding hops. In this work we consider a parallel relay network with noise correlation. For the relay strategy of amplify-and-forward (AF), we determine the optimal rate maximizing relay gains when correlation knowledge is available at the relays. The effect of correlation on the performance of the relay networks is analyzed for the cases where full knowledge of correlation is available at the relays and when there is no knowledge about the correlation structure. Interestingly we find that, on the average, noise correlation is beneficial regardless of whether the relays know the noise covariance matrix or not. However, the knowledge of correlation can greatly improve the performance. Typically, the performance improvement from correlation knowledge increases with the relay power and the number of relays. With perfect correlation knowledge the system is capable of canceling interference if the number of interferers is less than the number of relays. For a dual-hop multiple access parallel network, we obtain closed form expressions for the maximum sum-rate and the optimal relay strategy. The relay optimization for networks with three hops is also considered. For any relay gains for the first stage relays, this represents a parallel relay network with correlated noise. Based on the result of two hop networks with noise correlation, we propose an algorithm for solving the relay optimization problem for three-hop networks.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 18:43:22 GMT" } ]
2007-07-13T00:00:00
[ [ "Gomadam", "Krishna S.", "" ], [ "Jafar", "Syed A.", "" ] ]
0707.1065
Vladimir Dzhunushaliev
Vladimir Dzhunushaliev
Connection between some nonperturbative approaches in QCD
9 pages, 5 fig's
null
null
null
hep-ph
null
The connection between two nonperturbative approaches in quantum chromodynamics is considered. The first one is based on a collective coordinate method, the second one on a spin-charge separation. It is shown that both approaches have some close connection: the existence of two condensates which are necessary to confinement.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 03:55:09 GMT" } ]
2007-07-10T00:00:00
[ [ "Dzhunushaliev", "Vladimir", "" ] ]
0707.1066
Max Chaves
Max Chaves
The quantization of gravity and the vacuum energy of quantum fields
18 pages & no figures
null
null
null
gr-qc hep-th
null
We construct a unified covariant derivative that contains the sum of an affine connection and a Yang-Mills field. With it we construct a lagrangian that is invariant both under diffeomorphisms and Yang-Mills gauge transformations. We assume that metric and symmetric affine connection are independent quantities, and make the observation that the metric must be able to generate curvature, just as the connection, so there should be an extra tensor similar to Riemann's in the equations but constructed from metrics and not connections. We find the equations generated by the lagrangian and introduce the huge natural scale due to the vacuum energy of quantum fields. This scale allows for a perturbative solution of the equations of motion. We prove the system has a vacuum state that forces the metricity of the metric and results in General Relativity for low energies. The vacuum energy of the quantum fields cancels, becoming unobservable. At very high energies, the metric does not appear differentiated in the lagrangian and so it is not a quantum field, just a background classical field. The true quantum fields are the connections. The theory becomes very similar to a Yang-Mills, with affine connections taking the place of Yang-Mills vector fields. It should be renormalizable since it has a coupling constant with no units and correct propagators after fixing the gauge (diffeomorphisms). The weakness of gravity turns out to be due to the large vacuum energy of the quantum fields.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 14:35:27 GMT" } ]
2007-07-10T00:00:00
[ [ "Chaves", "Max", "" ] ]
0707.1067
Chin-Sheng Wu
Chin-Sheng Wu
Commutation Relations for Double Tensors of Two Equivalent D Electrons
null
null
null
null
math-ph math.MP
null
We apply the Clebsch-Gordan and Racah coefficients to calculate the double tensors for two equivalent d electrons. We also obtain the commutation relations for these double tensors and choose certain quantum numbers, which produce a subgroup. From the root vectors of the commutation relations, we identify them with Lie algebra B2. Once we have the correct Lie algebra, it is feasible to use the Wigner-Eckart theorem to find matrix elements for transition states among atomic spectra or nuclear shell models.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 04:18:51 GMT" } ]
2007-07-10T00:00:00
[ [ "Wu", "Chin-Sheng", "" ] ]
0707.1068
Kai Cieliebak
F. Bourgeois, K. Cieliebak, T. Ekholm
A note on Reeb dynamics on the tight 3-sphere
20 pages, no figures
null
null
null
math.SG math.DS
null
We show that a nondegenerate tight contact form on the 3-sphere has exactly two simple closed Reeb orbits if and only if the differential in linearized contact homology vanishes. Moreover, in this case the Floquet multipliers and Conley-Zehnder indices of the two Reeb orbits agree with those of a suitable irrational ellipsoid in 4-space.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 04:32:41 GMT" } ]
2007-07-10T00:00:00
[ [ "Bourgeois", "F.", "" ], [ "Cieliebak", "K.", "" ], [ "Ekholm", "T.", "" ] ]
0707.1069
Landon Rabern
Landon Rabern
Coloring and The Lonely Graph
null
null
null
null
math.CO
null
We improve upper bounds on the chromatic number proven independently in \cite{reedNote} and \cite{ingo}. Our main lemma gives a sufficient condition for two paths in graph to be completely joined. Using this, we prove that if a graph has an optimal coloring with more than $\frac{\omega}{2}$ singleton color classes, then it satisfies $\chi \leq \frac{\omega + \Delta + 1}{2}$. It follows that a graph satisfying $n - \Delta < \alpha + \frac{\omega - 1}{2}$ must also satisfy $\chi \leq \frac{\omega + \Delta + 1}{2}$, improving the bounds in \cite{reedNote} and \cite{ingo}. We then give a simple argument showing that if a graph satisfies $\chi > \frac{n + 3 - \alpha}{2}$, then it also satisfies $\chi(G) \leq \left\lceil\frac{\omega(G) + \Delta(G) + 1}{2}\right\rceil$. From this it follows that a graph satisfying $n - \Delta < \alpha + \omega$ also satisfies $\chi(G) \leq \left\lceil\frac{\omega(G) + \Delta(G) + 1}{2}\right\rceil$ improving the bounds in \cite{reedNote} and \cite{ingo} even further at the cost of a ceiling. In the next sections, we generalize our main lemma to constrained colorings (e.g. r-bounded colorings). We present a generalization of Reed's conjecture to r-bounded colorings and prove the conjecture for graphs with maximal degree close to their order. Finally, we outline some applications (in \cite{BorodinKostochka} and \cite{ColoringWithDoublyCriticalEdge}) of the theory presented here to the Borodin-Kostochka conjecture and coloring graphs containing a doubly critical edge.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 04:38:14 GMT" }, { "version": "v2", "created": "Fri, 13 Jul 2007 04:14:12 GMT" } ]
2011-11-10T00:00:00
[ [ "Rabern", "Landon", "" ] ]
0707.1070
Dr. Kalobaran Maiti
S.K. Pandey, Ashwani Kumar, S. Patil, V.R.R. Medicherla, R.S. Singh, K. Maiti, D. Prabhakaran, A.T. Boothroyd, and A.V. Pimpale
Investigation of the spin state of Co in LaCoO3 at room temperature
7 figures, 2 tables
null
null
null
cond-mat.str-el cond-mat.mtrl-sci
null
We investigate the spin state of LaCoO3 using state-of-the-art photoemission spectroscopy and ab initio band structure calculations. The GGA+U calculations provide a good description of the ground state for the experimentally estimated value of electron correlation strength, U. In addition to the correlation effect, spin-orbit interaction is observed to play a significant role in the case of intermediate spin and high spin configurations. The comparison of the calculated Co 3d and O 2p partial density of states with the experimental valence band spectra indicates that at room temperature, Co has dominant intermediate spin state configuration and that the high spin configuration may not be significant at this temperature. The lineshape of the La 5p and O 2s core level spectra could be reproduced well within these ab initio calculations.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 04:58:22 GMT" } ]
2007-07-10T00:00:00
[ [ "Pandey", "S. K.", "" ], [ "Kumar", "Ashwani", "" ], [ "Patil", "S.", "" ], [ "Medicherla", "V. R. R.", "" ], [ "Singh", "R. S.", "" ], [ "Maiti", "K.", "" ], [ "Prabhakaran", "D.", "" ], [ "Boothroyd", "A. T.", "" ], [ "Pimpale", "A. V.", "" ] ]
0707.1071
Yun Lai
Ying Wu, Yun Lai, and Zhao-Qing Zhang
A Dynamical Effective Medium Theory for Elastic Metamaterials
5 figures, 1 table
null
null
null
cond-mat.mtrl-sci
null
We develop a dynamical effective medium theory to accurately predict the unusual properties of elastic metamaterials in two dimensions near the resonant frequencies. The theory shows that the effective bulk modulus, shear modulus, and mass density can be made negative by choosing proper resonant scatterers, leading to 8 possible types of wave propagation. The theory not only provides a convenient tool to search for various metamaterials with desired properties, but also gives a unified physical picture of these properties. Here we demonstrate two examples. One possesses large band gaps at low frequencies. The other exhibits two regions of negative refraction: one for both longitudinal and transverse waves and the other for longitudinal waves only.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 04:39:24 GMT" } ]
2007-07-10T00:00:00
[ [ "Wu", "Ying", "" ], [ "Lai", "Yun", "" ], [ "Zhang", "Zhao-Qing", "" ] ]
0707.1072
