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801.1873
Marius Junge
Marius Junge, Tao Mei
Noncommutative Riesz transforms -- a probabilistic approach
null
null
null
null
math.OA math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For $2\le p<\infty$ we show the lower estimates \[ \|A^{\frac 12}x\|_p \kl c(p)\max\{\pl \|\Gamma(x,x)^{{1/2}}\|_p,\pl \|\Gamma(x^*,x^*)^{{1/2}}\|_p\} \] for the Riesz transform associated to a semigroup $(T_t)$ of completely positive maps on a von Neumann algebra with negative generator $T_t=e^{-tA}$, and gradient form \[ 2\Gamma(x,y)\lel Ax^*y+x^*Ay-A(x^*y)\pl .\] As additional hypothesis we assume that $\Gamma^2\gl 0$ and the existence of a Markov dilation for $(T_t)$. We give applications to quantum metric spaces and show the equivalence of semigroup Hardy norms and martingale Hardy norms derived from the Markov dilation. In the limiting case we obtain a viable definition of BMO spaces for general semigroups of completely positive maps which can be used as an endpoint for interpolation. For torsion free ordered groups we construct a connection between Riesz transforms and the Hilbert transform induced by the order.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 01:37:17 GMT" }, { "version": "v2", "created": "Fri, 13 Jun 2008 07:39:09 GMT" } ]
2008-06-13T00:00:00
[ [ "Junge", "Marius", "" ], [ "Mei", "Tao", "" ] ]
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801.1874
Sebastian Blatt
S. Blatt, A. D. Ludlow, G. K. Campbell, J. W. Thomsen, T. Zelevinsky, M. M. Boyd, J. Ye, X. Baillard, M. Fouch\'e, R. Le Targat, A. Brusch, P. Lemonde, M. Takamoto, F.-L. Hong, H. Katori, V. V. Flambaum
New Limits on Coupling of Fundamental Constants to Gravity Using $^{87}$Sr Optical Lattice Clocks
Published version. 4 pages, 4 figures
Phys.Rev.Lett.100:140801,2008
10.1103/PhysRevLett.100.140801
null
physics.atom-ph physics.gen-ph
null
The $^1\mathrm{S}_0$-$^3\mathrm{P}_0$ clock transition frequency $\nu_\text{Sr}$ in neutral $^{87}$Sr has been measured relative to the Cs standard by three independent laboratories in Boulder, Paris, and Tokyo over the last three years. The agreement on the $1\times 10^{-15}$ level makes $\nu_\text{Sr}$ the best agreed-upon optical atomic frequency. We combine periodic variations in the $^{87}$Sr clock frequency with $^{199}$Hg$^+$ and H-maser data to test Local Position Invariance by obtaining the strongest limits to date on gravitational-coupling coefficients for the fine-structure constant $\alpha$, electron-proton mass ratio $\mu$ and light quark mass. Furthermore, after $^{199}$Hg$^+$, $^{171}$Yb$^+$ and H, we add $^{87}$Sr as the fourth optical atomic clock species to enhance constraints on yearly drifts of $\alpha$ and $\mu$.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 02:25:21 GMT" }, { "version": "v2", "created": "Wed, 6 Feb 2008 22:18:19 GMT" }, { "version": "v3", "created": "Tue, 29 Apr 2008 05:17:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Blatt", "S.", "" ], [ "Ludlow", "A. D.", "" ], [ "Campbell", "G. K.", "" ], [ "Thomsen", "J. W.", "" ], [ "Zelevinsky", "T.", "" ], [ "Boyd", "M. M.", "" ], [ "Ye", "J.", "" ], [ "Baillard", "X.", "" ], [ "Fouché", "M.", "" ], [ "Targat", "R. Le", "" ], [ "Brusch", "A.", "" ], [ "Lemonde", "P.", "" ], [ "Takamoto", "M.", "" ], [ "Hong", "F. -L.", "" ], [ "Katori", "H.", "" ], [ "Flambaum", "V. V.", "" ] ]
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801.1875
Rennan Barkana
Tom Broadhurst (1), Rennan Barkana (1 and 2) ((1) Tel Aviv University (2) ICRR, University of Tokyo)
Large Einstein Radii: A Problem for LambdaCDM
9 pages, 5 figures, accepted by MNRAS
null
10.1111/j.1365-2966.2008.13852.x
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Einstein radius of a cluster provides a relatively model-independent measure of the mass density of a cluster within a projected radius of ~ 150 kpc, large enough to be relatively unaffected by gas physics. We show that the observed Einstein radii of four well-studied massive clusters, for which reliable virial masses are measured, lie well beyond the predicted distribution of Einstein radii in the standard LambdaCDM model. Based on large samples of numerically simulated cluster-sized objects with virial masses ~ 1e15 solar, the predicted Einstein radii are only 15-25'', a factor of two below the observed Einstein radii of these four clusters. This is because the predicted mass profile is too shallow to exceed the critical surface density for lensing at a sizable projected radius. After carefully accounting for measurement errors as well as the biases inherent in the selection of clusters and the projection of mass measured by lensing, we find that the theoretical predictions are excluded at a 4-sigma significance. Since most of the free parameters of the LambdaCDM model now rest on firm empirical ground, this discrepancy may point to an additional mechanism that promotes the collapse of clusters at an earlier time thereby enhancing their central mass density.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 06:12:59 GMT" }, { "version": "v2", "created": "Mon, 18 Feb 2008 12:36:58 GMT" }, { "version": "v3", "created": "Tue, 19 Aug 2008 19:03:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Broadhurst", "Tom", "", "1 and 2" ], [ "Barkana", "Rennan", "", "1 and 2" ] ]
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801.1876
Anant Godbole
Torey Burton, Anant P. Godbole, Brett M. Kindle
The Lexicographic First Occurrence of a I-II-III pattern
null
Lecture Notes of the London Mathematical Society 376, 213-219, 2010
null
null
math.PR math.CO
null
Consider a random permutation $\pi\in{\cal S}_n$. In this paper, perhaps best classified as a contribution to discrete probability distribution theory, we study the {\it first} occurrence $X=X_n$ of a I-II-III-pattern, where "first" is interpreted in the lexicographic order induced by the 3-subsets of $[n]=\{1,2,...,n\}$. Of course if the permutation is I-II-III-avoiding then the first I-II-III-pattern never occurs, and thus $\e(X)=\infty$ for each $n$; to avoid this case, we also study the first occurrence of a I-II-III-pattern given a bijection $f:{\bf Z}^+\to{\bf Z}^+$.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 02:40:27 GMT" } ]
2012-04-12T00:00:00
[ [ "Burton", "Torey", "" ], [ "Godbole", "Anant P.", "" ], [ "Kindle", "Brett M.", "" ] ]
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801.1877
Dong-Hee Kim
Dong-Hee Kim and Adilson E. Motter
Resource allocation pattern in infrastructure networks
null
J. Phys. A: Math. Theor. 41 (2008) 224019
10.1088/1751-8113/41/22/224019
null
physics.soc-ph
null
Most infrastructure networks evolve and operate in a decentralized fashion, which may adversely impact the allocation of resources across the system. Here we investigate this question by focusing on the relation between capacity and load in various such networks. We find that, due to network traffic fluctuations, real systems tend to have larger unoccupied portions of the capacities--smaller load-to-capacity ratios--on network elements with smaller capacities, which contrasts with key assumptions involved in previous studies. This finding suggests that infrastructure networks have evolved to minimize local failures but not necessarily large-scale failures that can be caused by the cascading spread of local damage.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 03:14:46 GMT" }, { "version": "v2", "created": "Wed, 21 May 2008 20:44:17 GMT" } ]
2008-05-21T00:00:00
[ [ "Kim", "Dong-Hee", "" ], [ "Motter", "Adilson E.", "" ] ]
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801.1878
Marco Salluzzo
M. Salluzzo, G. Ghiringhelli, J. C. Cezar, N. B. Brookes, G. M. De Luca, F. Fracassi and R. Vaglio
Indirect electric field doping of the CuO2 planes of the cuprate NdBa2Cu3O7 superconductor
4 pages, 4 figures, Phys. Rev. Lett. accepted January (2008)
Phys. Rev. Lett. 100, 056810 (2008)
10.1103/PhysRevLett.100.056810
null
cond-mat.str-el cond-mat.supr-con
null
The mechanism of field-effect doping in the "123" high critical temperature superconductors (HTS) has been investigated by x-ray absorption spectroscopy in the presence of an electric field. We demonstrate that holes are created at the CuO chains of the charge reservoir and that field-effect doping of the CuO2 planes occurs by charge transfer, from the chains to the planes, of a fraction of the overall induced holes. The electronic properties of the charge reservoir and of the dielectric/HTS interface determine the electric field doping of the CuO2 planes
[ { "version": "v1", "created": "Mon, 14 Jan 2008 15:06:57 GMT" } ]
2008-12-07T00:00:00
[ [ "Salluzzo", "M.", "" ], [ "Ghiringhelli", "G.", "" ], [ "Cezar", "J. C.", "" ], [ "Brookes", "N. B.", "" ], [ "De Luca", "G. M.", "" ], [ "Fracassi", "F.", "" ], [ "Vaglio", "R.", "" ] ]
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801.1879
Yan Jing
Jing Yan, Lei Shan, Qiang Luo, Weihua Wang, Hai-Hu Wen
$S$-wave pairing symmetry in non-centrosymmetric superconductor Re$_3$W
12 pages, 5 figures
null
null
null
cond-mat.supr-con
null
The alloys of non-centrosymmetric superconductor, Re$_3$W, which were reported to have an $\alpha$-Mn structure [P. Greenfield and P. A. Beck, J. Metals, N. Y. \textbf{8}, 265 (1959)] with $T_\mathrm{c}=9 $K were prepared by arc melting. The ac susceptibility and low-temperature specific heat were measured on these alloys. It is found that there are two superconducting phases coexisting in the samples with $T_\mathrm{c1}\sim9 $K and $T_\mathrm{c2}\sim7 $K, both of which have a non-centrosymmetric structure as reported previously. By analyzing the specific heat data measured in various magnetic fields, we found that the absence of the inversion symmetry does not lead to the deviation from a s-wave pairing symmetry in Re$_3$W.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 04:56:45 GMT" } ]
2008-01-15T00:00:00
[ [ "Yan", "Jing", "" ], [ "Shan", "Lei", "" ], [ "Luo", "Qiang", "" ], [ "Wang", "Weihua", "" ], [ "Wen", "Hai-Hu", "" ] ]
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801.188
Yue Chongxing
Li Ding and Chong-Xing Yue
Top quark chromomagnetic dipole moment in the littlest Higgs model with T-parity
latex files, 12 pages, 3 figures
Commun.Theor.Phys.50:441-444,2008
10.1088/0253-6102/50/2/32
null
hep-ph
null
The littlest Higgs model with T-parity, which is called $LHT$ model, predicts the existence of the new particles, such as heavy top quark, heavy gauge bosons, and mirror fermions. We calculate the one-loop contributions of these new particles to the top quark chromomagnetic dipole moment $(CMDM)$ $\Delta K$. We find that the contribution of the $LHT$ model is one order of magnitude smaller than the standard model prediction value.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 06:45:47 GMT" } ]
2008-12-18T00:00:00
[ [ "Ding", "Li", "" ], [ "Yue", "Chong-Xing", "" ] ]
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801.1881
Iosif Khriplovich
I.B. Khriplovich
Spinning Relativistic Particles in External Fields
14 pages
Acta Physica Polonica B, Proceedigs Supplement, 1 (2008) 197
null
0801.1881v1
gr-qc hep-ph physics.acc-ph
null
The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin corrections to the equations of motion is built with the noncovariant description of spin and with the usual, ``naive'' definition of the coordinate of a relativistic particle.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 07:20:03 GMT" } ]
2008-08-12T00:00:00
[ [ "Khriplovich", "I. B.", "" ] ]
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801.1882
Muhammad Sharif
M. Sharif and Kanwal Nazir
Energy-Momentum Problem of Bell-Szekeres Metric in General Relativity and Teleparallel Gravity
21 pages, accepted for publication in Braz. J. Phys
Braz.J.Phys.38:156-166,2008
10.1590/S0103-97332008000100028
null
gr-qc
null
This paper is devoted to the investigation of the energy-momentum problem in two theories, i.e., General Relativity and teleparallel gravity. We use Einstein, Landau-Lifshitz, Bergmann-Thomson and M\"{o}ller's prescriptions to evaluate energy-momentum distribution of Bell-Szekeres metric in both the theories. It is shown that these prescriptions give the same energy-momentum density components in both General Relativity and teleparallel theory. M\"{o}ller's prescription yields constant energy in both the theories.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 07:45:57 GMT" } ]
2011-08-31T00:00:00
[ [ "Sharif", "M.", "" ], [ "Nazir", "Kanwal", "" ] ]
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801.1883
Andras Lorincz
Barnabas Poczos and Andras Lorincz
D-optimal Bayesian Interrogation for Parameter and Noise Identification of Recurrent Neural Networks
null
null
null
null
cs.NE cs.IT math.IT
null
We introduce a novel online Bayesian method for the identification of a family of noisy recurrent neural networks (RNNs). We develop Bayesian active learning technique in order to optimize the interrogating stimuli given past experiences. In particular, we consider the unknown parameters as stochastic variables and use the D-optimality principle, also known as `\emph{infomax method}', to choose optimal stimuli. We apply a greedy technique to maximize the information gain concerning network parameters at each time step. We also derive the D-optimal estimation of the additive noise that perturbs the dynamical system of the RNN. Our analytical results are approximation-free. The analytic derivation gives rise to attractive quadratic update rules.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 08:02:12 GMT" } ]
2008-01-15T00:00:00
[ [ "Poczos", "Barnabas", "" ], [ "Lorincz", "Andras", "" ] ]
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801.1884
Lorenzo Brandolese
Lorenzo Brandolese (ICJ), Grzegorz Karch
Far field asymptotics of solutions to convection equation with anomalous diffusion
16 pages
J. Evol. Equation 8 (2008) 307--326
null
null
math.AP math.PR
null
The initial value problem for the conservation law $\partial_t u+(-\Delta)^{\alpha/2}u+\nabla \cdot f(u)=0$ is studied for $\alpha\in (1,2)$ and under natural polynomial growth conditions imposed on the nonlinearity. We find the asymptotic expansion as $|x|\to \infty$ of solutions to this equation corresponding to initial conditions, decaying sufficiently fast at infinity.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 08:14:55 GMT" } ]
2009-07-17T00:00:00
[ [ "Brandolese", "Lorenzo", "", "ICJ" ], [ "Karch", "Grzegorz", "" ] ]
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801.1885
Takuma Tanaka
Takuma Tanaka, Takeshi Kaneko, Toshio Aoyagi
Recurrent infomax generates cell assemblies, avalanches, and simple cell-like selectivity
16 pages, 4 figures
null
null
null
q-bio.NC cond-mat.dis-nn
null
Through evolution, animals have acquired central nervous systems (CNSs), which are extremely efficient information processing devices that improve an animal's adaptability to various environments. It has been proposed that the process of information maximization (infomax), which maximizes the information transmission from the input to the output of a feedforward network, may provide an explanation of the stimulus selectivity of neurons in CNSs. However, CNSs contain not only feedforward but also recurrent synaptic connections, and little is known about information retention over time in such recurrent networks. Here, we propose a learning algorithm based on infomax in a recurrent network, which we call "recurrent infomax" (RI). RI maximizes information retention and thereby minimizes information loss in a network. We find that feeding in external inputs consisting of information obtained from photographs of natural scenes into an RI-based model of a recurrent network results in the appearance of Gabor-like selectivity quite similar tothat existing in simple cells of the primary visual cortex (V1). More importantly, we find that without external input, this network exhibits cell assembly-like and synfire chain-like spontaneous activity and a critical neuronal avalanche. RI provides a simple framework to explain a wide range of phenomena observed in in vivo and in vitro neuronal networks, and it should provide a novel understanding of experimental results for multineuronal activity and plasticity from an information-theoretic point of view.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 08:16:23 GMT" } ]
2008-01-15T00:00:00
[ [ "Tanaka", "Takuma", "" ], [ "Kaneko", "Takeshi", "" ], [ "Aoyagi", "Toshio", "" ] ]
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801.1886
Vadzim Piatrou
V.I. Kuvshinov, A.V. Kuzmin and V.A. Piatrou
Chaotic instantons in periodically perturbed double-well system
8 pages, 5 figures
null
null
null
nlin.CD
null
Kicked double-well system is investigated both analytically and numerically. Phenomenological formula for ground quasienergy splitting is obtained using resonances overlap criterion in the framework of chaotic instanton approach. Results of numerical calculations of quasienergy spectrum are in good agreement with the phenomenological formula.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 09:11:43 GMT" } ]
2008-01-15T00:00:00
[ [ "Kuvshinov", "V. I.", "" ], [ "Kuzmin", "A. V.", "" ], [ "Piatrou", "V. A.", "" ] ]
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801.1887
Lode Pollet
Lode Pollet, Corinna Kollath, Kris Van Houcke, Matthias Troyer
Temperature changes when adiabatically ramping up an optical lattice
18 pages, 24 figure
null
10.1088/1367-2630/10/6/065001
null
cond-mat.stat-mech
null
When atoms are loaded into an optical lattice, the process of gradually turning on the lattice is almost adiabatic. In this paper we investigate how the temperature changes when going from the gapless superfluid phase to the gapped Mott phase along isentropic lines. To do so we calculate the entropy in the single-band Bose-Hubbard model for various densities, interaction strengths and temperatures in one and two dimensions for homogeneous and trapped systems. Our theory is able to reproduce the experimentally observed visibilities and therefore strongly supports that current experiments remain in the quantum regime for all considered lattice depths with low temperatures and minimal heating.
