50 citations · 50 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Fourier's Law: a Challenge for Theorists
F. Bonetto, J. L. Lebowitz, L. Rey-Bellet
We present a selective overview of the current state of our knowledge (more precisely of ourignorance) regarding the derivation of Fourier's Law, ${\bf J}(\br) =-κ{\bf \nabla}T(\br…