Mario Maican
Mario Maican
A few remarks concerning the geometry of the moduli spaces of semistable sheaves supported on plane curves of multiplicity four
This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327
[ { "version": "v1", "created": "Sat, 7 Jul 2007 06:46:02 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 03:58:04 GMT" }, { "version": "v3", "created": "Thu, 14 Jan 2010 16:51:10 GMT" } ]
2010-01-14T00:00:00
[ [ "Maican", "Mario", "" ] ]
0707.1073
Xavier Leoncini
Romain Bachelard (CPT), Tounsia Benzekri (CPT), Cristel Chandre (CPT), Xavier Leoncini (CPT), Michel Vittot (CPT)
Targeted mixing in an array of alternating vortices
null
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 046217
10.1103/PhysRevE.76.046217
null
nlin.CD
null
Transport and mixing properties of passive particles advected by an array of vortices are investigated. Starting from the integrable case, it is shown that a special class of perturbations allows one to preserve separatrices which act as effective transport barriers, while triggering chaotic advection. In this setting, mixing within the two dynamical barriers is enhanced while long range transport is prevented. A numerical analysis of mixing properties depending on parameter values is performed; regions for which optimal mixing is achieved are proposed. Robustness of the targeted mixing properties regarding errors in the applied perturbation are considered, as well as slip/no-slip boundary conditions for the flow.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 06:53:45 GMT" }, { "version": "v2", "created": "Tue, 30 Oct 2007 07:43:10 GMT" } ]
2007-10-30T00:00:00
[ [ "Bachelard", "Romain", "", "CPT" ], [ "Benzekri", "Tounsia", "", "CPT" ], [ "Chandre", "Cristel", "", "CPT" ], [ "Leoncini", "Xavier", "", "CPT" ], [ "Vittot", "Michel", "", "CPT" ] ]
0707.1074
Matthew R. James
Matthew R. James and John Gough
Quantum Dissipative Systems and Feedback Control Design by Interconnection
null
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The purpose of this paper is to extend J.C. Willems' theory of dissipative systems to the quantum domain. This general theory, which combines perspectives from the quantum physics and control engineering communities, provides useful methods for analysis and design of dissipative quantum systems. We describe the interaction of the plant and a class of exosystems in general quantum feedback network terms. Our results include an infinitesimal characterization of the dissipation property, which generalizes the well-known Positive Real and Bounded Real Lemmas, and is used to study some properties of quantum dissipative systems. We also show how to formulate control design problems using quantum network models, which implements Willems' `control by interconnection' for open quantum systems. This control design formulation includes, for example, standard problems of stabilization, regulation, and robust control.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 07:10:06 GMT" }, { "version": "v2", "created": "Mon, 1 Dec 2008 04:36:56 GMT" }, { "version": "v3", "created": "Thu, 7 May 2009 01:04:34 GMT" } ]
2009-05-07T00:00:00
[ [ "James", "Matthew R.", "" ], [ "Gough", "John", "" ] ]
0707.1075
John Kovac
J. M. Kovac and D. Barkats (Caltech)
CMB from the South Pole: Past, Present, and Future
8 pages, 23 figure panels and photos, invited review for the Proceedings of the 6th Rencontres du Vietnam 2006
null
null
null
astro-ph
null
South Pole Station offers a unique combination of high, dry, stable conditions and well-developed support facilities. Over the past 20 years, a sequence of increasingly sophisticated CMB experiments at Pole have built on the experience of early pioneering efforts, producing a number of landmark contributions to the field. Telescopes at the South Pole were among the first to make repeated detections of degree-scale CMB temperature anisotropy and to map out the harmonic structure of its acoustic peaks. More recent achievements include the first detection of polarization of the CMB and the most precise measurements of the temperature power spectrum at small angular scales. New CMB telescopes at the South Pole are now making ultra-deep observations of the large-scale polarization of the CMB and of its secondary temperature anisotropies on arcminute scales. These two observing goals represent the current frontiers of CMB research, focused on constraining Inflation and the nature of Dark Energy. The South Pole now hosts an array of CMB observing platforms covering a wide range of angular scales and supporting very long integration times on the cleanest sky available, and thus should play an increasing role in pushing these frontiers of CMB research.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 14:03:37 GMT" } ]
2007-07-10T00:00:00
[ [ "Kovac", "J. M.", "", "Caltech" ], [ "Barkats", "D.", "", "Caltech" ] ]
0707.1076
Javier Fresan
J. M. Ancochea Bermudez, J. Fresan, J. Sanchez Hernandez
On the variety of two dimensional real associative algebras
13 pages, 1 figure
null
null
null
math.RA
null
This paper consists of a description of the variety of two dimensional associative algebras within the framework of Nonstandard Analysis. By decomposing each algebra in A^2 as sum of a Jordan algebra and a Lie algebra, we calculate the isomorphism classes of two dimensional real associative algebras over the field of real numbers and determine the components and the contractions of the variety.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 08:22:46 GMT" }, { "version": "v2", "created": "Thu, 9 Aug 2007 07:15:48 GMT" }, { "version": "v3", "created": "Fri, 12 Oct 2007 12:17:10 GMT" } ]
2011-11-10T00:00:00
[ [ "Bermudez", "J. M. Ancochea", "" ], [ "Fresan", "J.", "" ], [ "Hernandez", "J. Sanchez", "" ] ]
0707.1077
Giuseppe Bimonte
Giuseppe Bimonte, Enrico Calloni and Luigi Rosa
The gravity of magnetic stresses and energy
10 pages, final version accepted for publication in PRD
Phys.Rev.D77:044026,2008
10.1103/PhysRevD.77.044026
DSF 2008/3
gr-qc hep-th
null
In the framework of designing laboratory tests of relativistic gravity, we investigate the gravitational field produced by the magnetic field of a solenoid. Observing this field might provide a mean of testing whether stresses gravitate as predicted by Einstein's theory. A previous study of this problem by Braginsky, Caves and Thorne predicted that the contribution to the gravitational field resulting from the stresses of the magnetic field and of the solenoid walls would cancel the gravitational field produced by the mass-energy of the magnetic field, resulting in a null magnetically-generated gravitational force outside the solenoid. They claim that this null result, once proved experimentally, would demonstrate the stress contribution to gravity. We show that this result is incorrect, as it arises from an incomplete analysis of the stresses, which neglects the axial stresses in the walls. Once the stresses are properly evaluated, we find that the gravitational field outside a long solenoid is in fact independent of Maxwell and material stresses, and it coincides with the newtonian field produced by the linear mass distribution equivalent to the density of magnetic energy stored in a unit length of the solenoid. We argue that the gravity of Maxwell stress can be directly measured in the vacuum region inside the solenoid, where the newtonian noise is absent in principle, and the gravity generated by Maxwell stresses is not screened by the negative gravity of magnetic-induced stresses in the solenoid walls.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 10:30:37 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 09:49:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Bimonte", "Giuseppe", "" ], [ "Calloni", "Enrico", "" ], [ "Rosa", "Luigi", "" ] ]
0707.1078
Vito Domenico Pietro Servedio
Paolo Butt\`a, Fiammetta Cerreti, Vito D. P. Servedio, Livio Triolo
Molecular Dynamics Simulation of Vascular Network Formation
10 pages, 3 figures, 2 of which composite with 8 pictures each. Accepted on J.Stat.Mech. (2009). Appeared at the poster session of StatPhys23, Genoa, Italy, July 13 (2007)
Journal of Statistical Mechanics: Theory and Experiments (2009) P05013, 10 pages
10.1088/1742-5468/2009/05/P05013
Roma01.Math.MP
cond-mat.soft q-bio.CB
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Endothelial cells are responsible for the formation of the capillary blood vessel network. We describe a system of endothelial cells by means of two-dimensional molecular dynamics simulations of point-like particles. Cells' motion is governed by the gradient of the concentration of a chemical substance that they produce (chemotaxis). The typical time of degradation of the chemical substance introduces a characteristic length in the system. We show that point-like model cells form network resembling structures tuned by this characteristic length, before collapsing altogether. Successively, we improve the non-realistic point-like model cells by introducing an isotropic strong repulsive force between them and a velocity dependent force mimicking the observed peculiarity of endothelial cells to preserve the direction of their motion (persistence). This more realistic model does not show a clear network formation. We ascribe this partial fault in reproducing the experiments to the static geometry of our model cells that, in reality, change their shapes by elongating toward neighboring cells.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 09:30:22 GMT" }, { "version": "v2", "created": "Wed, 29 Apr 2009 13:23:59 GMT" } ]
2022-12-22T00:00:00
[ [ "Buttà", "Paolo", "" ], [ "Cerreti", "Fiammetta", "" ], [ "Servedio", "Vito D. P.", "" ], [ "Triolo", "Livio", "" ] ]
0707.1079
M Hossain Ali
M. Hossain Ali