[ { "version": "v1", "created": "Mon, 14 Jan 2008 19:25:48 GMT" } ]
2010-09-10T00:00:00
[ [ "Pollet", "Lode", "" ], [ "Kollath", "Corinna", "" ], [ "Van Houcke", "Kris", "" ], [ "Troyer", "Matthias", "" ] ]
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801.1888
Angelo Tartaglia
A. Tartaglia and N. Radicella
Effect of a possible cosmological time dependence of the gravitational parameter G on the peak luminosity of type Ia supernovae
9 pages
null
null
null
astro-ph
null
The cosmological expansion of the universe affects the behaviour of all physical systems and, in the case of gravitationally bound ones, could correspond to or mimic a time dependent Newton's constant. Here we discuss the case of a locally spherical mass distribution embedded in a generic Robertson Walker universe. Choosing the most appropriate metric tensor for the problem and assuming that the local time scale is much much lower than the cosmic one, we show that G is practically unaffected thus leaving the absolute magnitude of type Ia supernovae unaltered at all epochs.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 10:15:10 GMT" } ]
2008-01-15T00:00:00
[ [ "Tartaglia", "A.", "" ], [ "Radicella", "N.", "" ] ]
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801.1889
Masahisa Tsuchiizu
Y. Omori, M. Tsuchiizu, and Y. Suzumura
Possible Metastable State Triggered by Competition of Peierls State and Charge Ordered State
8 pages, 9 figures
J. Phys. Soc. Jpn. 76 (2007) 114709
10.1143/JPSJ.76.114709
null
cond-mat.str-el
null
We examine a Peierls ground state and its competing metastable state in the one-dimensional quarter-filled Peierls-Hubbard model with the nearest-neighbor repulsive interaction V and the electron-phonon interaction (\propto 1/K with K being the elastic constant). From the mean-field approach, we obtain the phase diagram for the ground state on the plane of parameters V and K. The coexistent state of the spin-density wave and the charge ordering is realized for large V and K. With decreasing K, it exhibits a first-order phase transition to the unconventional Peierls state which is described by the bond-centered charge-density-wave state. In the large region of the Peierls ground state in the phase diagram, there exists the metastable state where the energy takes a local minimum with respect to the lattice distortion. On the basis of the present calculation, we discuss the photoinduced phase observed in the (EDO-TTF)_{2}PF_{6} compound.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 19:06:40 GMT" } ]
2008-01-15T00:00:00
[ [ "Omori", "Y.", "" ], [ "Tsuchiizu", "M.", "" ], [ "Suzumura", "Y.", "" ] ]
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801.189
Jose Antonio Martins Simoes
Helder Chavez S. and J. A. Martins Simoes
A left-right SU(7) symmetric model with D-parity cosmic strings
9 pages
null
null
null
hep-th
null
Cosmic strings with the property of D-parity symmetry are studied in this paper. They are of a Z-2 type of strings that could appear in the spontaneous breaking of SU(7) and would present extraordinary properties in a background of ordinary and mirror neutrinos. Through the special embedding of the left-right symmetry in SU(7), with a minimal content of Higgs fields, based on two singlets and two doublets, it is possible to assure the topological stability of this type of cosmic strings. In their presence we could have a neutral flavor changing interaction between ordinary and mirror neutrinos as well as the formation of superconducting currents in the form of zero modes of neutrino mirrors that would show interesting effects.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 10:24:57 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 17:39:51 GMT" } ]
2008-02-22T00:00:00
[ [ "S.", "Helder Chavez", "" ], [ "Simoes", "J. A. Martins", "" ] ]
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801.1891
Masahisa Tsuchiizu
M. Tsuchiizu and Y. Suzumura
Peierls ground state and excitations in the electron-lattice correlated system (EDO-TTF)_{2}X
11 pages, 10 figures, to be published in Phys. Rev. B
Phys. Rev. B 77, 195128 (2008)
10.1103/PhysRevB.77.195128
null
cond-mat.str-el
null
We investigate the exotic Peierls state in the one-dimensional organic compound (EDO-TTF)_{2}X, wherein the Peierls transition is accompanied by the bending of molecules and also by a fourfold periodic array of charge disproportionation along the one-dimensional chain. Such a Peierls state, wherein the interplay between the electron correlation and the electron-phonon interaction takes an important role, is examined based on an extended Peierls-Holstein-Hubbard model that includes the alternation of the elastic energies for both the lattice distortion and the molecular deformation. The model reproduces the experimentally observed pattern of the charge disproportionation and there exists a metastable state wherein the energy takes a local minimum with respect to the lattice distortion and/or molecular deformation. Furthermore, we investigate the excited states for both the Peierls ground state and the metastable state by considering the soliton formation of electrons. It is shown that the soliton excitation from the metastable state costs energy that is much smaller than that of the Peierls state, where the former is followed only by the charge degree of freedom and the latter is followed by that of spin and charge. Based on these results, we discuss the exotic photoinduced phase found in (EDO-TTF)_{2}PF_{6}.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 18:09:43 GMT" }, { "version": "v2", "created": "Tue, 20 May 2008 00:50:14 GMT" } ]
2008-06-26T00:00:00
[ [ "Tsuchiizu", "M.", "" ], [ "Suzumura", "Y.", "" ] ]
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801.1892
Juha Pohjanpelto
Juha Pohjanpelto and Stephen C. Anco
Generalized Symmetries of Massless Free Fields on Minkowski Space
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 4:004,2008
10.3842/SIGMA.2008.004
null
math-ph gr-qc hep-th math.MP
null
A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral symmetries of order $2s$, and their higher-order extensions obtained by Lie differentiation with respect to conformal Killing vectors. In particular, the results yield a complete classification of generalized symmetries of the Dirac-Weyl neutrino equation, Maxwell's equations, and the linearized gravity equations.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 10:28:03 GMT" } ]
2008-12-19T00:00:00
[ [ "Pohjanpelto", "Juha", "" ], [ "Anco", "Stephen C.", "" ] ]
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801.1893
Mioara Mugur-Schachter
Mioara Mugur-Schachter
Infra-Mecanique Quantique
67 pages double spaced
null
null
null
quant-ph
null
A qualitative representation of what is called 'microstates' is constructed quite independently from the mathematical formalism of fundamental Quantum Mechanics, by taking into accont exclusively the constraints imposed by (a) the cognitive situation in which a human being places himself if he decides to construct knowledge concerning microstates; (b) the general requirements of human conceptualisation. The result, called infra quantum mechanics, offers a semantic structure of reference that will permit to develop a unified coherent treatment of all the interpretation problems raised by the formalism of fundamental Quantum Mechanics.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 10:35:16 GMT" } ]
2008-01-15T00:00:00
[ [ "Mugur-Schachter", "Mioara", "" ] ]
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801.1894
Eugene Terentjev
G. Feio, J. L. Figueirinhas, A. R. Tajbakhsh, E. M. Terentjev
Critical fluctuations and random-anisotropy glass transition in nematic elastomers
null
null
10.1103/PhysRevB.78.020201
null
cond-mat.dis-nn cond-mat.soft
null
We carry out a detailed deuterium NMR study of local nematic ordering in polydomain nematic elastomers. This system has a close analogy to the random-anisotropy spin glass. We find that, in spite of the quadrupolar nematic symmetry in 3-dimensions requiring a first-order transition, the order parameter in the quenched ``nematic glass'' emerges via a continuous phase transition. In addition, by a careful analysis of the NMR line shape, we deduce that the local director fluctuations grow in a critical manner around the transition point. This could be the experimental evidence for the Aizenman-Wehr theorem about the quenched impurities changing the order of discontinuous transition.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 10:39:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Feio", "G.", "" ], [ "Figueirinhas", "J. L.", "" ], [ "Tajbakhsh", "A. R.", "" ], [ "Terentjev", "E. M.", "" ] ]
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801.1895
Celestino Creatore
C. Creatore and A. L. Ivanov
Strong and weak coupling limits in optics of quantum well excitons
Published in Physical Review B. 29 pages, 12 figures
Phys. Rev. B 77, 075324 (2008)
10.1103/PhysRevB.77.075324
null
cond-mat.mes-hall cond-mat.other
null
A transition between the strong (coherent) and weak (incoherent) coupling limits of resonant interaction between quantum well (QW) excitons and bulk photons is analyzed and quantified as a function of the incoherent damping rate caused by exciton-phonon and exciton-exciton scattering. For confined QW polaritons, a second, anomalous, damping-induced dispersion branch arises and develops with increasing damping. In this case, the strong-weak coupling transition is attributed to a critical damping rate, when the intersection of the normal and damping-induced dispersion branches occurs. For the radiative states of QW excitons, i.e., for radiative QW polaritons, the transition is described as a qualitative change of the photoluminescence spectrum at grazing angles along the QW structure. Furthermore, we show that the radiative corrections to the QW exciton states with in-plane wavevector approaching the photon cone are universally scaled by an energy parameter rather than diverge. The strong-weak coupling transition rates are also proportional to the same energy parameter. The numerical evaluations are given for a GaAs single quantum well with realistic parameters.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 11:23:00 GMT" }, { "version": "v2", "created": "Tue, 4 Mar 2008 11:40:45 GMT" } ]
2008-03-04T00:00:00
[ [ "Creatore", "C.", "" ], [ "Ivanov", "A. L.", "" ] ]
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801.1896
Tao Zhou
Luo-Luo Jiang, Da-Yin Hua, Jun-Fang Zhu, Bing-Hong Wang, and Tao Zhou
Opinion dynamics on directed small-world networks
6 pages, 5 figures
null
10.1140/epjb/e2008-00342-3
null
physics.soc-ph
null
In this paper, we investigate the self-affirmation effect on formation of public opinion in a directed small-world social network. The system presents a non-equilibrium phase transition from a consensus state to a disordered state with coexistence of opinions. The dynamical behaviors are very sensitive to the density of long-range interactions and the strength of self-affirmation. When the long-range interactions are sparse and individual generally does not insist on his/her opinion, the system will display a continuous phase transition, in the opposite case with high self-affirmation strength and dense long-range interactions, the system does not display a phase transition. Between those two extreme cases, the system undergoes a discontinuous phase transition.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 11:22:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Jiang", "Luo-Luo", "" ], [ "Hua", "Da-Yin", "" ], [ "Zhu", "Jun-Fang", "" ], [ "Wang", "Bing-Hong", "" ], [ "Zhou", "Tao", "" ] ]
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801.1897
Fardin Kheirandish
Fardin Kheirandish, S. Javad Akhtarshenas and Hamidreza Mohammadi
The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
Two columns, 9 pages, 8 Figs
Phys. Rev. A 042309 (2008)
10.1103/PhysRevA.77.042309
null
quant-ph
null
The role of spin-orbit interaction on the ground state and thermal entanglement of a Heisenberg XYZ two-qubit system in the presence of an inhomogeneous magnetic field is investigated. For a certain value of spin-orbit parameter $D$, the ground state entanglement tends to vanish suddenly and when $D$ crosses its critical value $D_c$, the entanglement undergoes a revival. The maximum value of the entanglement occurs in the revival region. In finite temperatures there are revival regions in $D-T$ plane. In these regions, entanglement first increases with increasing temperature and then decreases and ultimately vanishes for temperatures above a critical value. This critical temperature is an increasing function of $D$, thus the nonzero entanglement can exist for larger temperatures. In addition, the amount of entanglement in the revival region depends on the spin-orbit parameter. Also, the entanglement teleportation via the quantum channel constructed by the above system is investigated and finally the influence of the spin-orbit interaction on the fidelity of teleportation and entanglement of replica state is studied.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 11:57:44 GMT" } ]
2012-07-12T00:00:00
[ [ "Kheirandish", "Fardin", "" ], [ "Akhtarshenas", "S. Javad", "" ], [ "Mohammadi", "Hamidreza", "" ] ]
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801.1898
Maggy Tomova
Maggy Tomova
Cut-disks for level spheres in link and tangle complements
18 pages, 10 figures. The main theorem has been modified to include an additional hypothesis
null
null
null
math.GT
null
Wu has shown that if a link or a knot $L$ in $S^3$ in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that $L \subset S^3$ is prime, then the thin sphere of lowest width also does not have any vertical cut-disks. We also prove the result for a specific kind of tangles in $S^2 \times [-1,1]$.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 12:29:33 GMT" }, { "version": "v2", "created": "Fri, 8 Feb 2008 17:37:39 GMT" }, { "version": "v3", "created": "Wed, 30 Apr 2008 13:38:28 GMT" } ]
2008-04-30T00:00:00
[ [ "Tomova", "Maggy", "" ] ]
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801.1899
Misha Verbitsky
Misha Verbitsky
Positive forms on hyperkahler manifolds
33 pages
Osaka J. Math. Volume 47, Number 2 (2010), 353-384
null
null
math.CV math.AG math.DG
null
Let $(M,I,J,K)$ be a hyperkaehler manifold, $\dim_\R M =4n$. We study positive, Dolbeault-closed $(2p,0)$-forms on $(M,I)$. These forms are quaternionic analogues of the positive $(p,p)$-forms. We construct an injective homomorphism mapping Dolbeault-closed $(2p,0)$-forms to closed $(n+p,n+p)$-forms, and positive $(2p,0)$-forms to positive $(n+p,n+p)$-forms. This construction is used to prove a hyperkaehler version of the classical Skoda-El Mir theorem, which says that a trivial extension of a closed, positive current over a pluripolar set is again closed. We also prove the hyperkaehler version of the Sibony's lemma, showing that a closed, positive $(2p,0)$-form defined outside of a compact complex subvariety $Z\subset (M,I)$, $\codim Z > 2p$ is locally integrable in a neighbourhood of $Z$. These results are used to prove polystability of derived direct images of certain coherent sheaves.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:38:25 GMT" } ]
