2009

Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices

Satya N. Majumdar 1, Massimo Vergassola 2 Physical Review Letters 102 (2009) 060601 We present a simple Coulomb gas method to calculate analytically the probability of rare events where the maximum eigenvalue of a random matrix is much larger than its typical value. The large deviation function that characterizes this probability is computed explicitly for Wishart and Gaussian ensembles. […]

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Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnets

Revaz Ramazashvili 1, 2 Physical Review B 79 (2009) 184432 In this article, I analyze the symmetries and degeneracies of electron eigenstates in a commensurate collinear antiferromagnet. In a magnetic field transverse to the staggered magnetization, a hidden anti-unitary symmetry protects double degeneracy of the Bloch eigenstates at a special set of momenta. In addition to this `Kramers

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Ground State and Excitations of Quantum Dots with ‘Magnetic Impurities’

R. K. Kaul 1, 2, D. Ullmo 3, G. Zarand 4, 5, S. Chandrasekharan 6, H. U. Baranger 6 Physical Review B 80 (2009) 035318 We consider an ‘impurity’ with a spin degree of freedom coupled to a finite reservoir of non-interacting electrons, a system which may be realized by either a true impurity in a metallic nano-particle or a small quantum dot coupled to a large

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Fluctuating hydrodynamics for driven granular gases

P. Maynar 1, M. I. Garcia de Soria 1, E. Trizac 2 The European Physical Journal Special Topics 179, 1 (2009) 123-139 We study a granular gas heated by a stochastic thermostat in the dilute limit. Starting from the kinetic equations governing the evolution of the correlation functions, a Boltzmann-Langevin equation is constructed. The spectrum of the corresponding linearized Boltzmann-Fokker-Planck operator

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Fluctuating hydrodynamics for dilute granular gases

J. Javier Brey 1, P. Maynar 1, 2, M. I. Garcia de Soria 1, 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2009) 051305 Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is constructed. This

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Exit and Occupation times for Brownian Motion on Graphs with General Drift and Diffusion Constant

O. Benichou 1, J. Desbois 2 Journal of Physics A Mathematical and Theoretical 42 (2009) 015004 We consider a particle diffusing along the links of a general graph possessing some absorbing vertices. The particle, with a spatially-dependent diffusion constant D(x) is subjected to a drift U(x) that is defined in every point of each link. We establish the boundary

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Energy fluctuations in a randomly driven granular fluid

M. I. Garcia de Soria 1, P. Maynar 2, 3, E. Trizac 1 Molecular Physics 107, 4 (2009) 383-392 We study the behavior of the energy fluctuations in the stationary state of a uniformly heated granular gas. The equation for the one-time two-particle correlation function is derived and the hydrodynamic eigenvalues are identified. Explicit predictions are subsequently worked out for energy fluctuations.

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