Charged Particles' Tunneling from Hot-NUT-Kerr-Newman-Kasuya Spacetime
To appear in: Int. J. Theor. Phys
Int J Theor Phys (2008) 47: 2203--2217
10.1007/s10773-008-9652-y
null
gr-qc hep-th
null
We study the Hawking radiation as charged particles' tunneling across the horizons of the Hot-NUT-Kerr-Newman-Kasuya spacetime by considering the spacetime background as dynamical and incorporating the self-gravitation effect of the emitted particles when the energy conservation, the angular momentum conservation, and the electric charge conservation are taken into account. Our result shows that the tunneling rate is related to the change of Bekenstein-Hawking entropy and the radiant spectrum is not pure thermal, but is consistent with an underlying unitary theory. The emission process is a reversible one, and the information is preserved as a natural result of the first law of black hole thermodynamics.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 10:18:18 GMT" }, { "version": "v2", "created": "Sat, 10 Nov 2007 06:59:03 GMT" }, { "version": "v3", "created": "Tue, 13 May 2008 04:30:53 GMT" } ]
2008-08-11T00:00:00
[ [ "Ali", "M. Hossain", "" ] ]
0707.1080
Kourosh Nozari
Kourosh Nozari and S. Hamid Mehdipour
Noncommutative Inspired Reissner-Nordstr\"om Black Holes in Large Extra Dimensions
24 pages, 12 figures, revised version to appear in Commun. Theor. Phys
Commun.Theor.Phys.53:503-513,2010
10.1088/0253-6102/53/3/20
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, a new noncommutative geometry inspired solution of the coupled Einstein-Maxwell field equations including black holes in 4-dimension is found. In this paper, we generalize some aspects of this model to the Reissner-Nordstr\"om (RN) like geometries with large extra dimensions. We discuss Hawking radiation process based on noncommutative inspired solutions. In this framework, existence of black hole remnant and possibility of its detection in LHC are investigated.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 05:24:36 GMT" }, { "version": "v2", "created": "Fri, 26 Jun 2009 06:21:32 GMT" } ]
2010-04-22T00:00:00
[ [ "Nozari", "Kourosh", "" ], [ "Mehdipour", "S. Hamid", "" ] ]
0707.1081
Alex Kirillov
A.A. Kirillov and E.P. Savelova
Dark Matter from a gas of wormholes
minor corrections (eq. 18)
Phys.Lett.B660:93-99,2008
10.1016/j.physletb.2007.12.034
null
astro-ph gr-qc hep-th
null
The simplistic model of the classical spacetime foam is considered, which consists of static wormholes embedded in Minkowski spacetime. We explicitly demonstrate that such a foam structure leads to a topological bias of point-like sources which can equally be interpreted as the presence of a dark halo around any point source. It is shown that a non-trivial halo appears on scales where the topological structure possesses a local inhomogeneity, while the homogeneous structure reduces to a constant renormalization of the intensity of sources. We also show that in general dark halos possess both (positive and negative) signs depending on scales and specific properties of topological structure of space.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 10:39:11 GMT" }, { "version": "v2", "created": "Sat, 3 Nov 2007 00:56:01 GMT" }, { "version": "v3", "created": "Fri, 21 Dec 2007 08:10:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Kirillov", "A. A.", "" ], [ "Savelova", "E. P.", "" ] ]
0707.1082
B{\l}a\.zej Szablikowski
Blazej M. Szablikowski, Maciej Blaszak
Dispersionful analogue of the Whitham hierarchy
21 pages
J. Math. Phys. 49 (2008) 082701
10.1063/1.2970774
null
nlin.SI math-ph math.MP
null
The dispersionful analogue, by means of Lax formalism, of the zero-genus universal Whitham hierarchy together with its algebraic orbit finite-field reductions is considered. The theory is illustrated by several significant examples.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 11:38:02 GMT" } ]
2016-02-18T00:00:00
[ [ "Szablikowski", "Blazej M.", "" ], [ "Blaszak", "Maciej", "" ] ]
0707.1083
Viktoria Rojkova
Viktoria Rojkova, Mehmed Kantardzic
Delayed Correlations in Inter-Domain Network Traffic
submitted to CoNext 2007
null
null
null
cs.NI cs.IR
null
To observe the evolution of network traffic correlations we analyze the eigenvalue spectra and eigenvectors statistics of delayed correlation matrices of network traffic counts time series. Delayed correlation matrix D is composed of the correlations between one variable in the multivariable time series and another at a time delay \tau . Inverse participation ratio (IPR) of eigenvectors of D deviates substantially from the IPR of eigenvectors of the equal time correlation matrix C. We relate this finding to the localization and discuss its importance for network congestion control. The time-lagged correlation pattern between network time series is preserved over a long time, up to 100\tau, where \tau=300 sec. The largest eigenvalue \lambda_{max} of D and the corresponding IPR oscillate with two characteristic periods of 3\tau and 6\tau . The existence of delayed correlations between network time series fits well into the long range dependence (LRD) property of the network traffic. The ability to monitor and control the long memory processes is crucial since they impact the network performance. Injecting the random traffic counts between non-randomly correlated time series, we were able to break the picture of periodicity of \lambda_{max}. In addition, we investigated influence of the periodic injections on both largest eigenvalue and the IPR, and addressed relevance of these indicators for the LRD and self-similarity of the network traffic.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:01:51 GMT" } ]
2007-07-10T00:00:00
[ [ "Rojkova", "Viktoria", "" ], [ "Kantardzic", "Mehmed", "" ] ]
0707.1084
B{\l}a\.zej Szablikowski
Maciej Blaszak, Metin Gurses, Burcu Silindir, Blazej M. Szablikowski
Integrable discrete systems on R and related dispersionless systems
19 pages
J. Math. Phys. 49 (2008) 072702
10.1063/1.2948962
null
nlin.SI math-ph math.MP
null
The general framework for integrable discrete systems on R in particular containing lattice soliton systems and their q-deformed analogues is presented. The concept of regular grain structures on R, generated by discrete one-parameter groups of diffeomorphisms, through which one can define algebras of shift operators is introduced. Two integrable hierarchies of discrete chains together with bi-Hamiltonian structures are constructed. Their continuous limit and the inverse problem based on the deformation quantization scheme are considered.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 11:45:27 GMT" } ]
2016-02-18T00:00:00
[ [ "Blaszak", "Maciej", "" ], [ "Gurses", "Metin", "" ], [ "Silindir", "Burcu", "" ], [ "Szablikowski", "Blazej M.", "" ] ]
0707.1085
Mikhail Vasiliev a
M. A. Vasiliev
On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
66 pages, V2: minor corrections, references and acknowledgments added, coefficients and typos corrected, V3: typos corrected, version to appear in Nucl. Phys. B
Nucl.Phys.B793:469-526,2008
10.1016/j.nuclphysb.2007.10.017
null
hep-th
null
The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations for a massless gauge field are shown to possess both $su(2,2)\sim o(4,2)$ and $sl(4,R)\sim o(3,3)$ symmetry. The proposed formulation is well-defined in the $AdS_4$ background but experiences certain degeneracy in the flat limit that does not allow conformal invariant field equations for spin $s>1$ gauge fields in Minkowski space. The basis model involves the doubled set of fields of all spins. It is manifestly invariant under U(1) electric-magnetic duality extended to higher spins. Reduction to a single massless field contains the equations that relate its electric and magnetic potentials which are mixed by the conformal transformations for s>1. We use the unfolded formulation approach recalled in the paper with some emphasis on the role of Chevalley-Eilenberg cohomology of a Lie algebra $g$ in $g$-invariant field equations. This method makes it easy to guess a form of the 4d $sp(8, R)$ invariant massless field equations and then to extend them to the ten dimensional $sp(8,R)$ invariant space-time. Dynamical content of the field equations is analyzed in terms of $\sigma_-$ cohomology.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:06:54 GMT" }, { "version": "v2", "created": "Thu, 23 Aug 2007 21:25:57 GMT" }, { "version": "v3", "created": "Fri, 16 Nov 2007 21:52:31 GMT" } ]
2008-11-26T00:00:00
[ [ "Vasiliev", "M. A.", "" ] ]
0707.1086
Matts Roos
M. Roos
A model of accelerating dark energy in decelerating gravity
4 pages. Three misprints in v1 corrected
null
null
null
astro-ph
null
The expansion of the Universe is accelerated as testified by observations of SNeIa at varying redshifts. Explanations of this acceleration are of two kinds: modifications of Einstein gravity or new forms of energy. An example of modified gravity is the braneworld Dvali-Gabadadze-Porrati (DGP) model, an example of dark energy is Chaplygin gas. Both are characterized by a cross-over length scale $r_c$ which marks the transition between physics occurring on our four-dimensional brane, and in a five-dimensional bulk space. Assuming that the scales $r_c$ in the two models are the same, we study Chaplygin gas dark energy in flat DGP geometries. The self-accelerating branch does not give a viable model, it causes too much acceleration. We derive the Hubble function and the luminosity distance for the self-decelerating branch, and then fit a compilation of 192 SNeIa magnitudes and redshifts in the space of the three parameters of the model. Our model with the self-decelerating branch fits the supernova data as successfully as does the $\Lambda CDM$ model, and with only one additional parameter. In contrast to the $\Lambda CDM$ model, this model needs no fine-tuning, and it can explain the coincidence problem. It is unique in the sense that it cannot be reduced to a cosmological constant model in any other limit of the parameter space than in the distant future. If later tests with other cosmological data are successful, we have here a first indication that we live in a five-dimensional braneworld.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 12:39:54 GMT" }, { "version": "v2", "created": "Fri, 13 Jul 2007 10:06:10 GMT" } ]