2010-06-29T00:00:00
[ [ "Verbitsky", "Misha", "" ] ]
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801.19
Fardin Kheirandish
Fardin Kheirandish and Morteza Soltani
Equivalent approaches to electromagnetic field quantization in a linear dielectric
28 pages,
null
null
null
quant-ph
null
It is shown that the minimal coupling method is equivalent to the Huttner-Barnet and phenomenological approaches up to a canonical transformation.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:11:21 GMT" } ]
2008-01-15T00:00:00
[ [ "Kheirandish", "Fardin", "" ], [ "Soltani", "Morteza", "" ] ]
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801.1901
Thomas Walcher
Thomas Walcher
Hadron structure at small momentum transfer
7 pages, 9 figures. Contribution to the International School of Nuclear Physics, 29th Ccourse, "Quarks in Hadrons and Nuclei", Erice, Sicily, 16 - 24 September 2007
Prog.Part.Nucl.Phys.61:106-112,2008
10.1016/j.ppnp.2007.12.027
null
hep-ph
null
Giving three examples, the form factors of the nucleon, the polarisability of the charged pion and the interference of the $S_{11}(1535)$ with the $D_{13}(1520)$ excitation of the nucleon in the $\eta p$-decay channel, it is argued that the hadron structure at low momentum transfer is highly significant for studying QCD.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:15:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Walcher", "Thomas", "" ] ]
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801.1902
Fardin Kheirandish
Fardin Kheirandish and Morteza Soltani
Extension of the Huttner-Barnett model to a magnetodielectric medium
25 pages
Phys. Rev. A 78, 012102 (2008)
10.1103/PhysRevA.78.012102
null
quant-ph
null
The Huttner$-$Barnett model is extended to a magnetodielectric medium by adding a new matter field to this model. The eigenoperators for the coupled system are calculated and electromagnetic field is written in terms of these operators. The electric and magnetic susceptibility of the medium are explicitly derived and shown to satisfy the Kramers$-$Kronig relations. It is shown that the results obtained in this model are equivalent to the results obtained from the phenomenological methods.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:16:08 GMT" } ]
2012-07-12T00:00:00
[ [ "Kheirandish", "Fardin", "" ], [ "Soltani", "Morteza", "" ] ]
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801.1903
Sergey Pankratov
S.S. Pankratov (1), M. Baldo (2), U. Lombardo (2), E.E. Saperstein (1) and M.V. Zverev (1); ((1)RRC "Kurchatov Institute", Moscow, Russia, (2)INFN, Sezione di Catania, Catania, Italy)
The microscopic pairing gap in a slab of nuclear matter for the Argonne v18 NN-potential
20 pages, 8 figures
Nucl.Phys.A811:127-139,2008
10.1016/j.nuclphysa.2008.07.002
null
nucl-th
null
Ab initio gap equation for ^1S_0 pairing in a nuclear slab is solved for the Argonne v18 NN-potential. The gap function is compared in detail with the one found previously for the separable form of the Paris potential. The difference between the two gaps turned out to be about 10%. Dependence of the gap on the chemical potential mu is analyzed.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:36:52 GMT" } ]
2008-11-07T00:00:00
[ [ "Pankratov", "S. S.", "" ], [ "Baldo", "M.", "" ], [ "Lombardo", "U.", "" ], [ "Saperstein", "E. E.", "" ], [ "Zverev", "M. V.", "" ], [ ";", "", "" ] ]
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801.1904
Valentin Gutev
Valentin Gutev and Vesko Valov
Open maps having the Bula property
16 pages
Fund. Math. 205 (2009), no. 2, 91-104
10.4064/fm205-2-1
null
math.GN
null
Every open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed subsets of X so that their image by f is Y provided all fibers of f are infinite and C*-embedded in X. Applications are demonstrated for the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and for special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 13:38:47 GMT" } ]
2018-05-22T00:00:00
[ [ "Gutev", "Valentin", "" ], [ "Valov", "Vesko", "" ] ]
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801.1905
Pasquale Mazzotta
Pasquale Mazzotta (1 and 2) and Simona Giacintucci (2 and 3) ((1) Dipartimento di Fisica Universita' di Roma ``Tor Vergata'', (2) Harvard-Smithsonian Center for Astrophysics, (3) INAF - Istituto di Radioastronomia Bologna)
Do radio core-halos and cold fronts in non major merging clusters originate from the same gas sloshing?
4 pages inc. 6 figures (2color). Accepted for publication in ApJL
null
10.1086/529433
null
astro-ph
null
We show an interesting correlation between the surface brightness and temperature structure of the relaxed clusters RXJ1720.1+2638 and MS1455.0+2232, hosting a pair of cold fronts, and their central core--halo radio source. We discuss the possibility that the origin of this diffuse radio emission may be strictly connected with the gas sloshing mechanism suggested to explain the formation of cold fronts in non major merging clusters. We show that the radiative lifetime of the relativistic electrons is much shorter than the timescale on which they can be transported from the central galaxy up to the radius of the outermost cold front. This strongly indicates that the observed diffuse radio emission is likely produced by electrons re--accelerated via some kind of turbulence generated within the cluster volume limited by the cold fronts during the gas sloshing.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 14:44:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Mazzotta", "Pasquale", "", "1 and 2" ], [ "Giacintucci", "Simona", "", "2 and 3" ] ]
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801.1906
Pierre Fima
Pierre Fima, Leonid Vainerman (LMNO)
Twisting and Rieffel's deformation of locally compact quantum groups. Deformation of the Haar measure
null
null
10.1007/s00220-008-0559-5
null
math.OA
null
We develop the twisting construction for locally compact quantum groups. A new feature, in contrast to the previous work of M. Enock and the second author, is a non-trivial deformation of the Haar measure. Then we construct Rieffel's deformation of locally compact quantum groups and show that it is dual to the twisting. This allows to give new interesting concrete examples of locally compact quantum groups, in particular, deformations of the classical $az+b$ group and of the Woronowicz' quantum $az+b$ group.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 15:22:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Fima", "Pierre", "", "LMNO" ], [ "Vainerman", "Leonid", "", "LMNO" ] ]
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801.1907
Pierre Fima
Pierre Fima (LM-Besan\c{c}on), Leonid Vainerman (LMNO)
A locally compact quantum group of triangular matrices
null
null
null
null
math.OA
null
We construct a one parameter deformation of the group of $2\times 2$ upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is deformed in a non-trivial way. Also, we give a complete description of the dual $\cs$-algebra and the dual comultiplication.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 15:23:33 GMT" } ]
2008-01-15T00:00:00
[ [ "Fima", "Pierre", "", "LM-Besançon" ], [ "Vainerman", "Leonid", "", "LMNO" ] ]
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801.1908
David Bugg
D.V. Bugg (Queen Mary, University of London, UK)
Experimental disagreements with Extended Unitarity
24 pages, 12 figures. To be published in Euro. Phys. J C
Eur.Phys.J.C54:73-87,2008
10.1140/epjc/s10052-007-0515-0
null
hep-ex
null
In production processes, e.g. J/Psi -> omega-pi-pi or pbar-p -> 3pi, the sigma and fo(980) overlap in the same partial wave. The conjecture of Extended Unitarity (EU) states that the pi-pi pair should have the same phase variation as pi-pi elastic scattering. This is an extension of Watson's theorem beyond its original derivation, which stated only that the s-dependence of a single resonance should be universal. The prediction of EU is that the deep dip observed in pi-pi elastic scattering close to 1 GeV should also appear in production data. Four sets of data disagree with this prediction. All require different relative magnitudes of sigma and fo(980). That being so, a fresh conjecture is to rewrite the 2-body unitarity relation for production in terms of observed magnitudes. This leads to a prediction different to EU. Central production data from the AFS experiment fit naturally to this hypothesis.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 15:28:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Bugg", "D. V.", "", "Queen Mary, University of London, UK" ] ]
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801.1909
Louigi Addario-Berry
Louigi Addario-Berry, Nicolas Broutin, G\'abor Lugosi
Effective resistance of random trees
Published in at http://dx.doi.org/10.1214/08-AAP572 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2009, Vol. 19, No. 3, 1092-1107
10.1214/08-AAP572
IMS-AAP-AAP572
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the effective resistance $R_n$ and conductance $C_n$ between the root and leaves of a binary tree of height $n$. In this electrical network, the resistance of each edge $e$ at distance $d$ from the root is defined by $r_e=2^dX_e$ where the $X_e$ are i.i.d. positive random variables bounded away from zero and infinity. It is shown that $\mathbf{E}R_n=n\mathbf{E}X_e-(\operatorname {\mathbf{Var}}(X_e)/\mathbf{E}X_e)\ln n+O(1)$ and $\operatorname {\mathbf{Var}}(R_n)=O(1)$. Moreover, we establish sub-Gaussian tail bounds for $R_n$. We also discuss some possible extensions to supercritical Galton--Watson trees.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 15:46:46 GMT" }, { "version": "v2", "created": "Fri, 7 Aug 2009 12:16:03 GMT" } ]
2009-08-07T00:00:00
[ [ "Addario-Berry", "Louigi", "" ], [ "Broutin", "Nicolas", "" ], [ "Lugosi", "Gábor", "" ] ]
[ 0.0184189789, -0.0611814708, 0.0694422573, 0.0083382344, 0.0144305658, 0.0158762038, 0.0304616597, -0.0495647341, -0.1024337858, 0.0818850771, 0.0268991943, 0.0429819189, -0.0648988262, 0.0209875684, 0.0248469058, -0.1236020625, 0.1219499037, 0.033017341, 0.0755862221, 0.0911784619, -0.0525592715, -0.007441164, 0.0954121128, -0.04595064, 0.0302809551, -0.0508554839, 0.0697520375, 0.0478093177, 0.093192026, -0.1417758018, 0.0405036807, -0.0199549682, -0.0159794651, -0.0129462052, -0.0538500212, 0.0416395403, 0.0461055301, 0.0204583611, 0.0187416654, 0.1095587164, -0.0231560245, 0.0204970837, -0.1668679416, 0.0802845433, 0.0838986412, -0.0737275407, -0.0212586243, -0.0726949424, 0.0306681804, 0.0077315825, -0.1069772243, 0.0724367946, -0.0751731843, -0.0677384734, -0.1705853045, -0.0426205099, -0.0936050713, 0.0348760188, 0.0072346441, -0.100213699, 0.0182253662, -0.0844665691, -0.0027379999, -0.0508813001, -0.0603553914, 0.0136303026, -0.1051701754, -0.0568445548, 0.0699585602, 0.0454085246, -0.0885969624, -0.0314426273, 0.090042606, -0.0701134503, 0.0610782094, 0.0517073795, 0.0314426273, -0.03004862, -0.1138956323, 0.0439112596, 0.0719721243, 0.0445308164, 0.0933469161, -0.0773416385, 0.034540426, -0.0763606727, 0.025647169, -0.0675319508, -0.0973740518, -0.0882355571, 0.0283448324, -0.0209875684, 0.0072410982, 0.101349555, -0.0483256169, -0.0464669392, 0.0987164304, -0.0082543353, 0.0143402135, -0.0592195317, -0.0484030619, 0.0231560245, 0.0787872747, -0.1024854183, 0.1117271781, 0.0440403335, -0.0273638647, -0.0872545838, -0.1294878721, 0.0592195317, -0.0215554964, -0.0486353971, 0.0515008569, -0.026008578, 0.0749666616, -0.0705264881, -0.0432400703, -0.0885453373, 0.0356246531, 0.0095257228, 0.0288869478, -0.0366056226, 0.0019635509, -0.0195806511, 0.0792003199, 0.0119071528, 0.0381803364, -0.0844665691, 0.0465702005, -0.0017392833, 0.2044545412, 0.0136432098, -0.0701134503, 0.0638662279, -0.027234789, -0.0168442652, -0.0357279144, -0.0052888412, 0.0177865122, -0.0310295895, -0.0205358062, 0.1139988899, -0.0249372572, 0.0650537163, 0.0040626302, 0.0712493062, 0.0101452814, 0.0169733409, -0.1047055051, 0.0493582152, 0.0360376947, 0.0229882281, -0.0347469449, -0.0661379471, 0.0474479087, -0.1200912222, 0.0457183048, 0.1216401234, 0.0563282557, -0.1276291907, 0.0275703836, 0.0748117715, -0.0578255244, 0.0277510881, 0.1005234793, 0.0715590864, 0.004443401, 0.0272606052, -0.0332496762, 0.0383868553, 0.0561733656, -0.0433691442, 0.1085261181, -0.0016448974, -0.0373800695, -0.0444275588, -0.1606723517, -0.0237497687, 0.048480507, -0.0183157194, -0.0500035882, 0.0889067426, -0.0315458886, 0.0188836474, 0.0061084665, -0.0246016625, -0.0017796193, -0.0089061633, 0.001734443, -0.0696487799, -0.0243176986, 0.0993359908, 0.0736759156, 0.0170507859, -0.0612330996, -0.0743471012, 0.093863219, 0.0548826195, -0.0283448324, 0.0082478821, -0.0113134086, 0.0397808626, 0.0312361103, -0.0077380361, -0.006866781, -0.0050081033, -0.0222395938, -0.0108681004, -0.0041497559, 0.0091191372, 0.0141982315, 0.0455376022, -0.0285255387, -0.0636597052, -0.0041400753, 0.0631950349, -0.0104486076, 0.0317007788, 0.0834856033, 0.1173032075, -0.0552956574, -0.0579287857, -0.0148177911, 0.0923143178, 0.0598390922, 0.0417169854, 0.1328954399, -0.0536951311, 0.0689259619, -0.0045853835, 0.06185266, 0.0676868409, -0.0007413736, -0.1086293757, -0.005963257, -0.013514135, -0.0222266857, -0.0598390922, -0.083743751, -0.0496163666, -0.0230140425, 0.0371735506, 0.0099323085, -0.0000101659, 0.0009616075, 0.0151662929, -0.0896295607, -0.0397292338, -0.0765155628, 0.0339724943, -0.0821948498, 0.0112295104, 0.0096547976, -0.0217232946, -0.0749666616, -0.0590646416 ]
801.191
Francesco Mainardi
Francesco Mainardi, Sergei Rogosin
The origin of infinitely divisible distributions: from de Finetti's problem to Levy-Khintchine formula
26 pages
Mathematical Methods in Economics and Finance (MMEF), Vol 1 (2006), pp 37-55
null
null
math.HO math.PR
null
The article provides an historical survey of the early contributions on infinitely divisible distributions starting from the pioneering works of de Finetti in 1929 up to the canonical forms developed in the thirties by Kolmogorov, Levy and Khintchine. Particular attention is paid to single out the personal contributions of the above authors that were published in Italian, French or Russian during the period 1929-1938. In Appendix we report the translation from the Russian into English of a fundamental paper by Khintchine published in Moscow in 1937.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 17:21:00 GMT" } ]
2008-01-15T00:00:00
[ [ "Mainardi", "Francesco", "" ], [ "Rogosin", "Sergei", "" ] ]
