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math-ph2004★ 50 cited
Large deviations in quantum lattice systems: one-phase region
Marco Lenci, Luc Rey-Bellet
We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general in…
math-ph2003
Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
Luc Rey-Bellet, Lawrence E. Thomas
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev s…
math-ph2003
Statistical mechanics of anharmonic lattices
Luc Rey-Bellet
This paper is a review on the statistical mechanics of anharmonic oscillators coupled to heat reservoirs. We discuss stationary states (existence and ergodic properties) and entrop…