2011-11-10T00:00:00
[ [ "Roos", "M.", "" ] ]
0707.1087
S{\o}ren Meibom
S. Meibom, R. D. Mathieu, and K. G. Stassun
The Effect of Binarity on Stellar Rotation - Beyond the Reach of Tides
10 pages, 1 figure, accepted to ApJL
null
10.1086/521437
null
astro-ph
null
We present a comparison between the rotation period distributions of solar-type single stars and primary stars in close binaries (0.1 AU ~< a ~< 5 AU) in the young (150 Myr) open cluster M35 (NGC 2168). We find that the primary stars in the close binaries rotate faster than the single stars, on average. The differences in the means and medians between the period distributions are statistically significant at the 99.9% level or higher. The faster rotation among the primary stars in close binaries is not due to tidal synchronization as tidally evolved stars are excluded from the comparison. We discuss this result in the context of different early-evolution accretion processes and star-disk interactions for single stars and stars in close binaries.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 13:35:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Meibom", "S.", "" ], [ "Mathieu", "R. D.", "" ], [ "Stassun", "K. G.", "" ] ]
0707.1088
Eduardo Sergio Santini
Felipe T. Falciano (IAP and Icra/CBPF), Nelson Pinto-Neto (ICRA/CBPF) and E. Sergio Santini (ICRA/CBPF and Cnen)
An Inflationary Non-singular Quantum Cosmological Model
10 pages, 5 figures. Some changes in the conclusion, some references added. Last version, accepted for publication in PRD
Phys.Rev.D76:083521,2007
10.1103/PhysRevD.76.083521
null
gr-qc
null
A stiff matter-dominated universe modeled by a free massless scalar field minimally coupled to gravity in a Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) geometry is quantized. Generalized complex-width gaussian superpositions of the solutions of the Wheeler-DeWitt equation are constructed and the Bohm-de Broglie interpretation of quantum cosmology is applied. A planar dynamical system is found in which a diversity of quantum bohmian trajectories are obtained and discussed. One class of solutions represents non-singular inflationary models starting at infinity past from flat space-time with Planckian size spacelike hypersurfaces, which inflates without inflaton but due to a quantum cosmological effect, until it makes an analytical graceful exit from this inflationary epoch to a decelerated classical stiff matter expansion phase.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 19:19:30 GMT" }, { "version": "v2", "created": "Tue, 11 Sep 2007 21:17:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Falciano", "Felipe T.", "", "IAP and Icra/CBPF" ], [ "Pinto-Neto", "Nelson", "", "ICRA/CBPF" ], [ "Santini", "E. Sergio", "", "ICRA/CBPF and Cnen" ] ]
0707.1089
Ivan Veseli\'c
Ton\'ci Antunovi\'c and Ivan Veseli\'c
Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
Latex 2e; 25 pages (a4wide); small editorial corrections; one reference added
Journal of Statistical Physics March 2008, Volume 130, Issue 5, pp 983-1009
10.1007/s10955-007-9459-x
null
math.PR math-ph math.GR math.MP
null
We study homogeneous, independent percolation on general quasi-transitive graphs. We prove that in the disorder regime where all clusters are finite almost surely, in fact the expectation of the cluster size is finite. This extends a well-known theorem by Menshikov and Aizenman & Barsky to all quasi-transitive graphs. Moreover we deduce that in this disorder regime the cluster size distribution decays exponentially, extending a result of Aizenman & Newman. Our results apply to both edge and site percolation, as well as long range (edge) percolation. The proof is based on a modification of the Aizenman & Barsky method.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 13:34:02 GMT" }, { "version": "v2", "created": "Thu, 18 Oct 2007 14:52:27 GMT" }, { "version": "v3", "created": "Mon, 12 Nov 2007 13:56:36 GMT" } ]
2016-01-07T00:00:00
[ [ "Antunović", "Tonći", "" ], [ "Veselić", "Ivan", "" ] ]
0707.1090
Rakesh Kumar
Rakesh Kumar, C.V. Tomy, R. Nagarajan, P.L. Paulose and S.K. Malik
Magnetization and heat capacity studies of double perovskite compounds Ba2SmRuO6 and Ba2DyRuO6
13pages,7fig
null
null
null
cond-mat.mtrl-sci cond-mat.str-el
null
Here we report the magnetic and heat capacity studies of the double perovskite com-pounds Ba2SmRuO6 and Ba2DyRuO6. Antiferromagnetic transitions are inferred at 54 K and 47 K in Ba2SmRuO6 and Ba2DyRuO6, respectively in the magnetization measure-ments. Heat capacity measurements show large jumps at the corresponding temperatures and confirm the bulk magnetic ordering. Both the measurements provide clear indication of the ordering of the rare earth moments also along with the Ruthenium moments. How-ever, the heat capacity results suggest that the ordering of rare earth magnetic moments is spread over a large temperature range and is affected by a large crystal field effect on Ru and rare earth ions. The anomaly observed in the magnetization measurements at 42 K (below the magnetic ordering) in Ba2SmRuO6 is discerned as a reorientation of Sm3+ moments
[ { "version": "v1", "created": "Sat, 7 Jul 2007 13:41:59 GMT" } ]
2007-07-10T00:00:00
[ [ "Kumar", "Rakesh", "" ], [ "Tomy", "C. V.", "" ], [ "Nagarajan", "R.", "" ], [ "Paulose", "P. L.", "" ], [ "Malik", "S. K.", "" ] ]
0707.1091
Arun Kenath Mr
C Sivaram (1) ((1) Indian Institute of Astrophysics)
Smashnova Model
null
null
null
null
astro-ph
null
An alternate model for gamma ray bursts is suggested. For a white dwarf (WD) and neutron star (NS) very close binary system, the WD (close to Mch) can detonate due to tidal heating, leading to a SN. Material falling on to the NS at relativistic velocities can cause its collapse to a magnetar or quark star or black hole leading to a GRB. As the material smashes on to the NS, it is dubbed the Smashnova model. Here the SN is followed by a GRB. NS impacting a RG (or RSG) (like in Thorne-Zytkow objects) can also cause a SN outburst followed by a GRB. Other variations are explored.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 13:54:54 GMT" } ]
2007-07-10T00:00:00
[ [ "Sivaram", "C", "", "Indian Institute of Astrophysics" ] ]
0707.1092
Pierre Bayard
Pierre Bayard, Philippe Delano\"e
Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature
13 pages
null
null
null
math.AP math.DG
null
Existence and uniqueness in ${\Bbb R}^{n,1}$ of entire spacelike hypersurfaces contained in the future of the origin $O$ and asymptotic to the light-cone, with scalar curvature prescribed at their generic point $M$ as a negative function of the unit vector $\overrightarrow{Om}$ pointing in the direction of $\overrightarrow{OM}$, divided by the square of the norm of $\overrightarrow{OM}$ (a dilation invariant problem). The solutions are seeked as graphs over the future unit-hyperboloid emanating from $O$ (the hyperbolic space); radial upper and lower solutions are constructed which, relying on a previous result in the Cartesian setting, imply their existence.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 14:18:49 GMT" } ]
2007-07-10T00:00:00
[ [ "Bayard", "Pierre", "" ], [ "Delanoë", "Philippe", "" ] ]
0707.1093
Lawrence R. Pratt
J. K. Shah, D. Asthagiri, L. R. Pratt, M. E. Paulaitis
Balancing Local Order and Long-Ranged Interactions in the Molecular Theory of Liquid Water
8 pages, 6 figures
null
10.1063/1.2766940
LA-UR-07-3494
physics.chem-ph physics.bio-ph
null
A molecular theory of liquid water is identified and studied on the basis of computer simulation of the TIP3P model of liquid water. This theory would be exact for models of liquid water in which the intermolecular interactions vanish outside a finite spatial range, and therefore provides a precise analysis tool for investigating the effects of longer-ranged intermolecular interactions. We show how local order can be introduced through quasi-chemical theory. Long-ranged interactions are characterized generally by a conditional distribution of binding energies, and this formulation is interpreted as a regularization of the primitive statistical thermodynamic problem. These binding-energy distributions for liquid water are observed to be unimodal. The gaussian approximation proposed is remarkably successful in predicting the Gibbs free energy and the molar entropy of liquid water, as judged by comparison with numerically exact results. The remaining discrepancies are subtle quantitative problems that do have significant consequences for the thermodynamic properties that distinguish water from many other liquids. The basic subtlety of liquid water is found then in the competition of several effects which must be quantitatively balanced for realistic results.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 14:18:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Shah", "J. K.", "" ], [ "Asthagiri", "D.", "" ], [ "Pratt", "L. R.", "" ], [ "Paulaitis", "M. E.", "" ] ]
0707.1094
Jose' P. S. Lemos
Jos\'e P. S. Lemos, Oleg B. Zaslavskii
Quasi-black holes: definition and general properties
29 pages, minor changes
Phys.Rev.D76:084030,2007
10.1103/PhysRevD.76.084030
null
gr-qc astro-ph hep-th
null