[ 0.0319279656, -0.0398846157, 0.0334230065, -0.0158372838, -0.0024072672, -0.0597509071, -0.0025355492, -0.0409742221, -0.1462604851, 0.0797185525, 0.0803267062, -0.0891449079, -0.02865915, 0.0119603174, 0.084989205, 0.0515155196, 0.1200086102, 0.0627916679, 0.0161413606, 0.0754108131, -0.0245921351, -0.004171541, 0.0166734923, -0.0218174439, 0.0013596308, -0.0947196335, -0.0460168123, 0.0346899889, 0.0249215513, -0.0756642073, 0.0909186825, 0.0142662255, 0.0084381048, -0.0149123874, -0.0273414887, 0.0876752064, -0.0149884066, 0.084178336, -0.073789075, 0.0620821565, -0.108555086, -0.0143422447, -0.1586262435, 0.065224275, 0.0389470495, -0.0190554205, 0.1074401364, -0.0898037404, 0.0612206087, 0.0080073308, -0.092743136, 0.0678089187, 0.0632477775, -0.1097713858, 0.051718235, 0.0082480581, -0.0153685007, 0.0288111884, 0.0444710962, -0.080377385, 0.0272147898, -0.0520983301, 0.012745847, -0.0052643134, -0.1531528831, 0.0637545735, -0.078400895, 0.0531625971, 0.0653256327, 0.0976083502, -0.0638052523, 0.0062208856, 0.095682539, 0.0644640848, -0.0541255027, -0.0626396313, -0.0871684179, 0.020018328, -0.1014093012, 0.0888915136, 0.0638052523, 0.009065262, -0.0882326812, 0.069684051, 0.0254156739, -0.0678089187, 0.0675555244, 0.082860671, -0.0962906927, -0.0066453246, -0.1247724593, -0.0251749475, -0.04644759, 0.0022061337, 0.0988753363, -0.0075955619, 0.1507202685, 0.069329299, -0.0546829775, -0.022286227, -0.0294193402, 0.1340974569, 0.0582305267, 0.0148743773, 0.1162583381, 0.0862561837, -0.0121757044, -0.0587373227, -0.0827593133, -0.0000629037, 0.0043425835, -0.0745492652, -0.0640586466, -0.0166988336, 0.0170409176, -0.036489103, -0.0659337863, 0.0385162756, -0.0710523948, -0.0013849705, -0.1078455746, -0.0777420625, 0.0300528314, 0.0360076502, 0.093706049, -0.0740424693, 0.0194735248, -0.1091632321, 0.0189287234, -0.0432294533, 0.1889324635, 0.0023059086, -0.069329299, 0.0000412512, -0.0243894178, -0.0433561504, -0.0072661461, 0.0564567521, 0.0562033542, -0.0409995615, -0.0118272845, -0.0160653424, 0.0416330546, -0.0562033542, -0.0150897652, 0.0529091991, -0.0771339089, -0.0515661985, 0.0796171948, -0.1237588748, -0.0018798857, -0.0750560611, 0.0272654686, 0.0408982038, -0.002169708, -0.0235405397, 0.0383388996, -0.0104082637, 0.1122039929, -0.0262518823, 0.0182952303, 0.1299417466, -0.1024735644, -0.0435335264, 0.0493109711, -0.0125177894, -0.0773873106, -0.0683663934, -0.0584839247, -0.0495897047, -0.0050584287, -0.0813909695, -0.0141521972, -0.0279242992, 0.0516422167, 0.051718235, -0.0780461356, -0.0842290148, 0.0129295588, -0.0837728977, 0.0260491651, 0.0975069925, 0.0076779155, -0.0966961235, 0.0064647794, -0.0282537155, -0.0261505246, 0.0338537805, 0.1282186508, 0.0155585483, -0.0243007299, 0.0605110973, 0.001160873, 0.1094673127, 0.0270120725, -0.0014958315, 0.0203224029, -0.0179151371, 0.0029805771, -0.0034937051, 0.0016534125, 0.0372492932, -0.0461435132, 0.0018687996, 0.0187260062, -0.0080326712, 0.061676722, -0.0479679666, -0.0820498019, -0.051718235, 0.0235912185, -0.0005127321, 0.0364130847, 0.00477019, -0.0502992161, 0.0434828475, -0.0295206979, 0.0205504596, 0.0051756245, 0.1271037161, 0.0506032929, -0.0290899239, 0.0506286323, 0.0398339368, 0.0761203244, -0.0181178544, 0.0435842089, 0.0078109489, -0.0195622146, 0.0738904327, 0.0986219421, -0.0885367543, -0.0828099921, -0.014798359, -0.0508313477, 0.0266826563, -0.057064902, 0.0450285673, -0.0580784902, -0.1007504687, -0.0800733119, 0.0725727752, -0.069684051, 0.0821511596, -0.0437109061, 0.0090082474, -0.0560513176, 0.0686197877, -0.0306103043, -0.0668966919, -0.038972389, -0.0709003583, 0.0658831075, -0.0499697998, -0.0386176333, -0.0576223768 ]
801.1911
Henri Gouin
Henri Gouin (MSNMGP, LMMT)
The wetting problem of fluids on solid surfaces. Part 2: the contact angle hysteresis
Preprint 26 pages
Continuum Mechanics and Thermodynamics 15, 6 (2003) 597-611
10.1007/s00161-003-0137-1
null
physics.class-ph
null
In part 1, we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and a Young-Dupr\'e equation for the apparent dynamic contact angle taking into account the line celerity was proposed. In this paper we consider a form of the interfacial energy of a solid surface in which many small oscillations are superposed on a slowly varying function. For a capillary tube, a scaling analysis of the microscopic law associated with the Young-Dupr\'e dynamic equation yields a macroscopic equation for the motion of the contact line. The value of the deduced apparent dynamic contact angle yields for the average response of the line motion a phenomenon akin to the stick-slip motion of the contact line on the solid wall. The contact angle hysteresis phenomenon and the modelling of experimentally well-known results expressing the dependence of the apparent dynamic contact angle on the celerity of the line are obtained. Furthermore, a qualitative explanation of the maximum speed of wetting (and dewetting) can be given.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 17:27:53 GMT" } ]
2008-01-15T00:00:00
[ [ "Gouin", "Henri", "", "MSNMGP, LMMT" ] ]
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801.1912
Andrew Brooke-Taylor
Andrew D. Brooke-Taylor and Sy-David Friedman
Large cardinals and gap-1 morasses
49 pages
Annals of Pure and Applied Logic 159, no. 1-2 (2009), pp 71-99
10.1016/j.apal.2008.10.007
null
math.LO
null
We present a new partial order for directly forcing morasses to exist that enjoys a significant homogeneity property. We then use this forcing in a reverse Easton iteration to obtain an extension universe with morasses at every regular uncountable cardinal, while preserving all n-superstrong (0<n<omega+1), hyperstrong and 1-extendible cardinals. In the latter case, a preliminary forcing to make the GCH hold is required. Our forcing yields morasses that satisfy an extra property related to the homogeneity of the partial order; we refer to them as mangroves and prove that their existence is equivalent to the existence of morasses. Finally, we exhibit a partial order that forces universal morasses to exist at every regular uncountable cardinal, and use this to show that universal morasses are consistent with n-superstrong, hyperstrong, and 1-extendible cardinals. This all contributes to the second author's outer model programme, the aim of which is to show that L-like principles can hold in outer models which nevertheless contain large cardinals.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 18:04:52 GMT" } ]
2012-02-28T00:00:00
[ [ "Brooke-Taylor", "Andrew D.", "" ], [ "Friedman", "Sy-David", "" ] ]
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801.1913
Yuri A. Rylov
Yuri A. Rylov
Geometrical dynamics: spin as a result of rotation with superluminal speed
38 pages, 1 figure, New version of stabilizing vector
null
null
null
physics.gen-ph
null
Dynamics is considered as a corollary of the space-time geometry. Evolution of a particle in the space-time is described as a chain of connected equivalent geometrical objects. Space-time geometry is determined uniquely by the world function $\sigma $. Proper modification of the Minkowskian world function for large space-time interval leads to wobbling of the chain, consisted of timelike straight segments. Statistical description of the stochastic world chain coincides with the quantum description by means of the Schr\"{o}dinger equation. Proper modification of the Minkowskian world function for small space-time interval may lead to appearance of a world chain, having a shape of a helix with timelike axis. Links of the chain are spacelike straight segments. Such a world chain describes a spatial evolution of a particle. In other words, the helical world chain describes the particle rotation with superluminal velocity. The helical world chain associated with the classical Dirac particle, whose world line is a helix. Length of world chain link cannot be arbitrary. It is determined by the space-time geometry and, in particular, by the elementary length. There exists some discrimination mechanism, which can discriminate some world chains.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 18:08:18 GMT" }, { "version": "v2", "created": "Thu, 17 Jan 2008 09:10:11 GMT" }, { "version": "v3", "created": "Sat, 8 Mar 2008 15:48:00 GMT" }, { "version": "v4", "created": "Wed, 28 May 2008 13:55:09 GMT" } ]
2008-05-28T00:00:00
[ [ "Rylov", "Yuri A.", "" ] ]
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801.1914
Andrea Rapisarda
A. Pluchino, A. Rapisarda and C. Tsallis
A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
11 pages, 8 figures. Text and figures added, Physica A in press
PHYSICA A 387 (2008) 3121
10.1016/j.physa.2008.01.112
null
cond-mat.stat-mech astro-ph nucl-th physics.plasm-ph
null
We give a closer look at the Central Limit Theorem (CLT) behavior in quasi-stationary states of the Hamiltonian Mean Field model, a paradigmatic one for long-range-interacting classical many-body systems. We present new calculations which show that, following their time evolution, we can observe and classify three kinds of long-standing quasi-stationary states (QSS) with different correlations. The frequency of occurrence of each class depends on the size of the system. The different microsocopic nature of the QSS leads to different dynamical correlations and therefore to different results for the observed CLT behavior.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 14:11:20 GMT" }, { "version": "v2", "created": "Fri, 18 Jan 2008 18:53:06 GMT" } ]
2008-03-17T00:00:00
[ [ "Pluchino", "A.", "" ], [ "Rapisarda", "A.", "" ], [ "Tsallis", "C.", "" ] ]
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801.1915
Chiu Fan Lee
Chiu Fan Lee
Dynamical density functional theory with hydrodynamic interaction
This paper has been withdrawn
null
null
null
cond-mat.soft cond-mat.stat-mech
null
This paper has been withdrawn by the author due to the incorrect application of the divergence theorem to Eqs 7, 8 and 9.
[ { "version": "v1", "created": "Mon, 14 Jan 2008 18:41:20 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 22:22:20 GMT" }, { "version": "v3", "created": "Wed, 16 Jan 2008 16:54:56 GMT" }, { "version": "v4", "created": "Thu, 17 Jan 2008 15:21:49 GMT" } ]
2008-01-17T00:00:00
[ [ "Lee", "Chiu Fan", "" ] ]
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801.1916
Konstantinos Lagoudakis G.
K. G. Lagoudakis, M. Wouters, M. Richard, A. Baas, I. Carusotto, R. Andre, Le Si Dang, B. Deveaud-Pledran
Quantised Vortices in an Exciton-Polariton Fluid
14 pages, 4 figures
Nature Physics 4, 706-710 (2008)
10.1038/nphys1051
null
cond-mat.other
null
One of the most striking quantum effects in a low temperature interacting Bose gas is superfluidity. First observed in liquid 4He, this phenomenon has been intensively studied in a variety of systems for its amazing features such as the persistence of superflows and the quantization of the angular momentum of vortices. The achievement of Bose-Einstein condensation (BEC) in dilute atomic gases provided an exceptional opportunity to observe and study superfluidity in an extremely clean and controlled environment. In the solid state, Bose-Einstein condensation of exciton polaritons has now been reported several times. Polaritons are strongly interacting light-matter quasi-particles, naturally occurring in semiconductor microcavities in the strong coupling regime and constitute a very interesting example of composite bosons. Even though pioneering experiments have recently addressed the propagation of a fluid of coherent polaritons, still no conclusive evidence is yet available of its superfluid nature. In the present Letter, we report the observation of spontaneous formation of pinned quantised vortices in the Bose-condensed phase of a polariton fluid by means of phase and amplitude imaging. Theoretical insight into the possible origin of such vortices is presented in terms of a generalised Gross-Pitaevskii equation. The implications of our observations concerning the superfluid nature of the non-equilibrium polariton fluid are finally discussed.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 19:14:41 GMT" } ]
2009-06-16T00:00:00
[ [ "Lagoudakis", "K. G.", "" ], [ "Wouters", "M.", "" ], [ "Richard", "M.", "" ], [ "Baas", "A.", "" ], [ "Carusotto", "I.", "" ], [ "Andre", "R.", "" ], [ "Dang", "Le Si", "" ], [ "Deveaud-Pledran", "B.", "" ] ]
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801.1917
Zoltan Nagy
Zoltan Nagy and Davison E. Soper
Parton showers with quantum interference: leading color, spin averaged
35 pages, 13 figures
JHEP 0803:030,2008
10.1088/1126-6708/2008/03/030
CERN-PH-TH/2007-261
hep-ph
null
We have previously described a mathematical formulation for a parton shower based on the approximation of strongly ordered virtualities of successive parton splittings. Quantum interference, including interference among different color and spin states, is included. In this paper, we add the further approximations of taking only the leading color limit and averaging over spins, as is common in parton shower Monte Carlo event generators. Soft gluon interference effects remain with this approximation. We find that the leading color, spin averaged shower in our formalism is similar to that in other shower formulations. We discuss some of the differences.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 19:22:04 GMT" } ]
2009-04-30T00:00:00
[ [ "Nagy", "Zoltan", "" ], [ "Soper", "Davison E.", "" ] ]
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801.1918
D Viswanath
D. Viswanath, P. Cvitanovic
Stable Manifolds and the Transition to Turbulence in Pipe Flow
null
Journal of Fluid Mechanics, vol. 627 (2009), p. 215-233
10.1017/S0022112009006041
null
physics.flu-dyn
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a numerical method for finding certain special disturbances of the laminar flow in a short pipe. These special disturbances cause the disturbed velocity field to approach the lower-branch solution by evolving along its stable manifold. If the disturbance were slightly smaller, the flow would relaminarize, and if slightly larger, it would transition to a turbulent state.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 20:04:49 GMT" }, { "version": "v2", "created": "Wed, 24 Dec 2008 20:23:20 GMT" } ]
2015-05-13T00:00:00
[ [ "Viswanath", "D.", "" ], [ "Cvitanovic", "P.", "" ] ]
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801.1919
Helge Glockner
Helge Glockner
Solutions to open problems in Neeb's recent survey on infinite-dimensional Lie groups
23 pages
null
null
null
math.GR math.DG
null
We solve three open problems concerning infinite-dimensional Lie groups posed in a recent survey article by K.-H. Neeb: (1) There exists a subgroup of some infinite-dimensional Lie group G which does not admit an initial Lie subgroup structure; (2) The pathology cannot occur if G is a direct limit of an ascending sequence of finite-dimensional Lie groups; (3) Every such direct limit group is a ``topological group with Lie algebra'' in the sense of Hofmann and Morris. Moreover, we prove a version of Borel's Theorem announced in the survey, ensuring the existence of compactly supported smooth diffeomorphisms with given Taylor series around a fixed point p (provided the tangent map at p has positive determinant).
[ { "version": "v1", "created": "Sat, 12 Jan 2008 23:04:11 GMT" } ]
2008-01-15T00:00:00
[ [ "Glockner", "Helge", "" ] ]
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801.192
L. C. Garcia de Andrade
Garcia de Andrade
Testing a Riemannian twisted solar loop model from EUV data and magnetic topology
Departamento de Fisica Teorica-IF-UERJ
null
null
null
astro-ph
null
Compact Riemannian solar twisted magnetic flux tube surfaces model are tested against solar extreme ultraviolet (EUV) lines observations, allowing us to compute the diameter and height of solar plasma loops. The relation between magnetic and torsion energies is found for a nonplanar solar twisted (torsioned) loop to be $10^{9}$, which shows that the contribution of torsion energy to the solar loop is extremely weaker than the magnetic energy contribution. In this case solar loops of up $5000 km$ in diameter can be reached. The height of $220.000 km$ is used to obtain an estimate for torsion based on the Riemannian flux tube surface, which yields ${\tau}_{0}=0.9{\times} 10^{-8} m^{-1}$ which coincides with one of the data of $(0.9{\pm}0.4){\times}10^{-8}m^{-1}$ obtained by Lopez-Fuentes et al (2003). This result tells us that the Riemannian flux tube model for plasma solar loops is consistent with experimental results in solar physics. These results are obtained for a homogeneous twisted solar loop. By making use of Moffatt-Ricca theorem for the bounds on torsional energy of unknotted vortex filaments, applied to magnetic topology, one places bounds on the lengths of EUV solar loops. New results as the vorticity of the plasma flow along the tube is also computed in terms of the flux tube twist.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 20:37:06 GMT" } ]
2008-01-15T00:00:00
[ [ "de Andrade", "Garcia", "" ] ]
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801.1921
Angelo Tartaglia
A. Tartaglia, M. Capone, V. Cardone, N. Radicella
Fitting the luminosity data from type Ia supernovae in the frame of the Cosmic Defect theory
13 pages, 2 figures; Modified to improve the visibility of figures
Int.J.Mod.Phys.D18:501-512,2009
10.1142/S0218271809014534
null
gr-qc
null
The Cosmic Defect (CD) theory is reviewed and used to fit the data for the accelerated expansion of the universe, obtained from the apparent luminosity of 192 SnIa's. The fit from CD is compared with the one obtained by means of $\Lambda $CDM. The results from both theories are in good agreement and the fits are satisfactory. The correspondence between both approaches is discussed and interpreted.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 21:58:24 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 15:45:26 GMT" } ]
2009-05-12T00:00:00
[ [ "Tartaglia", "A.", "" ], [ "Capone", "M.", "" ], [ "Cardone", "V.", "" ], [ "Radicella", "N.", "" ] ]
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801.1922
Ruslan Prozorov
Ruslan Prozorov, Andrew F. Fidler, Jacob Hoberg, Paul C. Canfield
The Suprafroth (Superconducting Froth)
null
Nature Physics 4, 327 - 332 (2008)
10.1038/nphys888
null
cond-mat.supr-con
null
The structure and dynamics of froths have been subjects of intense interest due to the desire to understand the behaviour of complex systems where topological intricacy prohibits exact evaluation of the ground state. The dynamics of a traditional froth involves drainage and drying in the cell boundaries, thus it is irreversible. We report a new member to the froths family: suprafroth, in which the cell boundaries are superconducting and the cell interior is normal phase. Despite very different microscopic origin, topological analysis of the structure of the suprafroth shows that statistical von Neumann and Lewis laws apply. Furthermore, for the first time in the analysis of froths there is a global measurable property, the magnetic moment, which can be directly related to the suprafroth structure. We propose that this suprafroth is a new, model system for the analysis of the complex physics of two-dimensional froths.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:07:28 GMT" } ]
2009-02-02T00:00:00
[ [ "Prozorov", "Ruslan", "" ], [ "Fidler", "Andrew F.", "" ], [ "Hoberg", "Jacob", "" ], [ "Canfield", "Paul C.", "" ] ]
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801.1923
Wlodzimierz Jelonek
Wlodzimierz Jelonek
Bi-Hermitian gray surfaces II
17 pages
Differential Geom. and its Applications 27(2009)64-74
null
null
math.DG
null
The aim of this paper is to classify bi-Hermitian compact surfaces $(M,g)$ whose Ricci tensor $\rho$ satisfies the relation $\nabla_X\rho(X,X) =\frac13X\tau g(X,X)$.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 22:03:03 GMT" } ]
2016-02-25T00:00:00
[ [ "Jelonek", "Wlodzimierz", "" ] ]
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801.1924
Martin P. W. Zerner
Elena Kosygina and Martin P.W. Zerner
Positively and negatively excited random walks on integers, with branching processes
31 pages, 4 figures. Minor changes
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider excited random walks on the integers with a bounded number of i.i.d. cookies per site which may induce drifts both to the left and to the right. We extend the criteria for recurrence and transience by M. Zerner and for positivity of speed by A.-L. Basdevant and A. Singh to this case and also prove an annealed central limit theorem. The proofs are based on results from the literature concerning branching processes with migration and make use of a certain renewal structure.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 23:36:28 GMT" }, { "version": "v2", "created": "Sun, 28 Sep 2008 11:47:00 GMT" } ]
2008-09-28T00:00:00
[ [ "Kosygina", "Elena", "" ], [ "Zerner", "Martin P. W.", "" ] ]
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801.1925
Paul M. Aoki
Rowena Luk, Melissa Ho, Paul M. Aoki
A Framework for Designing Teleconsultation Systems in Africa
5 pages
Proc. Int'l Conf. on Health Informatics in Africa (HELINA), Bamako, Mali, Jan. 2007, 28(1-5)
null
null
cs.HC
null
All of the countries within Africa experience a serious shortage of medical professionals, particularly specialists, a problem that is only exacerbated by high emigration of doctors with better prospects overseas. As a result, those that remain in Africa, particularly those practicing in rural regions, experience a shortage of specialists and other colleagues with whom to exchange ideas. Telemedicine and teleconsultation are key areas that attempt to address this problem by leveraging remote expertise for local problems. This paper presents an overview of teleconsultation in the developing world, with a particular focus on how lessons learned apply to Africa. By teleconsultation, we are addressing non-real-time communication between health care professionals for the purposes of providing expertise and informal recommendations, without the real-time, interactive requirements typical of diagnosis and patient care, which is impractical for the vast majority of existing medical practices. From these previous experiences, we draw a set of guidelines and examine their relevance to Ghana in particular. Based on 6 weeks of needs assessment, we identify key variables that guide our framework, and then illustrate how our framework is used to inform the iterative design of a prototype system.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 23:39:30 GMT" } ]
2008-01-15T00:00:00
[ [ "Luk", "Rowena", "" ], [ "Ho", "Melissa", "" ], [ "Aoki", "Paul M.", "" ] ]
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801.1926
Aaron Lee
Aaron T. Lee, Edward W. Thommes, Frederic A. Rasio
Resonance Trapping in Protoplanetary Disks. I. Coplanar Systems
10 pages, 8 color figures. Accepted to the Astrophysical Journal. v2 - Added new figure, reflects accepted version
Astrophys.J.691:1684-1696,2009
10.1088/0004-637X/691/2/1684
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Mean-motion resonances (MMRs) are likely to play an important role both during and after the lifetime of a protostellar gas disk. We study the dynamical evolution and stability of planetary systems containing two giant planets on circular orbits near a 2:1 resonance and closer. We find that by having the outer planet migrate inward, the two planets can capture into either the 2:1, 5:3, or 3:2 MMR. We use direct numerical integrations of ~1000 systems in which the planets are initially locked into one of these resonances and allowed to evolve for up to ~10^7 yr. We find that the final eccentricity distribution in systems which ultimately become unstable gives a good fit to observed exoplanets. Next, we integrate ~500 two-planet systems in which the outer planet is driven to continuously migrate inward, resonantly capturing the inner; the systems are evolved until either instability sets in or the planets reach the star. We find that although the 5:3 resonance rapidly becomes unstable under migration, the 2:1 and 3:2 are very stable. Thus the lack of observed exoplanets in resonances closer than 2:1, if it continues to hold up, may be a primordial signature of the planet formation process.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 23:44:59 GMT" }, { "version": "v2", "created": "Tue, 23 Sep 2008 23:17:01 GMT" } ]
2009-06-23T00:00:00
[ [ "Lee", "Aaron T.", "" ], [ "Thommes", "Edward W.", "" ], [ "Rasio", "Frederic A.", "" ] ]
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801.1927
Paul M. Aoki
Rowena Luk, Melissa Ho, Paul M. Aoki
Asynchronous Remote Medical Consultation for Ghana
10 pages
null
10.1145/1357054.1357173
null
cs.HC
null
Computer-mediated communication systems can be used to bridge the gap between doctors in underserved regions with local shortages of medical expertise and medical specialists worldwide. To this end, we describe the design of a prototype remote consultation system intended to provide the social, institutional and infrastructural context for sustained, self-organizing growth of a globally-distributed Ghanaian medical community. The design is grounded in an iterative design process that included two rounds of extended design fieldwork throughout Ghana and draws on three key design principles (social networks as a framework on which to build incentives within a self-organizing network; optional and incremental integration with existing referral mechanisms; and a weakly-connected, distributed architecture that allows for a highly interactive, responsive system despite failures in connectivity). We discuss initial experiences from an ongoing trial deployment in southern Ghana.
[ { "version": "v1", "created": "Sat, 12 Jan 2008 23:43:18 GMT" } ]
2016-09-05T00:00:00
[ [ "Luk", "Rowena", "" ], [ "Ho", "Melissa", "" ], [ "Aoki", "Paul M.", "" ] ]
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801.1928
Michael E. Peskin
Michael E. Peskin
Supersymmetry in Elementary Particle Physics
75 pages, 36 figures
null
null
SLAC-PUB-13079
hep-ph
null
These lectures, presented at the 2006 TASI summer school, give a general introduction to supersymmetry, emphasizing its application to models of elementary particle physics at the 100 GeV energy scale. I discuss the following topics: the construction of supersymmetric Lagrangians with scalars, fermions, and gauge bosons, the structure and mass spectrum of the Minimal Supersymmetric Standard Model (MSSM), the measurement of the parameters of the MSSM at high-energy colliders, and the solutions that the MSSM gives to the problems of electroweak symmetry breaking and dark matter.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 01:22:05 GMT" } ]
2008-01-15T00:00:00
[ [ "Peskin", "Michael E.", "" ] ]
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801.1929
Eric Larson
Eric Larson
The DNA Inequality in Non-Convex Regions
Versions 7--9 contains more figures, a summary of the proof, and other modifications. Version 6 has corrected a couple of minor notational problems with version 5. Versions 5--9 are (the same) major generalization of the theorem proved in versions 1--4
null
null
null
math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A simple plane closed curve $\Gamma$ satisfies the DNA Inequality if the average curvature of any closed curve contained inside $\Gamma$ exceeds the average curvature of $\Gamma$. In 1997 Lagarias and Richardson proved that all convex curves satisfy the DNA Inequality and asked whether this is true for any non-convex curve. They conjectured that the DNA Inequality holds for certain L-shaped curves. In this paper, we disprove this conjecture for all L-Shapes and construct a large class of non-convex curves for which the DNA Inequality holds. We also give a polynomial-time procedure for determining whether any specific curve in a much larger class satisfies the DNA Inequality.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 02:49:43 GMT" }, { "version": "v2", "created": "Mon, 21 Jan 2008 06:25:55 GMT" }, { "version": "v3", "created": "Mon, 17 Mar 2008 19:55:35 GMT" }, { "version": "v4", "created": "Wed, 14 May 2008 16:12:10 GMT" }, { "version": "v5", "created": "Sun, 15 Jun 2008 19:01:20 GMT" }, { "version": "v6", "created": "Sat, 28 Jun 2008 05:23:03 GMT" }, { "version": "v7", "created": "Fri, 17 Oct 2008 06:34:00 GMT" }, { "version": "v8", "created": "Thu, 5 Feb 2009 05:29:31 GMT" }, { "version": "v9", "created": "Wed, 8 Apr 2009 04:10:35 GMT" } ]
2009-04-08T00:00:00
[ [ "Larson", "Eric", "" ] ]
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801.193
David Gilbank
David G. Gilbank and Michael L. Balogh (U. Waterloo)
Tracking Down a Critical Halo Mass for Killing Galaxies through the Growth of the Red-Sequence
MNRAS letters accepted. 5 pages, 1 figure
null
10.1111/j.1745-3933.2008.00445.x
null
astro-ph
null
Red-sequence galaxies record the history of terminated star-formation in the Universe and can thus provide important clues to the mechanisms responsible for this termination. We construct composite samples of published cluster and field galaxy photometry in order to study the build-up of galaxies on the red-sequence, as parameterised by the dwarf-to-giant ratio (DGR). We find that the DGR in clusters is higher than that of the field at all redshifts, implying that the faint end of the red-sequence was established first in clusters. We find that the DGR evolves with redshift for both samples, consistent with the ``down-sizing'' picture of star formation. We examine the predictions of semi-analytic models for the DGR and find that neither the magnitude of its environmental dependence nor its evolution is correctly predicted in the models. Red-sequence DGRs are consistently too high in the models, the most likely explanation being that the strangulation mechanism used to remove hot gas from satellite galaxies is too efficient. Finally we present a simple toy model including a threshold mass, below which galaxies are not strangled, and show that this can predict the observed evolution of the field DGR.