Objects that are on the verge of being extremal black holes but actually are distinct in many ways are called quasi-black holes. Quasi-black holes are defined here and treated in a unified way through the displaying of their properties. The main ones are (i) there are infinite redshift whole regions, (ii) the spacetimes exhibit degenerate, almost singular, features but their curvature invariants remain perfectly regular everywhere, (iii) in the limit under discussion, outer and inner regions become mutually impenetrable and disjoint, although, in contrast to the usual black holes, this separation is of a dynamical nature, rather than purely causal, (iv) for external far away observers the spacetime is virtually indistinguishable from that of extremal black holes. It is shown, in addition, that quasi-black holes must be extremal. Connections with black hole and wormhole physics are also drawn.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 15:01:18 GMT" }, { "version": "v2", "created": "Sat, 6 Oct 2007 19:31:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Lemos", "José P. S.", "" ], [ "Zaslavskii", "Oleg B.", "" ] ]
0707.1095
Gregory Gutin
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael Krivelevich, Saket Saurabh
Better Algorithms and Bounds for Directed Maximum Leaf Problems
null
null
null
null
cs.DS cs.DM
null
The {\sc Directed Maximum Leaf Out-Branching} problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this paper, we improve known parameterized algorithms and combinatorial bounds on the number of leaves in out-branchings. We show that \begin{itemize} \item every strongly connected digraph $D$ of order $n$ with minimum in-degree at least 3 has an out-branching with at least $(n/4)^{1/3}-1$ leaves; \item if a strongly connected digraph $D$ does not contain an out-branching with $k$ leaves, then the pathwidth of its underlying graph is $O(k\log k)$; \item it can be decided in time $2^{O(k\log^2 k)}\cdot n^{O(1)}$ whether a strongly connected digraph on $n$ vertices has an out-branching with at least $k$ leaves. \end{itemize} All improvements use properties of extremal structures obtained after applying local search and of some out-branching decompositions.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 15:52:29 GMT" } ]
2007-07-10T00:00:00
[ [ "Alon", "Noga", "" ], [ "Fomin", "Fedor V.", "" ], [ "Gutin", "Gregory", "" ], [ "Krivelevich", "Michael", "" ], [ "Saurabh", "Saket", "" ] ]
0707.1096
Gu Jiapu
Gu Jiapu
Study on the energy criterion of cuprate superconductivity
10 pages, 2 figures
null
null
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we use the variation of spontaneous magnetization to describe the influence of electron holes in cuprate superconductors, and use competitive energy relations to explore the superconductivity rule and energy criterion, on this basis, we can deduce a clear physical image of superconducting phase diagram and superconducting mechanism.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 16:04:44 GMT" }, { "version": "v2", "created": "Sat, 24 Oct 2009 10:14:59 GMT" }, { "version": "v3", "created": "Tue, 27 Oct 2009 13:31:06 GMT" }, { "version": "v4", "created": "Tue, 9 Feb 2010 16:49:18 GMT" } ]
2010-02-09T00:00:00
[ [ "Jiapu", "Gu", "" ] ]
0707.1097
Grigori Amosov
Grigori G. Amosov
The strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension
3 pages
Physical Review A 75 (2007) no. 6, P. 060304
10.1103/PhysRevA.75.060304
null
quant-ph
null
Given a quantum channel $\Phi $ in a Hilbert space $H$ put $\hat H_{\Phi}(\rho)=\min \limits_{\rho_{av}=\rho}\Sigma_{j=1}^{k}\pi_{j}S(\Phi (\rho_{j}))$, where $\rho_{av}=\Sigma_{j=1}^{k}\pi_{j}\rho_{j}$, the minimum is taken over all probability distributions $\pi =\{\pi_{j}\}$ and states $\rho_{j}$ in $H$, $S(\rho)=-Tr\rho\log\rho$ is the von Neumann entropy of a state $\rho$. The strong superadditivity conjecture states that $\hat H_{\Phi \otimes \Psi}(\rho)\ge \hat H_{\Phi}(Tr_{K}(\rho))+\hat H_{\Psi}(Tr_{H}(\rho))$ for two channels $\Phi $ and $\Psi $ in Hilbert spaces $H$ and $K$, respectively. We have proved the strong superadditivity conjecture for the quantum depolarizing channel in any dimensions.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 16:07:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Amosov", "Grigori G.", "" ] ]
0707.1098
Antonio Alarcon
Antonio Alarcon
On the Calabi-Yau problem for maximal surfaces in L^3
12 pages, 2 figures. Revised version. To appear in Differ. Geom. Appl
null
null
null
math.DG
null
In this paper we construct an example of a weakly complete maximal surface in the Lorentz-Minkowski space L^3, which is bounded by a hyperboloid. Moreover, all the singularities of our example are of lightlike type.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 18:48:33 GMT" }, { "version": "v2", "created": "Tue, 4 Dec 2007 12:39:23 GMT" } ]
2007-12-04T00:00:00
[ [ "Alarcon", "Antonio", "" ] ]
0707.1099
Samar Agnihotri
Samar Agnihotri and Pavan Nuggehalli
Worst-Case Interactive Communication and Enhancing Sensor Network Lifetime
Minor revision: fixed some typos and reorganized some portions. 12 pages, 3 figures
null
null
null
cs.IT math.IT
null
We are concerned with the problem of maximizing the worst-case lifetime of a data-gathering wireless sensor network consisting of a set of sensor nodes directly communicating with a base-station.We propose to solve this problem by modeling sensor node and base-station communication as the interactive communication between multiple correlated informants (sensor nodes) and a recipient (base-station). We provide practical and scalable interactive communication protocols for data gathering in sensor networks and demonstrate their efficiency compared to traditional approaches. In this paper, we first develop a formalism to address the problem of worst-case interactive communication between a set of multiple correlated informants and a recipient. We realize that there can be different objectives to achieve in such a communication scenario and compute the optimal number of messages and bits exchanged to realize these objectives. Then, we propose to adapt these results in the context of single-hop data-gathering sensor networks. Finally, based on this proposed formalism, we propose a clustering based communication protocol for large sensor networks and demonstrate its superiority over a traditional clustering protocol.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 18:06:36 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 10:41:29 GMT" }, { "version": "v3", "created": "Sat, 3 Nov 2007 13:30:47 GMT" } ]
2007-11-03T00:00:00
[ [ "Agnihotri", "Samar", "" ], [ "Nuggehalli", "Pavan", "" ] ]
0707.1100
Petter Holme
Petter Holme
Efficiency of navigation in indexed networks
null
Dynamics on and of networks. N. Ganguly, A. Mukherjee and A. Deutsch, eds., (Birkauser, Boston, 2009), pp. 189-198.
10.1007/978-0-8176-4751-3_11
null
physics.comp-ph
null
We investigate efficient methods for packets to navigate in complex networks. The packets are assumed to have memory, but no previous knowledge of the graph. We assume the graph to be indexed, i.e. every vertex is associated with a number (accessible to the packets) between one and the size of the graph. We test different schemes to assign indices and utilize them in packet navigation. Four different network models with very different topological characteristics are used for testing the schemes. We find that one scheme outperform the others, and has an efficiency close to the theoretical optimum. We discuss the use of indexed-graph navigation in peer-to-peer networking and other distributed information systems.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 18:08:06 GMT" } ]
2009-06-09T00:00:00
[ [ "Holme", "Petter", "" ] ]
0707.1101
Thomas Mehen
Ahmad Idilbi (Duke U.), Thomas Mehen (Duke U. & Jefferson Lab)
Demonstration of the Equivalence of Soft and Zero-Bin Subtractions
14 pages, 3 figures
Phys.Rev.D76:094015,2007
10.1103/PhysRevD.76.094015
null
hep-ph
null
Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from soft modes. At leading order in $\lambda$, where $\lambda$ is the SCET expansion parameter, the zero-bin subtractions have been argued to be equivalent to convolution with soft Wilson lines. We give a proof of the factorization of naive collinear Wilson lines that is crucial for the derivation of the equivalence. We then check the equivalence by computing the non-Abelian two-loop mixed collinear-soft contribution to the jet function in the quark form factor. These results provide strong support for the equivalence, which can be used to give a nonperturbative definition of the zero-bin subtraction at lowest order in $\lambda$.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 14:03:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Idilbi", "Ahmad", "", "Duke U." ], [ "Mehen", "Thomas", "", "Duke U. & Jefferson Lab" ] ]
0707.1102
Michael Zieve
Ariane M. Masuda and Michael E. Zieve
Nonexistence of permutation binomials of certain shapes
6 pages
Electronic J. Combinatorics 14 (2007), N12
null
null
math.NT
null
Suppose x^m + c*x^n is a permutation polynomial over GF(p), where p>5 is prime, m>n>0, and c is in GF(p)^*. We prove that gcd(m-n,p-1) is not 2 or 4. In the special case that either (p-1)/2 or (p-1)/4 is prime, this was conjectured in a recent paper by Masuda, Panario and Wang.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:07:10 GMT" } ]
2008-06-09T00:00:00
[ [ "Masuda", "Ariane M.", "" ], [ "Zieve", "Michael E.", "" ] ]
0707.1103
Achyut Bora
Achyut Bora and A.K. Raychaudhuri
Scanning Thermal Microscope Study of a Metal Film Under Current Stressing: Role of Temperature Inhomogeneity in Damage Process
25 pages, 9 figures
null
null
null
cond-mat.other
null
We report direct observation of the evolution of local temperature inhomogeneity and the resulting atomic migration in a metal film (Ag on Si) stressed by a current by using a Scanning Thermal Microscope that allows simultaneous temperature mapping and topography imaging. The experimental observation is analyzed using a model based simulation. The experimental observation and the simulation show that due to current stressing the temperature of the film becomes significantly inhomogeneous over time (with local temperature deviating strongly from the mean). This creates local stress as well as local temperature gradient that lead to mass migration in addition to the electromigration. We show that the local temperature inhomogeneity serves as one of the main agents for local atomic migration which leads to change in film microstructure. The migration leads to damage and eventual failure as simultaneously monitored by in-situ resistance measurement.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:14:27 GMT" } ]
2007-07-10T00:00:00
[ [ "Bora", "Achyut", "" ], [ "Raychaudhuri", "A. K.", "" ] ]
0707.1104
Hans Vernaeve
Claudia Garetto and Hans Vernaeve
Hilbert $\widetilde{\C}$-modules: structural properties and applications to variational problems
null
Trans. Amer. Math. Soc. (2011) 363: 2047-2090
null
null
math.FA
null
We develop a theory of Hilbert $\widetilde{\C}$-modules by investigating their structural and functional analytic properties. Particular attention is given to finitely generated submodules, projection operators, representation theorems for $\widetilde{\C}$-linear functionals and $\widetilde{\C}$-sesquilinear forms. By making use of a generalized Lax-Milgram theorem, we provide some existence and uniqueness theorems for variational problems involving a generalized bilinear or sesquilinear form.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:40:13 GMT" } ]
2014-04-01T00:00:00
[ [ "Garetto", "Claudia", "" ], [ "Vernaeve", "Hans", "" ] ]
0707.1105
Jose Antonio Martins Simoes
F. M. L. de Almeida Jr., Y. A.Coutinho, J. A. Martins Sim\~oes, A. J. Ramalho, S. Wulck, M. A. B. do Vale
Right-handed heavy neutrinos in the littlest Higgs model
9 pages, 4 figures. Revised version
null
null
null
hep-ph
null
In this paper we discuss the consequences of including a new heavy right-handed neutrino singlet $N_R$ in the littlest Higgs model. This new state is not connected with the light neutrinos {\it via} the seesaw mechanism. A very interesting property of this extended model is the full coupling of the new neutral gauge boson $A_H$ to $N_R$, giving large total cross sections and suggesting a wide range of experimental search for the $N_R$ at the p p collider CERN-LHC and future electron-positron collider ILC.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 16:53:21 GMT" }, { "version": "v2", "created": "Mon, 1 Oct 2007 17:23:27 GMT" } ]
2007-10-01T00:00:00
[ [ "Almeida", "F. M. L. de", "Jr." ], [ "Coutinho", "Y. A.", "" ], [ "Simões", "J. A. Martins", "" ], [ "Ramalho", "A. J.", "" ], [ "Wulck", "S.", "" ], [ "Vale", "M. A. B. do", "" ] ]
0707.1106
Dmitry Novikov
D. S. Novikov
Numbers of donors and acceptors from transport measurements in graphene
3 pages, 1 figure
Appl. Phys. Lett. 91, 102102 (2007)
10.1063/1.2779107
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
A method is suggested to separately determine the surface density of positively and negatively charged impurities that limit the mobility in a graphene monolayer. The method is based on the exact result for the transport cross-section, according to which the massless carriers are scattered more strongly when they are attracted to a charged impurity than when they are repelled from it.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:23:27 GMT" } ]
2007-09-05T00:00:00
[ [ "Novikov", "D. S.", "" ] ]
0707.1107
Adilson Enio Motter
Adilson E. Motter and Zoltan Toroczkai
Optimization in Networks
Opening article of the CHAOS Focus Issue "Optimization in Networks", available at http://link.aip.org/link/?CHA/17/2/htmltoc
Chaos 17, 026101 (2007)
10.1063/1.2751266
null
cond-mat.dis-nn nlin.CD
null
The recent surge in the network modeling of complex systems has set the stage for a new era in the study of fundamental and applied aspects of optimization in collective behavior. This Focus Issue presents an extended view of the state of the art in this field and includes articles from a large variety of domains where optimization manifests itself, including physical, biological, social, and technological networked systems.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:28:14 GMT" } ]
2007-07-10T00:00:00
[ [ "Motter", "Adilson E.", "" ], [ "Toroczkai", "Zoltan", "" ] ]
0707.1108
Michael Zieve
Ariane M. Masuda and Michael E. Zieve
Permutation binomials over finite fields
12 pages; various minor changes
Trans. Amer. Math. Soc. 361 (2009) 4169-4180
null
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that if x^m + c*x^n permutes the prime field GF(p), where m>n>0 and c is in GF(p)^*, then gcd(m-n,p-1) > sqrt{p} - 1. Conversely, we prove that if q>=4 and m>n>0 are fixed and satisfy gcd(m-n,q-1) > 2q*(log log q)/(log q), then there exist permutation binomials over GF(q) of the form x^m + c*x^n if and only if gcd(m,n,q-1) = 1.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:43:00 GMT" }, { "version": "v2", "created": "Thu, 19 Jul 2007 17:33:33 GMT" }, { "version": "v3", "created": "Wed, 24 Dec 2008 03:35:54 GMT" } ]
2013-10-08T00:00:00
[ [ "Masuda", "Ariane M.", "" ], [ "Zieve", "Michael E.", "" ] ]
0707.1109
Anatoly Vershik
A.V.Malyutin, A.M.Vershik
Boundary of the braid groups and Markov--Ivanovsky normal form
P.25, Ref 21, Fig 3
null
null
null
math.GT math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe random walk boundaries (in particular, the Poisson--Furstenberg, or PF-boundary) for a vast family of groups in terms of the hyperbolic boundary of a special free subgroup. We prove that almost all trajectories of the random walk (with respect to an arbitrary nondegenerate measure on the group) converge to points of that boundary. This implies the stability (in the sense of \cite{Ver}) of the so-called Markov--Ivanovsky normal form for braids.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 19:44:29 GMT" }, { "version": "v2", "created": "Sat, 13 Sep 2008 16:42:43 GMT" } ]
2008-09-15T00:00:00
[ [ "Malyutin", "A. V.", "" ], [ "Vershik", "A. M.", "" ] ]
0707.1110
Michael Zieve
Michael E. Zieve
On some permutation polynomials over F_q of the form x^r*h(x^((q-1)/d)))
10 pages
Proc. Amer. Math. Soc. 137 (2009) 2209-2216
null
null
math.NT
null
In a recent paper, Akbary and Wang gave a sufficient condition for x^u + x^r to permute GF(q), in terms of the period of a certain sequence involving sums of cosines. As an application they gave necessary and sufficient conditions in case u,r,q satisfy certain special properties. We show that the Akbary-Wang sufficient condition follows from a more general sufficient condition which does not involve sums of cosines. This leads to vastly simpler proofs of the Akbary-Wang results, as well as generalizations to polynomials of the form x^r*h(x^{(q-1)/d}).
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:04:17 GMT" } ]
2013-10-08T00:00:00
[ [ "Zieve", "Michael E.", "" ] ]
0707.1111
Michael Zieve
Michael E. Zieve
Some families of permutation polynomials over finite fields
7 pages
Int. J. Number Theory 4 (2008), 851-857
null
null
math.NT
null
We give necessary and sufficient conditions for a polynomial of the form x^r*(1+x^v+x^(2v)+...+x^(kv))^t to permute the elements of the finite field GF(q). Our results yield especially simple criteria in case (q-1)/gcd(q-1,v) is a small prime.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:18:30 GMT" } ]
2013-10-08T00:00:00
[ [ "Zieve", "Michael E.", "" ] ]
0707.1112
Yuri Obukhov
Yuri N. Obukhov and Friedrich W. Hehl
On the boundary-value problems and the validity of the Post constraint in modern electromagnetism
Revtex, 7 pages, no figures
null
null
null
physics.class-ph physics.optics
null
We recall that the theory of electromagnetism consists of three building blocks: (a) the inhomogeneous Maxwell equations for the electric and magnetic excitations $(D,H)$ (which reflects charge conservation), (b) the homogeneous Maxwell equations for the electric and magnetic field strengths $(E,B)$ (which reflects flux conservation), and (c) the constitutive relation between $(D,H)$ and $(E,B)$. In the recent paper \cite{Lakhtakia1}, Lakhtakia proposed to change the standard boundary conditions in electrodynamics in order to exclude certain constitutive parameters. We show that this is inadmissible both from the macroscopic and the microscopic points of view.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:22:57 GMT" } ]
2007-07-10T00:00:00
[ [ "Obukhov", "Yuri N.", "" ], [ "Hehl", "Friedrich W.", "" ] ]
0707.1113
Krzysztof Marciniak
Krzysztof Marciniak and Maciej Blaszak
Non-Hamiltonian systems separable by Hamilton-Jacobi method
20 pages, LaTeX, no figures
null
10.1016/j.geomphys.2007.12.008
null
nlin.SI
null
We show that with every separable calssical Stackel system of Benenti type on a Riemannian space one can associate, by a proper deformation of the metric tensor, a multi-parameter family of non-Hamiltonian systems on the same space, sharing the same trajectories and related to the seed system by appropriate reciprocal transformations. These system are known as bi-cofactor systems and are integrable in quadratures as the seed Hamiltonian system is. We show that with each class of bi-cofactor systems a pair of separation curves can be related. We also investigate conditions under which a given flat bi-cofactor system can be deformed to a family of geodesically equivalent flat bi-cofactor systems.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:24:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Marciniak", "Krzysztof", "" ], [ "Blaszak", "Maciej", "" ] ]
0707.1114
Elena Kazantseva V.