[ { "version": "v1", "created": "Mon, 14 Jan 2008 14:28:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Gilbank", "David G.", "", "U. Waterloo" ], [ "Balogh", "Michael L.", "", "U. Waterloo" ] ]
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801.1931
Anca Radulescu
Anca Radulescu, Kingsley Cox, Paul Adams
Hebbian Inspecificity in the Oja Model
42 pages (including appendices and references); 13 figures
null
null
null
q-bio.NC q-bio.QM
null
Recent work on Long Term Potentiation in brain slices shows that Hebb's rule is not completely synapse-specific, probably due to intersynapse diffusion of calcium or other factors. We extend the classical Oja unsupervised model of learning by a single linear neuron to include Hebbian inspecificity, by introducing an error matrix E, which expresses possible crosstalk between updating at different connections. We show the modified algorithm converges to the leading eigenvector of the matrix EC, where C is the input covariance matrix. When there is no inspecificity, this gives the classical result of convergence to the first principal component of the input distribution (PC1). We then study the outcome of learning using different versions of E. In the most biologically plausible case, arising when there are no intrinsically privileged connections, E has diagonal elements Q and off- diagonal elements (1-Q)/(n-1), where Q, the quality, is expected to decrease with the number of inputs n. We analyze this error-onto-all case in detail, for both uncorrelated and correlated inputs. We study the dependence of the angle theta between PC1 and the leading eigenvector of EC on b, n and the amount of input activity or correlation. (We do this analytically and using Matlab calculations.) We find that theta increases (learning becomes gradually less useful) with increases in b, particularly for intermediate (i.e. biologically-realistic) correlation strength, although some useful learning always occurs up to the trivial limit Q = 1/n. We discuss the relation of our results to Hebbian unsupervised learning in the brain.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 03:16:12 GMT" } ]
2008-01-15T00:00:00
[ [ "Radulescu", "Anca", "" ], [ "Cox", "Kingsley", "" ], [ "Adams", "Paul", "" ] ]
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801.1932
Zhi-Gang Wang
Z. G. Wang
Strong decays $B_{s0} \to B_s \pi$ and $B_{s1} \to B^*_s \pi $ with light-cone QCD sum rules
15 pages, 2 figures, revised version
Eur.Phys.J.C56:181-187,2008
10.1140/epjc/s10052-008-0646-y
null
hep-ph
null
In this article, we calculate the strong coupling constants $g_{B_{s0} B_s \eta}$ and $g_{B_{s1} B^*_s \eta}$ with the light-cone QCD sum rules. Then we take into account the small $\eta-\pi^0$ transition matrix according to Dashen's theorem, and obtain the small decay widths for the isospin violation processes $B_{s0}\to B_s\eta\to B_s\pi^0$ and $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. We can search the strange-bottomed $(0^+,1^+)$ mesons $B_{s0}$ and $B_{s1}$ in the invariant $B_s \pi^0$ and $B^*_s \pi^0$ mass distributions respectively.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 04:03:49 GMT" }, { "version": "v2", "created": "Wed, 27 Feb 2008 02:06:14 GMT" }, { "version": "v3", "created": "Wed, 12 Mar 2008 08:54:58 GMT" }, { "version": "v4", "created": "Wed, 19 Mar 2008 00:24:02 GMT" } ]
2008-08-15T00:00:00
[ [ "Wang", "Z. G.", "" ] ]
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801.1933
Takehisa Fujita
Takehisa Fujita
Critical Review of Path Integral Formulation
14 pages, no figure
null
null
null
hep-th
null
The path integral formulation in quantum mechanics corresponds to the first quantization since it is just to rewrite the quantum mechanical amplitude into many dimensional integrations over discretized coordinates $x_n$. However, the path integral expression cannot be connected to the dynamics of classical mechanics, even though, superficially, there is some similarity between them. Further, the field theory path integral in terms of many dimensional integrations over fields does not correspond to the field quantization. We clarify the essential difference between Feynman's original formulation of path integral in QED and the modern version of the path integral method prevailing in lattice field theory calculations, and show that the former can make a correct second quantization while the latter cannot quantize fields at all and its physical meaning is unknown.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 04:28:38 GMT" } ]
2008-01-15T00:00:00
[ [ "Fujita", "Takehisa", "" ] ]
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801.1934
Z.K.-H. Chu
Zotin K.-H. Chu
Possible Knot-type Time-dependent Quantum-mechanically Dynamical System
There are two figures
null
null
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We illustrate schematically a possible traversing along the path of trefoil-type and $8_{18}$ knots during a specific time period by considering a quantum-mechanic system which satisfies a specific kind of phase dynamics of quantum mechanics. This result is relevant to the composite particle which is present in the initial or final configuration.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 04:38:35 GMT" }, { "version": "v2", "created": "Thu, 9 Apr 2009 06:00:44 GMT" } ]
2009-04-09T00:00:00
[ [ "Chu", "Zotin K. -H.", "" ] ]
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801.1935
Dara Faroughy
Dara Faroughy
Slowly evolving early universe and a phenomenological model for time-dependent fundamental constants and the leptonic masses
7 pages, 1 figure
null
null
null
physics.gen-ph
null
A phenomenological model with an extreme accuracy is proposed for the cosmic time variation of the primordial fundamental constants (e, h, G and c) and the leptonic masses. The model is purely exploratory in that at the very early times the light speed is purposely modeled to be negligibly small, indicating a very slowly expanding universe around t=0. The impact of this idea in cosmology and its modeling is overwhelming.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 05:39:22 GMT" } ]
2008-01-15T00:00:00
[ [ "Faroughy", "Dara", "" ] ]
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801.1936
Felix Izrailev M
G.L.Celardo, F.M.Izrailev, S.Sorathia, V.G.Zelevinsky, G.P.Berman
Continuum shell model: From Ericson to conductance fluctuations
10 pages, 6 figures, corrected style and figures
AIP Conference Proceedings, Vol. 995, 2008, XIV, 232 p
10.1063/1.2915620
null
cond-mat.mes-hall cond-mat.stat-mech
null
We discuss an approach for studying the properties of mesoscopic systems, where discrete and continuum parts of the spectrum are equally important. The approach can be applied (i) to stable heavy nuclei and complex atoms near the continuum threshold, (ii) to nuclei far from the region of nuclear stability, both of the regions being of great current interest, and (iii) to mesoscopic devices with interacting electrons. The goal is to develop a new consistent version of the continuum shell model that simultaneously takes into account strong interaction between fermions and coupling to the continuum. Main attention is paid to the formation of compound resonances, their statistical properties, and correlations of the cross sections. We study the Ericson fluctuations of overlapping resonances and show that the continuum shell model nicely describes universal properties of the conductance fluctuations.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 05:39:28 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 03:26:51 GMT" } ]
2014-07-29T00:00:00
[ [ "Celardo", "G. L.", "" ], [ "Izrailev", "F. M.", "" ], [ "Sorathia", "S.", "" ], [ "Zelevinsky", "V. G.", "" ], [ "Berman", "G. P.", "" ] ]
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801.1937
Masahiro Inui
Akira Ni\'egawa
Absence of coexisting phase of quark-antiquark and diquark condensed phases in the extended Gross-Neveu model in $2 + 1$ dimensions
9 pages
Mod.Phys.Lett.A23:933-942,2008
10.1142/S0217732308026960
null
hep-ph
null
We show that the coexisting phase of quark-antiquark and diquark condensed phases is absent in the cold quark matter in the $2 + 1$ dimensional extended Gross-Neveu model, which is in sharp contrast to the case of $3 + 1$ dimensional Nambu--Jona-Lasinio model.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 06:32:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Niégawa", "Akira", "" ] ]
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801.1938
Eliot Brenner
Eliot Brenner, Florin Spinu
Artin formalism for Selberg zeta functions of co-finite Kleinian groups
14 pages. In v2 added key reference and clarified relationship to certain results in the literature
null
null
null
math.NT
null
Let $\Gamma\backslash\mathbb H^3$ be a finite-volume quotient of the upper-half space, where $\Gamma\subset {\rm SL}(2,\mathbb C)$ is a discrete subgroup. To a finite dimensional unitary representation $\chi$ of $\Gamma$ one associates the Selberg zeta function $Z(s;\Gamma;\chi)$. In this paper we prove the Artin formalism for the Selberg zeta function. Namely, if $\tilde\Gamma$ is a finite index group extension of $\Gamma$ in ${\rm SL}(2,\mathbb C)$, and $\pi={\rm Ind}_{\Gamma}^{\tilde\Gamma}\chi$ is the induced representation, then $Z(s;\Gamma;\chi)=Z(s;\tilde\Gamma;\pi)$. In the second part of the paper we prove by a direct method the analogous identity for the scattering function, namely $\phi(s;\Gamma;\chi)=\phi(s;\tilde\Gamma;\pi)$, for an appropriate normalization of the Eisenstein series.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 07:20:33 GMT" }, { "version": "v2", "created": "Sat, 19 Jan 2008 22:00:32 GMT" } ]
2008-01-19T00:00:00
[ [ "Brenner", "Eliot", "" ], [ "Spinu", "Florin", "" ] ]
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801.1939
Mojtaba Mohammadi Najafabadi
Mojtaba Mohammadi Najafabadi
Probing of $Wtb$ Anomalous Couplings via the $tW$ Channel of Single Top Production
11 pages, 4 figures
JHEP 0803:024,2008
10.1088/1126-6708/2008/03/024
null
hep-ph
null
The potential of LHC for investigation of the $W$-$t$-$b$ vertex through the $tW$ channel of single top quark production is studied. Unlike the other two single top quark production processes ($t-$channel and $s-$channel), the $tW$ channel provides the possibility to study the $Wtb$ vertex without receiving contamination from FCNC. This study has been done at parton level but is involved the separation of signal from backgrounds when both $W$-bosons decay to leptons. In this study $\mathcal{CP}$ is assumed to be conserved. The 68% C.L. bounds on the non-Standard Model couplings are estimated.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 07:14:01 GMT" }, { "version": "v2", "created": "Mon, 18 Feb 2008 09:03:34 GMT" }, { "version": "v3", "created": "Sun, 16 Mar 2008 08:25:09 GMT" } ]
2009-01-06T00:00:00
[ [ "Najafabadi", "Mojtaba Mohammadi", "" ] ]
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801.194
Liyun Hu
Hong-yi Fan and Li-yun Hu
Relation between quantum tomography and optical Fresnel transform
7 pages, no figure
null
null
null
quant-ph
null
Corresponding to optical Fresnel transformation characteristic of ray transfer matrix elements (A;B;C;D); AD-BC = 1, there exists Fresnel operator F(A;B;C;D) in quantum optics, we show that under the Fresnel transformation the pure position density |x><x| becomes the tomographic density |x>_rs,rs_<x|, which is just the Radon transform of the Wigner operator, i.e., F|x><x|F^(+) = |x>_rs,rs_<x|= \int dx'dp'delta[x-(Dx'-Bp')]*Wigner operator where s, r are the complex-value expression of (A;B;C;D). So the probability distribution for the Fresnel quadrature phase is the tomography (Radon transform of Wigner function), and the tomogram of a state |phi> is just the wave function of its Fresnel transformed state F|phi>, i.e. rs_<x||phi>= <x|F^(+)|phi>. Similarly, we find F|p><p|F^(+) = |p>_rs,rs_<p|= \int dx'dp'delta[x-(Ap'-Cx')]*Wigner operator.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 08:26:31 GMT" } ]
2008-01-15T00:00:00
[ [ "Fan", "Hong-yi", "" ], [ "Hu", "Li-yun", "" ] ]
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801.1941
Jun He
Jun He, Yong-Sheng Zhang, Xiang-Fa Zhou, Qun-Feng Chen, Guang-Can Guo
Active Quantum Memory Using Oscillating Dark States
The authors declare that the paper should be withdrawn
null
null
null
quant-ph
null
An active method for long time storage of quantum superposition state in atomic system using the Oscillating Dark States (ODS) is presented. Quantum state of a three-level $\Lambda$ configuration atomic system oscillates periodically between two ground levels, when two pairs of classical detuning laser fields driving the system into the ODS under evolving adiabatic conditions. When considering another uploading/unloading adiabatic conditions and applying the oscillation of the ODS to quantum state storage, surprisingly, we can obtain the greatly suppressed decoherence of the system and high fidelity of the retrieved state, even if decay factor of coherence term of the system density matrix $\gamma_{21}$$\cdot$ $t$$ \gg$1. The storage time is not limited by coherence decay time of the atomic system any longer, and can be thousands of times longer than that in those passive schemes without additional laser fields.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 09:15:15 GMT" }, { "version": "v2", "created": "Fri, 25 Jan 2008 09:26:01 GMT" } ]
2009-09-29T00:00:00
[ [ "He", "Jun", "" ], [ "Zhang", "Yong-Sheng", "" ], [ "Zhou", "Xiang-Fa", "" ], [ "Chen", "Qun-Feng", "" ], [ "Guo", "Guang-Can", "" ] ]
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801.1942
Magali Rocher
Michel Matignon (IMB), Magali Rocher (IMB)
On smooth curves endowed with a large automorphism $p$-group in characteristic $p>0$
The section 3, concerning base change and big actions, is new
null
null
null
math.NT math.AG
null
Let $k$ be an algebraically closed field of characteristic $p>0$ and $C$ a connected nonsingular projective curve over $k$ with genus $g \geq 2$. This paper continues the work begun by Lehr and Matignon, namely the study of "big actions", i.e. the pairs $(C,G)$ where $G$ is a $p$-subgroup of the $k$-automorphism group of $C$ such that$\frac{|G|}{g} >\frac{2 p}{p-1}$. If $G_2$ denotes the second ramification group of $G$ at the unique ramification point of the cover $C \to C/G$, we display necessary conditions on $G_2$ for $(C,G)$ to be a big action, which allows us to pursue the classification of big actions. Our main source of examples comes from the construction of curves with many rational points using ray class field theory for global function fields, as initiated by J-P. Serre and followed by Lauter and Auer. In particular, we obtain explicit examples of big actions with $G_2$ abelian of large exponent.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 09:37:43 GMT" }, { "version": "v2", "created": "Thu, 24 Jan 2008 20:33:15 GMT" } ]
2008-01-24T00:00:00
[ [ "Matignon", "Michel", "", "IMB" ], [ "Rocher", "Magali", "", "IMB" ] ]
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801.1943
Shicheng Wang
Michel Boileau, Yi Ni, Shicheng Wang
On standard forms of 1--dominations between knots with same Gromov volumes
15 pages
null
null
null
math.GT
null
Let $k$ and $k'$ be two knots in 3-sphere. Say $k$ 1--dominates $k'$, if there is a proper degree 1 map $f\co E(k)\to E(k')$, between knot exterior of $k_i$. Theorem: Suppose that any companion of $k$ is prime. If $k$ 1--dominates $k'$ with the same Gromov volume, then $k'$ can be obtained from $k$ by finitely many de-satellizations. The condition of "same Gromov volume" clearly can not be removed. We also give a new construction of 1-domination between knots with same Gromov volume to show that the condition "any companion of $k$ is prime" can not be removed.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 09:38:16 GMT" } ]
2008-01-15T00:00:00
[ [ "Boileau", "Michel", "" ], [ "Ni", "Yi", "" ], [ "Wang", "Shicheng", "" ] ]
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801.1944
Koji Nagata
Koji Nagata
Additional information decreases the estimated entanglement using the Jaynes principle
To appear in Journal of Statistical Mechanics: Theory and Experiment
J. Stat. Mech. (2008) P03020
10.1088/1742-5468/2008/03/P03020
null
quant-ph
null
We study a particular example considered in {[Phys. Rev. A {\bf 59,} 1799 (1999)]}, concerning the statistical inference of quantum entanglement using the Jaynes principle. Assume a Clauser-Horne-Simony-Holt (CHSH) Bell operator, a sum of two operators $\sqrt{2}(X+Z)$. Given only an average of the Bell-CHSH operator, we may overestimate entanglement. However, the estimated entanglement is decreased (never increases) when we use the expectation value of the operator $X$ as additional information. A minimum entanglement state is obtained by minimizing the variance of the observable $X$.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 09:43:52 GMT" }, { "version": "v2", "created": "Sun, 30 Mar 2008 15:22:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Nagata", "Koji", "" ] ]
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801.1945