Elena V. Kazantseva, Andrei I. Maimistov
Wide defect in a Resonantly Absorbing Bragg Grating as a nonlinear microresonator for polaritons
6 figures
null
null
null
nlin.PS
null
The nonlinear polariton transmission, reflection and trapping by a defect in the resonantly absorbing Bragg grating (RABG) is demonstrated in numerical simulation. It is shown that the wide defect under some conditions could effectively serve as microresonator for polaritonic wave storage. The three types of the defect such as microcavity, groove and stripe are considered. Capture the electromagnetic field inside the microcavity (with no resonant nanoparticles) placed in the RABG is observed, as well as stuck of trapped polarization modes to the defect edges for the groove (defect span with reduced density of nanoparticles) and for the stripe with relatively increased density. Strong radiation reflection and adhered propagation of the polarization mode along the first edge of the stripe with high density of resonant atoms is exhibited by numerical computation.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 20:51:30 GMT" } ]
2007-07-10T00:00:00
[ [ "Kazantseva", "Elena V.", "" ], [ "Maimistov", "Andrei I.", "" ] ]
0707.1115
Hirohisa Tanaka
H.A. Tanaka (for the MiniBooNE Collaboration)
The Search for $\nu_\mu \to \nu_e$ Oscillations at MiniBooNE
Flavor Physics & CP Violation Conference, Bled, 2007
ECONF C070512:004,2007
null
fpcp07_122
hep-ex
null
MiniBooNE (Mini Booster Neutrino Experiment) searches for the $\nu_\mu\to\nu_e$ oscillations with $\Delta m^2 \sim 1 \eV^2/c^4$ indicated by the LSND experiment. The LSND evidence, when taken with the solar and atmospheric neutrino oscillations, suggests new physics beyond the Standard Model. However, this evidence has not been confirmed by other experiments. MiniBooNE has completed its first $\nu_\mu\to\nu_e$ oscillation search using a sample of $\sim 1$ GeV neutrino events obtained with $5.58\times 10^{20}$ protons delivered to the Booster Neutrino Beamline. The analysis finds no significant excess of $\nu_e$ events in the analysis region of 475-3000 MeV.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 23:02:18 GMT" } ]
2019-08-13T00:00:00
[ [ "Tanaka", "H. A.", "", "for the MiniBooNE Collaboration" ] ]
0707.1116
James Dufty
James W. Dufty
Fourier's Law for a Granular Fluid
submitted for publication in a Special Issue of Journal of Physical Chemistry B in honor of the 70th birthday of Keith Gubbins
null
null
null
cond-mat.stat-mech cond-mat.soft
null
Newton' viscosity law for the momentum flux and Fourier's law for the heat flux define Navier-Stokes hydrodynamics for a simple, one component fluid. There is ample evidence that a hydrodynamic description applies as well to a mesoscopic granular fluid with the same form for Newton's viscosity law. However, theory predicts a qualitative difference for Fourier's law with an additional contribution from density gradients even at uniform temperature. The reasons for the absence of such terms for normal fluids are indicated, and a related microscopic explanation for their existence in granular fluids is presented.
[ { "version": "v1", "created": "Sat, 7 Jul 2007 23:27:20 GMT" } ]
2007-07-10T00:00:00
[ [ "Dufty", "James W.", "" ] ]
0707.1117
Terence C. Tao
Terence Tao
Norm convergence of multiple ergodic averages for commuting transformations
32 pages, no figures, to appear, Ergod. Thy. Dynam. Sys. Referee comments incorporated, some additional explanations given
null
null
null
math.DS math.CO
null
Let $T_1, ..., T_l: X \to X$ be commuting measure-preserving transformations on a probability space $(X, \X, \mu)$. We show that the multiple ergodic averages $\frac{1}{N} \sum_{n=0}^{N-1} f_1(T_1^n x) ... f_l(T_l^n x)$ are convergent in $L^2(X,\X,\mu)$ as $N \to \infty$ for all $f_1,...,f_l \in L^\infty(X,\X,\mu)$; this was previously established for $l=2$ by Conze and Lesigne and for general $l$ assuming some additional ergodicity hypotheses on the maps $T_i$ and $T_i T_j^{-1}$ by Frantzikinakis and Kra (with the $l=3$ case of this result established earlier by Zhang). Our approach is combinatorial and finitary in nature, inspired by recent developments regarding the hypergraph regularity and removal lemmas, although we will not need the full strength of those lemmas. In particular, the $l=2$ case of our arguments are a finitary analogue of those of Conze and Lesigne.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 00:13:47 GMT" }, { "version": "v2", "created": "Tue, 4 Sep 2007 18:59:35 GMT" }, { "version": "v3", "created": "Wed, 24 Oct 2007 17:48:50 GMT" } ]
2007-10-24T00:00:00
[ [ "Tao", "Terence", "" ] ]
0707.1118
Hugh Hudson
Hugh S. Hudson
The Unpredictability of the Most Energetic Solar Events
4 pages
Astrophys.J.663:L45-L48,2007
10.1086/519923
null
astro-ph
null
Observations over the past two solar cycles show a highly irregular pattern of occurrence for major solar flares, gamma-ray events, and solar energetic particle (SEP) fluences. Such phenomena do not appear to follow the direct indices of solar magnetic activity, such as the sunspot number. I show that this results from the non-Poisson occurrence for the most energetic events. This Letter also points out a particularly striking example of this irregularity in a comparison between the declining phases of the recent two solar cycles (1993-1995 and 2004-2006, respectively) and traces it through the radiated energies of the flares, the associated SEP fluences, and the sunspot areas. These factors suggest that processes in the solar interior involved with the supply of magnetic flux up to the surface of the Sun have strong correlations in space and time, leading to a complex occurrence pattern that is presently unpredictable on timescales longer than active region lifetimes (weeks) and not correlated well with the solar cycle itself.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 01:02:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Hudson", "Hugh S.", "" ] ]
0707.1119
Jason Twamley
J. Fitzsimons and J. Twamley
Globally controlled fault tolerant quantum computation
4 Pages, 3 figures
null
null
null
quant-ph
null
We describe a method to execute globally controlled quantum information processing which admits a fault tolerant quantum error correction scheme. Our scheme nominally uses three species of addressable two-level systems which are arranged in a one dimensional array in a specific periodic arrangement. We show that the scheme possesses a fault tolerant error threshold.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 07:41:56 GMT" } ]
2007-07-10T00:00:00
[ [ "Fitzsimons", "J.", "" ], [ "Twamley", "J.", "" ] ]
0707.1120
Laura Felicia Matusevich
Laura Felicia Matusevich
Weyl closure of hypergeometric systems
Changes in Section 2: Proposition 2.5 from version 1 was incorrectly proven; this has now been removed, and the proof of Theorem 2.7 no longer relies on that fact
null
null
null
math.AG math.AC math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that A-hypergeometric systems and Horn hypergeometric systems are Weyl closed for very generic parameters.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 01:35:14 GMT" }, { "version": "v2", "created": "Mon, 19 Jan 2009 05:58:16 GMT" } ]
2009-01-19T00:00:00
[ [ "Matusevich", "Laura Felicia", "" ] ]
0707.1121
Gregory W. Hammett
N. F. Loureiro and G. W. Hammett
An iterative semi-implicit scheme with robust damping
Submitted to the Journal of Computational Physics. Clarifications and caveats in response to referees, numerical demonstration of convergence rate, generalized symplectic proof
J. Comp. Phys. 227, 4518 (2008)
10.1016/j.jcp.2008.01.015
null
physics.comp-ph physics.plasm-ph
null
An efficient, iterative semi-implicit (SI) numerical method for the time integration of stiff wave systems is presented. Physics-based assumptions are used to derive a convergent iterative formulation of the SI scheme which enables the monitoring and control of the error introduced by the SI operator. This iteration essentially turns a semi-implicit method into a fully implicit method. Accuracy, rather than stability, determines the timestep. The scheme is second-order accurate and shown to be equivalent to a simple preconditioning method. We show how the diffusion operators can be handled so as to yield the property of robust damping, i.e., dissipating the solution at all values of the parameter $\mathcal D\dt$, where $\mathcal D$ is a diffusion operator and $\dt$ the timestep. The overall scheme remains second-order accurate even if the advection and diffusion operators do not commute. In the limit of no physical dissipation, and for a linear test wave problem, the method is shown to be symplectic. The method is tested on the problem of Kinetic Alfv\'en wave mediated magnetic reconnection. A Fourier (pseudo-spectral) representation is used. A 2-field gyrofluid model is used and an efficacious k-space SI operator for this problem is demonstrated. CPU speed-up factors over a CFL-limited explicit algorithm ranging from $\sim20$ to several hundreds are obtained, while accurately capturing the results of an explicit integration. Possible extension of these results to a real-space (grid) discretization is discussed.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 03:56:15 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 03:23:50 GMT" } ]
2008-07-02T00:00:00
[ [ "Loureiro", "N. F.", "" ], [ "Hammett", "G. W.", "" ] ]
0707.1122
Rituparno Goswami
Rituparno Goswami
Gravitational collapse of dustlike matter with heat flux
5 pages, Revtex4, 2 figures
null
null
null
gr-qc astro-ph hep-th
null
We present a new class of solutions to Einstein equations for the spherical collapse of dustlike matter coupled with heat flux. In this family of solutions spacetime shear is necessarily non-zero. Also these solutions have an interesting property that there is always a bounce before the singularity, which is caused entirely due to the dissipative processes. We show there exist open sets of initial data for which the bounce occurs before any trapped surface formation, making the star explode away to infinity. We also discuss the role of heat flow in generating spacetime shear and in modifying the effective inertial mass of the matter cloud.