Koji Nagata
Koji Nagata
Unconditional no-hidden-variables theorem
Foundations of Physics, (2008), (accepted for publication)
null
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, [{arXiv:0810.3134}] is accepted and published. We present ultimate version of no-hidden-variables theorem. We derive a proposition concerning the quantum theory under the existence of the Bloch sphere in a single spin-1/2 system. The existence of a single classical probability space for measurement outcome within the formalism of von Neumann's projective measurement does not coexist with the proposition concerning the quantum theory. We have to give up the existence of such a classical probability space for measurement outcome in the two-dimensional Hilbert space formalism of the quantum theory. The quantum theory does not accept a hidden-variable interpretation in the two-dimensional space.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 09:50:14 GMT" }, { "version": "v2", "created": "Mon, 19 May 2008 07:54:50 GMT" }, { "version": "v3", "created": "Thu, 19 Jun 2008 07:49:49 GMT" }, { "version": "v4", "created": "Tue, 21 Oct 2008 14:17:35 GMT" }, { "version": "v5", "created": "Fri, 28 Nov 2008 07:10:57 GMT" } ]
2008-11-28T00:00:00
[ [ "Nagata", "Koji", "" ] ]
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801.1946
Shicheng Wang
Pierre Derbez and Shicheng Wang
Finiteness of mapping degrees and ${\rm PSL}(2,{\R})$-volume on graph manifolds
15 pages 4 figures
null
null
null
math.GT math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For given closed orientable 3-manifolds $M$ and $N$ let $\c{D}(M,N)$ be the set of mapping degrees from $M$ to $N$. We address the problem: For which $N$, $\c{D}(M,N)$ is finite for all $M$? The answer is known in Thurston's picture of closed orientable irreducible 3-manifolds unless the target is a non-trivial graph manifold. We prove that for each closed non-trivial graph manifold $N$, $\c{D}(M,N)$ is finite for all graph manifold $M$. The proof uses a recently developed standard forms of maps between graph manifolds and the estimation of the $\widetilde{\rm PSL}(2,{\R})$-volume for certain class of graph manifolds.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 10:11:19 GMT" }, { "version": "v2", "created": "Tue, 26 Feb 2008 01:30:08 GMT" }, { "version": "v3", "created": "Tue, 14 Oct 2008 09:29:10 GMT" } ]
2008-10-14T00:00:00
[ [ "Derbez", "Pierre", "" ], [ "Wang", "Shicheng", "" ] ]
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801.1947
Hans Gerd Evertz
Peter Pippan, Steven R. White, and Hans Gerd Evertz
Efficient Matrix Product State Method for periodic boundary conditions
Final published version
Phys. Rev. B 81, 081103(R) (2010)
10.1103/PhysRevB.81.081103
null
cond-mat.str-el quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce an efficient method to calculate the ground state of one-dimensional lattice models with periodic boundary conditions. The method works in the representation of Matrix Product States (MPS), related to the Density Matrix Renormalization Group (DMRG) method. It improves on a previous approach by Verstraete et al. We introduce a factorization procedure for long products of MPS matrices, which reduces the computational effort from m^5 to m^3, where m is the matrix dimension, and m ~ 100 - 1000 in typical cases. We test the method on the S=1/2 and S=1 Heisenberg chains. It is also applicable to non-translationally invariant cases. The new method makes ground state calculations with periodic boundary conditions about as efficient as traditional DMRG calculations for systems with open boundaries.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 11:08:46 GMT" }, { "version": "v2", "created": "Sun, 24 Feb 2008 10:42:40 GMT" }, { "version": "v3", "created": "Tue, 16 Feb 2010 11:00:44 GMT" } ]
2010-02-16T00:00:00
[ [ "Pippan", "Peter", "" ], [ "White", "Steven R.", "" ], [ "Evertz", "Hans Gerd", "" ] ]
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801.1948
Naoki Imai
Naoki Imai
On the connected components of moduli spaces of finite flat models
13 pages
Amer. J. Math. 132 (2010), no. 5, 1189-1204
10.1353/ajm.2010.0006
null
math.NT math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that the non-ordinary component is connected in the moduli spaces of finite flat models of two-dimensional local Galois representations over finite fields. This was conjectured by Kisin. As an application to global Galois representations, we prove a theorem on the modularity comparing a deformation ring and a Hecke ring.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 11:44:26 GMT" }, { "version": "v2", "created": "Fri, 14 Mar 2008 19:32:28 GMT" }, { "version": "v3", "created": "Mon, 6 Oct 2008 09:14:53 GMT" }, { "version": "v4", "created": "Sun, 14 Nov 2010 01:16:37 GMT" } ]
2020-11-24T00:00:00
[ [ "Imai", "Naoki", "" ] ]
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801.1949
Sohrab Behnia
Sohrab Behnia, Amin Jafari, Wiria Soltanpoor, Okhtai Jahanbakhsh
Possibility of using dual frequency to control chaotic oscillations of a spherical bubble
null
null
null
null
nlin.CD
null
Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be controlled. Reducing chaotic oscillations could be the first step in controlling the bubble dynamics by increasing the predictability of the bubble response to an applied acoustic field. One way to achieve this concept is to perturb the acoustic forcing. Recently, due to the improvements associated with using dual frequency sources, this method has been the subject of many studies which have proved its applicability and advantages. Due to this reason, in this paper, the oscillations of a spherical bubble driven by a dual frequency source, were studied and compared to the ones driven by a single source. Results indicated that using dual frequency had a strong impact on reducing the chaotic oscillations to regular ones. The governing parameters influencing its dynamics are the secondary frequency and its phase difference with the fundamental frequency. Also using dual frequency forcing may arm us by the possibility of generating oscillations of desired amplitudes. To our knowledge the investigation of the ability of using a dual frequency forcing to control chaotic oscillations are presented for the first time in this paper.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 11:31:35 GMT" } ]
2008-01-15T00:00:00
[ [ "Behnia", "Sohrab", "" ], [ "Jafari", "Amin", "" ], [ "Soltanpoor", "Wiria", "" ], [ "Jahanbakhsh", "Okhtai", "" ] ]
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801.195
Shkalikov
A. M. Savchuk
Uniform asyptotic formulae for eigenfunctions of Sturm--Liouville operators with singular potentials
8 pages
null
null
null
math.SP math.FA
null
In this paper we study a Sturm--Liouville operator $Ly=-y''+q(x)y$ in the space $L_2[0,\pi]$ with Direchlet boundary conditions. Here the potential $q$ is a fitst order distribution $q\in W_2^{-1}[0,\pi]$. Such operators were defined in our previous papers. Here we study an asymptotic behaviour of eigenfunctions with uniform estimates of rests. We obtain this estimates also for potentials from Sobolev spaces $q\in W_2^{\theta-1}$, where $\theta\in[0,1/2)$.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 11:36:46 GMT" } ]
2008-01-15T00:00:00
[ [ "Savchuk", "A. M.", "" ] ]
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801.1951
Andreas Kyprianou A.E.
A. E. Kyprianou, V. Rivero, R. Song
Convexity and smoothness of scale functions and de Finetti's control problem
null
null
null
null
math.PR math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Under appropriate conditions, we obtain smoothness and convexity properties of $q$-scale functions for spectrally negative L\'evy processes. Our method appeals directly to very recent developments in the theory of potential analysis of subordinators. As an application of the latter results to scale functions, we are able to continue the very recent work of \cite{APP2007} and \cite{Loe}. We strengthen their collective conclusions by showing, amongst other results, that whenever the L\'evy measure has a density which is log convex then for $q>0$ the scale function $W^{(q)}$ is convex on some half line $(a^*,\infty)$ where $a^*$ is the largest value at which $W^{(q)\prime}$ attains its global minimum. As a consequence we deduce that de Finetti's classical actuarial control problem is solved by a barrier strategy where the barrier is positioned at height $a^*$.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 12:15:27 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 23:57:02 GMT" }, { "version": "v3", "created": "Mon, 25 Aug 2008 11:35:32 GMT" } ]
2008-08-25T00:00:00
[ [ "Kyprianou", "A. E.", "" ], [ "Rivero", "V.", "" ], [ "Song", "R.", "" ] ]
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801.1952
Augusto Alcalde
A. M. Alcalde, C. L. Romano, L. Sanz, G. E. Marques
Phonon modulation of the spin-orbit interaction as a spin relaxation mechanism in InSb quantum dots
5 page, 2 figures, accepted in Phonons 2007 proceedings
null
null
null
cond-mat.mes-hall
null
We calculate the spin relaxation rates in a parabolic InSb quantum dots due to the spin interaction with acoustical phonons. We considered the deformation potential mechanism as the dominant electron-phonon coupling in the Pavlov-Firsov spin-phonon Hamiltonian. By studying suitable choices of magnetic field and lateral dot size, we determine regions where the spin relaxation rates can be practically suppressed. We analyze the behavior of the spin relaxation rates as a function of an external magnetic field and mean quantum dot radius. Effects of the spin admixture due to Dresselhaus contribution to spin-orbit interaction are also discussed.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 12:54:12 GMT" } ]
2008-01-15T00:00:00
[ [ "Alcalde", "A. M.", "" ], [ "Romano", "C. L.", "" ], [ "Sanz", "L.", "" ], [ "Marques", "G. E.", "" ] ]
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801.1953
Jaime Forero-Romero
Jaime E. Forero-Romero
Predictability in Semi-Analytic Models of Galaxy Formation
10 pages, 5 figures, submitted to MNRAS
null
null
null
astro-ph
null
We propose a general framework to scrutinize the performance of semi-analytic codes of galaxy formation. The approach is based on the analysis of the outputs from the model after a series of perturbations in the input parameters controlling the baryonic physics. The perturbations are chosen in a way that they do not change the results in the luminosity function or mass function of the galaxy population. We apply this approach on a particular semi-analytic model called GalICS. We chose to perturb the parameters controlling the efficiency of star formation and the efficiency of supernova feedback. We keep track of the baryonic and observable properties of the central galaxies in a sample of dark matter halos with masses ranging from 10^{10} M_sol to 10^{13} M_sol. We find very different responses depending on the halo mass. For small dark matter halos its central galaxy responds in a highly predictable way to small perturbation in the star formation and feedback efficiency. For massive dark matter halos, minor perturbations in the input parameters can induce large fluctuations on the properties of its central galaxy, at least $\sim 0.1$ in (B-V) color or $\sim 0.5$ mag in U or r filter, in a seemingly random fashion. We quantify this behavior through an objective scalar function we call predictability. We argue that finding the origin of this behavior needs additional information from other approximations and different semi-analytic codes. Furthermore, the implementation of an scalar objective function, such as the predictability, opens the door to quantitative benchmarking of semi-analytic codes based on its numerical performance.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 13:54:54 GMT" } ]
2008-01-15T00:00:00
[ [ "Forero-Romero", "Jaime E.", "" ] ]
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801.1954
Marcelo Samuel Berman
Marcelo Samuel Berman
A General Relativistic Rotating Evolutionary Universe - Part II
7 pages including front cover. Published
Astrophysics and Space Science 315,367-369 (2008)
10.1007/s10509-008-9830-7
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
As a sequel to (Berman, 2008a), we show that the rotation of the Universe can be dealt by generalised Gaussian metrics, defined in this paper. Robertson-Walker's metric has been employed with proper-time, in its standard applications; the generalised Gaussian metric imply in the use of a non-constant temporal metric coefficient modifying Robertson-Walker's standard form. Experimental predictions are made
[ { "version": "v1", "created": "Sun, 13 Jan 2008 22:11:03 GMT" }, { "version": "v2", "created": "Tue, 5 Feb 2008 12:47:11 GMT" }, { "version": "v3", "created": "Wed, 6 Aug 2008 21:21:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Berman", "Marcelo Samuel", "" ] ]
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801.1955
Jaime Forero-Romero
Jaime E. Forero-Romero
The Coarse Geometry of Merger Trees in \Lambda CDM
7 pages, 5 figures, submitted to MNRAS
null
10.1111/j.1365-2966.2009.15281.x
null
astro-ph
null
We introduce the contour process to describe the geometrical properties of merger trees. The contour process produces a one-dimensional object, the contour walk, which is a translation of the merger tree. We portray the contour walk through its length and action. The length is proportional to to the number of progenitors in the tree, and the action can be interpreted as a proxy of the mean length of a branch in a merger tree. We obtain the contour walk for merger trees extracted from the public database of the Millennium Run and also for merger trees constructed with a public Monte-Carlo code which implements a Markovian algorithm. The trees correspond to halos of final masses between 10^{11} h^{-1} M_sol and 10^{14} h^{-1} M_sol. We study how the length and action of the walks evolve with the mass of the final halo. In all the cases, except for the action measured from Markovian trees, we find a transitional scale around 3 \times 10^{12} h^{-1} M_sol. As a general trend the length and action measured from the Markovian trees show a large scatter in comparison with the case of the Millennium Run trees.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 14:09:47 GMT" } ]
2015-05-13T00:00:00
[ [ "Forero-Romero", "Jaime E.", "" ] ]
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801.1956
Takenori Okamoto Joten
Takenori J. Okamoto, Saku Tsuneta, Bruce W. Lites, Masahito Kubo, Takaaki Yokoyama, Thomas E. Berger, Kiyoshi Ichimoto, Yukio Katsukawa, Shin'ichi Nagata, Kazunari Shibata, Toshifumi Shimizu, Richard A. Shine, Yoshinori Suematsu, Theodore D. Tarbell, and Alan M. Title
Emergence of a Helical Flux Rope Under an Active Region Prominence
10 pages, 2 figures, accepted for publication in ApJ Letters
null
10.1086/528792
null
astro-ph
null
Continuous observations were obtained of active region 10953 with the Solar Optical Telescope (SOT) on board the \emph{Hinode} satellite during 2007 April 28 to May 9. A prominence was located over the polarity inversion line (PIL) in the south-east of the main sunspot. These observations provided us with a time series of vector magnetic fields on the photosphere under the prominence. We found four features: (1) The abutting opposite-polarity regions on the two sides along the PIL first grew laterally in size and then narrowed. (2) These abutting regions contained vertically-weak, but horizontally-strong magnetic fields. (3) The orientations of the horizontal magnetic fields along the PIL on the photosphere gradually changed with time from a normal-polarity configuration to a inverse-polarity one. (4) The horizontal-magnetic field region was blueshifted. These indicate that helical flux rope was emerging from below the photosphere into the corona along the PIL under the pre-existing prominence. We suggest that this supply of a helical magnetic flux into the corona is associated with evolution and maintenance of active-region prominences.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 14:32:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Okamoto", "Takenori J.", "" ], [ "Tsuneta", "Saku", "" ], [ "Lites", "Bruce W.", "" ], [ "Kubo", "Masahito", "" ], [ "Yokoyama", "Takaaki", "" ], [ "Berger", "Thomas E.", "" ], [ "Ichimoto", "Kiyoshi", "" ], [ "Katsukawa", "Yukio", "" ], [ "Nagata", "Shin'ichi", "" ], [ "Shibata", "Kazunari", "" ], [ "Shimizu", "Toshifumi", "" ], [ "Shine", "Richard A.", "" ], [ "Suematsu", "Yoshinori", "" ], [ "Tarbell", "Theodore D.", "" ], [ "Title", "Alan M.", "" ] ]
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801.1957
Marek Radzikowski
Marek J. Radzikowski
Phase Space Factor for Two-Body Decay if One Product is a Stable Tachyon
15 pages; LaTeX; corrected terminology ("phase _space_ factor") & improved wording in Intro. and Concl
null
null
null
hep-th
null
We calculate the phase space factor for a two-body decay in which one of the products is a tachyon. Two threshold conditions, a lower and an upper one, are derived in terms of the masses of the particles and the speed of a preferred frame. Implicit in the derivation is a consistently formulated quantum field theory of tachyons in which spontaneous Lorentz symmetry breaking occurs. The result is to be contrasted with a parallel calculation by Hughes and Stephenson, which, however, implicitly adheres to strict Lorentz invariance of the underlying quantum field theory and produces the conclusion that there is no threshold for this process.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:46:30 GMT" }, { "version": "v2", "created": "Tue, 15 Jan 2008 04:48:37 GMT" }, { "version": "v3", "created": "Tue, 5 Feb 2008 08:08:21 GMT" } ]
2008-02-05T00:00:00
[ [ "Radzikowski", "Marek J.", "" ] ]
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801.1958
Takenori Okamoto Joten
T. J. Okamoto, S. Tsuneta, T. E. Berger, K. Ichimoto, Y. Katsukawa, B. W. Lites, S. Nagata, K. Shibata, T. Shimizu, R. A. Shine, Y. Suematsu, T. D. Tarbell, A. M. Title
Coronal transverse magnetohydrodynamic waves in a solar prominence
10 pages, 3 figures, published in Science (Hinode special issue)
Science 318:1577-1580,2007
10.1126/sci=
null
astro-ph
null
Solar prominences are cool 10$^4$ Kelvin plasma clouds supported in the surrounding 10$^6$ Kelvin coronal plasma by as-yet undetermined mechanisms. Observations from \emph{Hinode} show fine-scale threadlike structures oscillating in the plane of the sky with periods of several minutes. We suggest these transverse magnetohydrodynamic waves may represent Alfv\'en waves propagating on coronal magnetic field lines and these may play a role in heating the corona.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:02:41 GMT" } ]
2009-07-09T00:00:00
[ [ "Okamoto", "T. J.", "" ], [ "Tsuneta", "S.", "" ], [ "Berger", "T. E.", "" ], [ "Ichimoto", "K.", "" ], [ "Katsukawa", "Y.", "" ], [ "Lites", "B. W.", "" ], [ "Nagata", "S.", "" ], [ "Shibata", "K.", "" ], [ "Shimizu", "T.", "" ], [ "Shine", "R. A.", "" ], [ "Suematsu", "Y.", "" ], [ "Tarbell", "T. D.", "" ], [ "Title", "A. M.", "" ] ]
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801.1959
Oriol Romero-Isart
Alex Monras and Oriol Romero-Isart
Quantum Information Processing with Quantum Zeno Many-Body Dynamics
13 pages, 8 figures. Significantly extended, including two-qubit gates and parity measurements. To appear in Quantum Information & Computation
Quant. Inf. Comp. 10, 201 (2010)
null
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show how the quantum Zeno effect can be exploited to control quantum many-body dynamics for quantum information and computation purposes. In particular, we consider a one dimensional array of three level systems interacting via a nearest-neighbour interaction. By encoding the qubit on two levels and using simple projective frequent measurements yielding the quantum Zeno effect, we demonstrate how to implement a well defined quantum register, quantum state transfer on demand, universal two-qubit gates and two-qubit parity measurements. Thus, we argue that the main ingredients for universal quantum computation can be achieved in a spin chain with an always-on and constant many-body Hamiltonian. We also show some possible modifications of the initially assumed dynamics in order to create maximally entangled qubit pairs and single qubit gates.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:12:45 GMT" }, { "version": "v2", "created": "Fri, 20 Nov 2009 12:41:09 GMT" } ]
2010-02-11T00:00:00
[ [ "Monras", "Alex", "" ], [ "Romero-Isart", "Oriol", "" ] ]
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801.196
Alfio Bonanno
Alfio Bonanno, Vadim Urpin
Magnetic shear-driven instability and turbulent mixing in magnetized protostellar disks
8 pages, 6 figures, A&A to appear
null
10.1051/0004-6361:20077562
null
astro-ph
null
Observations of protostellar disks indicate the presence of the magnetic field of thermal (or superthermal) strength. In such a strong magnetic field, many MHD instabilities responsible for turbulent transport of the angular momentum are suppressed. We consider the shear-driven instability that can occur in protostellar disks even if the field is superthermal. This instability is caused by the combined influence of shear and compressibility in a magnetized gas and can be an efficient mechanism to generate turbulence in disks. The typical growth time is of the order of several rotation periods.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:30:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Bonanno", "Alfio", "" ], [ "Urpin", "Vadim", "" ] ]
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801.1961
Fabio Trani
F. Buonocore, F. Trani, D. Ninno, A. Di Matteo, G. Cantele and G. Iadonisi
Ab initio calculations of electron affinity and ionization potential of carbon nanotubes
null
Nanotechnology 19, 025711 (2008)
10.1088/0957-4484/19/02/025711
null
cond-mat.mtrl-sci
null
By combining ab initio all-electron localized orbital and pseudopotential plane-wave approaches we report on calculations of the electron affinity (EA) and the ionization potential (IP) of (5, 5) and (7, 0) single-wall carbon nanotubes. The role played by finite-size effects and nanotube termination has been analysed by comparing several hydrogen-passivated and not passivated nanotube segments. The dependence of the EA and IP on both the quantum confinement effect, due to the nanotube finite length, and the charge accumulation on the edges, is studied in detail. Also, the EA and IP are compared to the energies of the lowest unoccupied and highest occupied states, respectively, upon increasing the nanotube length. We report a slow convergence with respect to the number of atoms. The effect of nanotube packing in arrays on the electronic properties is eventually elucidated as a function of the intertube distance.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:34:23 GMT" } ]
2008-01-15T00:00:00
[ [ "Buonocore", "F.", "" ], [ "Trani", "F.", "" ], [ "Ninno", "D.", "" ], [ "Di Matteo", "A.", "" ], [ "Cantele", "G.", "" ], [ "Iadonisi", "G.", "" ] ]
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801.1962
Gert De Cooman
Gert de Cooman, Matthias C. M. Troffaes, Enrique Miranda
n-Monotone exact functionals
null
Journal of Mathematical Analysis and Applications 347 (2008) 143-156
10.1016/j.jmaa.2008.05.071
null
math.FA math.PR
null
We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise the notions of coherence and natural extension in the behavioural theory of imprecise probabilities. We improve upon a number of results in the literature, and prove among other things a representation result for exact n-monotone functionals in terms of Choquet integrals.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 15:44:12 GMT" } ]
2018-08-10T00:00:00
[ [ "de Cooman", "Gert", "" ], [ "Troffaes", "Matthias C. M.", "" ], [ "Miranda", "Enrique", "" ] ]
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801.1963
Delio Mugnolo
Delio Mugnolo
Asymptotics of semigroups generated by operator matrices
null
null
10.1007/s40065-014-0107-4
null
math.FA math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We survey some known results about operator semigroup generated by operator matrices with diagonal or coupled domain. These abstract results are applied to the characterization of well-/ill-posedness for a class of evolution equations with dynamic boundary conditions on domains or metric graphs. In particular, our ill-posedness results on the heat equation with general Wentzell-type boundary conditions complement those previously obtained by, among others, Bandle-von Below-Reichel and Vitillaro-V\'azquez.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:05:47 GMT" }, { "version": "v2", "created": "Sun, 1 Dec 2013 21:05:03 GMT" } ]
2019-06-05T00:00:00
[ [ "Mugnolo", "Delio", "" ] ]
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801.1964
Zengru Di
Yanqing Hu, Jinshan Wu, Zengru Di
Enhance the Efficiency of Heuristic Algorithm for Maximizing Modularity Q
9 pages, 3 figures
null
10.1209/0295-5075/85/18009
null
physics.soc-ph
null
Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem is equivalent to a nonconvex quadratic programming problem. This result provide us a simple way to improve the efficiency of heuristic algorithms for maximizing modularity Q. Many numerical results demonstrate that it is very effective.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:13:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Hu", "Yanqing", "" ], [ "Wu", "Jinshan", "" ], [ "Di", "Zengru", "" ] ]
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801.1965
Ruisheng Liu
R. S. Liu (1 and 2), L. Michalak (3), C. M. Canali (3), L. Samuelson (2) and H. Pettersson (1 and 2) ((1) Center for Applied Mathematics and Physics, Halmstad University, Halmstad, Sweden, (2) Solid State Physics/ the Nanometer Structure Consortium, Lund University, Lund, Sweden, (3) Department of Physics and Mathematics, School of Pure and Applied Natural Sciences, Kalmar University, Kalmar, Sweden)
Tunneling Anisotropic Magnetoresistance in Co/AlOx/Au Tunnel Junctions
11 pages, 5 figures. Accpted for publishing on Nano Letters, 2008
null
10.1021/nl072985p
null
physics.pop-ph
null
We observe spin-valve-like effects in nano-scaled thermally evaporated Co/AlOx/Au tunnel junctions. The tunneling magnetoresistance is anisotropic and depends on the relative orientation of the magnetization direction of the Co electrode with respect to the current direction. We attribute this effect to a two-step magnetization reversal and an anisotropic density of states resulting from spin-orbit interaction. The results of this study points to future applications of novel spintronics devices involving only one ferromagnetic layer.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:24:45 GMT" } ]
2015-05-13T00:00:00
[ [ "Liu", "R. S.", "", "1 and 2" ], [ "Michalak", "L.", "", "1 and 2" ], [ "Canali", "C. M.", "", "1 and 2" ], [ "Samuelson", "L.", "", "1 and 2" ], [ "Pettersson", "H.", "", "1 and 2" ] ]
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801.1966
Gert De Cooman
Gert de Cooman and Enrique Miranda
Symmetry of models versus models of symmetry
61 pages
null
null
null
math.ST stat.TH
null
A model for a subject's beliefs about a phenomenon may exhibit symmetry, in the sense that it is invariant under certain transformations. On the other hand, such a belief model may be intended to represent that the subject believes or knows that the phenomenon under study exhibits symmetry. We defend the view that these are fundamentally different things, even though the difference cannot be captured by Bayesian belief models. In fact, the failure to distinguish between both situations leads to Laplace's so-called Principle of Insufficient Reason, which has been criticised extensively in the literature. We show that there are belief models (imprecise probability models, coherent lower previsions) that generalise and include the Bayesian belief models, but where this fundamental difference can be captured. This leads to two notions of symmetry for such belief models: weak invariance (representing symmetry of beliefs) and strong invariance (modelling beliefs of symmetry). We discuss various mathematical as well as more philosophical aspects of these notions. We also discuss a few examples to show the relevance of our findings both to probabilistic modelling and to statistical inference, and to the notion of exchangeability in particular.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:15:17 GMT" } ]
2008-01-15T00:00:00
[ [ "de Cooman", "Gert", "" ], [ "Miranda", "Enrique", "" ] ]
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801.1967
Ivan Arzhantsev
Ivan V. Arzhantsev
Projective embeddings of homogeneous spaces with small boundary
15 pages
Izv. Ross. Akad. Nauk Ser. Mat. 73:3 (2009), 5-22; translation in Izvestiya Math. 73:3 (2009), 437-453
10.1070/IM2009v073n03ABEH002453
null
math.AG math.AC
null
We study open equivariant projective embeddings of homogeneous spaces such that the complement of the open orbit does not contain divisors. Criterions of existence of such an embedding are considered and finiteness of isomorphism classes of embeddings for a given homogeneous space is proved. Any embedding with small boundary is realized as a GIT-quotient associated with a linearization of the trivial line bundle on the space of the canonical embedding. The generalized Cox's construction and the theory of bunched rings allow us to describe basic geometric properties of embeddings with small boundary in combinatorial terms.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:23:07 GMT" } ]
2015-05-13T00:00:00
[ [ "Arzhantsev", "Ivan V.", "" ] ]
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801.1968
Iosif Galanakis
I. Galanakis, E. Sasioglu and K. Ozdogan
3d-electron induced magnetic phase transition in half-metallic semi-Heusler alloys
null
Physical Review B 77, 214417 (2008)
10.1103/PhysRevB.77.214417
null
cond-mat.mtrl-sci
null
We study the effect of the non-magnetic 3\textit{d} atoms on the magnetic properties of the half-metallic (HM) semi-Heusler alloys Co$_{1-x}$Cu$_{x}$MnSb and Ni$_{1-x}$Cu$_{x}$MnSb ($0 \leq x \leq 1$) using first-principles calculations. We determine the magnetic phase diagram of both systems at zero temperature and obtain a phase transition from a ferromagnetic to an antiferromagnetic state. For low Cu concentrations the ferromagnetic RKKY-like exchange mechanism is dominating, while the antiferromagnetic superexchange coupling becomes important for larger Cu content leading to the observed magnetic phase transition. A strong dependence of the magnetism in both systems on the position of the Fermi level within the HM gap is obtained. Obtained results are in good agreement with the available experimental data.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 16:24:54 GMT" } ]
2015-05-13T00:00:00
[ [ "Galanakis", "I.", "" ], [ "Sasioglu", "E.", "" ], [ "Ozdogan", "K.", "" ] ]
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801.1969
Pierre Albin
Pierre Albin, Frederic Rochon
Families index for manifolds with hyperbolic cusp singularities
Changed the convention used for eta forms
null
null
null
math.DG math.AP
null
Manifolds with fibered hyperbolic cusp metrics include hyperbolic manifolds with cusps and locally symmetric spaces of Q-rank one. We extend Vaillant's treatment of Dirac-type operators associated to these metrics by weaking the hypotheses on the boundary families through the use of Fredholm perturbations as in the family index theorem of Melrose and Piazza and by treating the index of families of such operators. We also extend the index theorem of Moroianu and Leichtnam-Mazzeo-Piazza to families of perturbed Dirac-type operators associated to fibered cusp metrics (sometimes known as fibered boundary metrics).
[ { "version": "v1", "created": "Mon, 14 Jan 2008 18:13:29 GMT" }, { "version": "v2", "created": "Tue, 8 Apr 2008 15:29:23 GMT" } ]
2008-04-08T00:00:00
[ [ "Albin", "Pierre", "" ], [ "Rochon", "Frederic", "" ] ]
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801.197
Hannes Jung
Hannes Jung
Vector meson cross sections at HERA
on behalf of the H1 and ZEUS Collaborations, to be published in Proceedings of ISMD07
Acta Phys.Polon.Supp.1:531-534,2008
null
null
hep-ex
null
Inelastic and elastic (exclusive) cross section measurements of vector meson production at HERA are discussed.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 17:20:10 GMT" } ]
2009-01-16T00:00:00
[ [ "Jung", "Hannes", "" ] ]
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801.1971
Guenter Nimtz
G. Nimtz and A.A. Stahlhofen
Comment on "Direct space-time observation of pulse tunneling in an electromagnetic band gap"
null
null
null
null
quant-ph
null
The investigation presented by Doiron, Hache, and Winful [Phys. Rev. A 76, 023823 (2007)] is not valid for the tunneling process as claimed in the paper.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 17:21:39 GMT" } ]
2008-01-15T00:00:00
[ [ "Nimtz", "G.", "" ], [ "Stahlhofen", "A. A.", "" ] ]
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801.1972
Joel Shapiro
Paul S. Bourdon and Joel H. Shapiro
Intertwining relations and extended eigenvalues for analytic Toeplitz operators
23 pages, one figure, pdfLaTex format
null
null
null
math.FA math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the intertwining relations between analytic Toeplitz operators induced on the Hardy space H^2 by analytic functions bounded on the open unit disc. Our work centers on the connection between intertwining between the Toeplitz operators the image containment between their symbols, as well as on the nature of the intertwining operator. We use our results to study the "extended eigenvalues" of analytic Toeplitz operators, i.e., the special case where the operator is intertwined with a scalar multiple of itself.
[ { "version": "v1", "created": "Sun, 13 Jan 2008 17:23:46 GMT" }, { "version": "v2", "created": "Tue, 31 Mar 2009 14:59:26 GMT" } ]
2009-03-31T00:00:00
[ [ "Bourdon", "Paul S.", "" ], [ "Shapiro", "Joel H.", "" ] ]
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