[ { "version": "v1", "created": "Mon, 9 Jul 2007 19:37:52 GMT" } ]
2007-07-11T00:00:00
[ [ "Goswami", "Rituparno", "" ] ]
0707.1123
Afif Siddiki Dr.
Afif Siddiki
The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples
EP2DS-17 Proceedings, 6 Pages, 2 Figures
null
10.1016/j.physe.2007.08.153
null
cond-mat.mes-hall
null
A self-consistent Thomas-Fermi-Poisson based calculation scheme is used to achieve spin resolved incompressible strips (ISs). The effect of exchange and correlation is incorporated by an empirically induced g factor. A local version of the Ohm's law describes the imposed fixed current, where the discrepancies of this model are resolved by a relevant spatial averaging process. The longitudinal resistance is obtained as a function of the perpendicular (strong) magnetic field at filling factor one and two plateaus. Interrelation between the ISs and the longitudinal zeros is explicitly shown.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 07:41:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Siddiki", "Afif", "" ] ]
0707.1124
Efim Zasavitsky
E. Zasavitsky
Tensoresistive Effect in Single Crystal Microwires of Pbte Doped with Tl
5 pages, 2 figures
null
null
null
cond-mat.mtrl-sci cond-mat.mes-hall
null
Results of room temperature measurements of tensoresistive effect of thin single crystal microwires of Pb1-xTlxTe (x=0.0000 - 0.0025, d = 5 - 20 micrometers) obtained from the melted compound of corresponding composition by the filling of quartz capillary with the following crystallization of material are presented. For the samples corresponding to chemical composition with concentration of thallium x ~0,0025 an essential increase of tensoresistive effect (resistance changes for elastic elongations per unit length of a crystal) in comparison with nondoped samples is observed. Various mechanisms which can lead to observable anomalies, including resonance scattering are discussed. Obtained experimental results allow us to suppose that the observed peculiarities can be interpreted on the basis of model of an impurity band of Tl in PbTe.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 07:44:50 GMT" } ]
2007-07-10T00:00:00
[ [ "Zasavitsky", "E.", "" ] ]
0707.1125
Afif Siddiki Dr.
A. Siddiki, A. E. Kavruk, T. Ozturk, U. Atav M. Sahin and T. Hakioglu
The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)
EP2DS-17 Proceedings, 6 Pages, 2 Figures
null
10.1016/j.physe.2007.09.063
null
cond-mat.mes-hall
null
The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 08:17:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Siddiki", "A.", "" ], [ "Kavruk", "A. E.", "" ], [ "Ozturk", "T.", "" ], [ "Sahin", "U. Atav M.", "" ], [ "Hakioglu", "T.", "" ] ]
0707.1126
Huanyang Chen
Huanyang Chen, Xunya Jiang and C. T. Chan
On some constraints that limit the design of an invisibility cloak
null
Phys. Rev. B 76, 241104(R) (2007)
10.1103/PhysRevB.76.241104
null
physics.optics
null
Using the idea of transformation medium, a cloak can be designed to make a domain invisible for one target frequency. In this article, we examine the possibility to extend the bandwidth of such a cloak. We obtained a constraint of the band width, which is summarized as a simple inequality that states that limits the bandwidth of operation. The constraint originates from causality requirements. We suggest a simple strategy that can get around the constraint.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 08:17:05 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 02:24:27 GMT" } ]
2011-11-10T00:00:00
[ [ "Chen", "Huanyang", "" ], [ "Jiang", "Xunya", "" ], [ "Chan", "C. T.", "" ] ]
0707.1127
Xinping Xu
BES Collaboration: M. Ablikim, et al
Measurements of $J/\psi$ and $\psi(2S)$ decays into $\Lambda \bar{\Lambda}\pi^0$ and $\Lambda \bar{\Lambda}\eta$
7 pages, 10 figures. Phys.Rev.D comments considered
Phys.Rev.D76:092003,2007
10.1103/PhysRevD.76.092003
null
hep-ex
null
Using 58 million $J/\psi$ and 14 million $\psi(2S)$ events collected by the BESII detector at the BEPC, branching fractions or upper limits for the decays $J/\psi$ and $\psi(2S) \to \Lambda \bar{\Lambda}\pi^0$ and $\Lambda \bar{\Lambda}\eta$ are measured. For the isospin violating decays, the upper limits are determined to be ${\cal B}(J/\psi \to \Lambda \bar{\Lambda}\pi^0)<6.4\times 10^{-5}$ and ${\cal B}(\psi(2S) \to \Lambda \bar{\Lambda}\pi^0)<4.9\times 10^{-5}$ at the 90% confidence level. The isospin conserving process $J/\psi \to \Lambda \bar{\Lambda}\eta$ is observed for the first time, and its branching fraction is measured to be ${\cal B}(J/\psi \to \Lambda \bar{\Lambda}\eta)=(2.62\pm 0.60\pm 0.44)\times 10^{-4}$, where the first error is statistical and the second one is systematic. No $\Lambda \bar{\Lambda}\eta$ signal is observed in $\psi(2S)$ decays, and ${\cal B}(\psi(2S) \to \Lambda \bar{\Lambda}\eta)<1.2\times 10^{-4}$ is set at the 90% confidence level. Branching fractions of $J/\psi$ decays into $\Sigma^+ \pi^- bar{\Lambda}$ and $\bar{\Sigma}^- \pi^+ \Lambda$ are also reported, and the sum of these branching fractions is determined to be ${\cal B}(J/\psi \to \Sigma^+\pi^- \bar{\Lambda} + c.c.)=(1.52\pm 0.08\pm 0.16)\times 10^{-3}$.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 08:30:03 GMT" }, { "version": "v2", "created": "Sat, 1 Sep 2007 14:52:58 GMT" } ]
2008-11-26T00:00:00
[ [ "BES Collaboration", "", "" ], [ "Ablikim", "M.", "" ] ]
0707.1128
Tiberiu Harko
T. Harko, K. S. Cheng
The virial theorem and the dynamics of clusters of galaxies in the brane world models
29 pages, no figures, accepted for publication in PRD
Phys.Rev.D76:044013,2007
10.1103/PhysRevD.76.044013
null
gr-qc astro-ph hep-th
null
A version of the virial theorem, which takes into account the effects of the non-compact extra-dimensions, is derived in the framework of the brane world models. In the braneworld scenario, the four dimensional effective Einstein equation has some extra terms, called dark radiation and dark pressure, respectively, which arise from the embedding of the 3-brane in the bulk. To derive the generalized virial theorem we use a method based on the collisionless Boltzmann equation. The dark radiation term generates an equivalent mass term (the dark mass), which gives an effective contribution to the gravitational energy. This term may account for the well-known virial theorem mass discrepancy in actual clusters of galaxies. An approximate solution of the vacuum field equations on the brane, corresponding to weak gravitational fields, is also obtained, and the expressions for the dark radiation and dark mass are derived. The qualitative behavior of the dark mass is similar to that of the observed virial mass in clusters of galaxies. We compare our model with the observational data for galaxy clusters, and we express all the physical parameters of the model in terms of observable quantities. In particular, we predict that the dark mass must extend far beyond the presently considered virial radius. The behavior of the galaxy cluster velocity dispersion in brane world models is also considered. Therefore the study of the matter distribution and velocity dispersion at the extragalactic scales could provide an efficient method for testing the multi-dimensional physical models.
[ { "version": "v1", "created": "Sun, 8 Jul 2007 09:08:45 GMT" }, { "version": "v2", "created": "Sat, 11 Aug 2007 02:15:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Harko", "T.", "" ], [ "Cheng", "K. S.", "" ] ]
0707.1129
Andrei Khrennikov
Andrei Khrennikov
The Quantum-Like Brain Operating on Subcognitive and Cognitive Time Scales
null
J. Consciousness Studies 15, N 7, 39-77 (2008)
null
null
physics.gen-ph
null
We propose a {\it quantum-like} (QL) model of the functioning of the brain. It should be sharply distinguished from the reductionist {\it quantum} model. By the latter cognition is created by {\it physical quantum processes} in the brain. The crucial point of our modelling is that discovery of the mathematical formalism of quantum mechanics (QM) was in fact discovery of a very general formalism describing {\it consistent processing of incomplete information} about contexts (physical, mental, economic, social). The brain is an advanced device which developed the ability to create a QL representation of contexts. Therefore its functioning can also be described by the mathematical formalism of QM. The possibility of such a description has nothing to do with composing of the brain of quantum systems (photons, electrons, protons,...). Moreover, we shall propose a model in that the QL representation is based on conventional neurophysiological model of the functioning of the brain. The brain uses the QL rule (given by von Neumann trace formula) for calculation of {\it approximative averages} for mental functions, but the physical basis of mental functions is given by neural networks in the brain. The QL representation has a {\it temporal basis.} Any cognitive process is based on (at least) two time scales: subcognitive time scale (which is very fine) and cognitive time scale (which is essentially coarser).
[ { "version": "v1", "created": "Sun, 8 Jul 2007 09:03:35 GMT" } ]
2010-11-30T00:00:00
[ [ "Khrennikov", "Andrei", "" ] ]