Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical Mechanics

Authors

L Rey-Bellet, University of Massachusetts - AmherstFollow
L Thomas

Publication Date

2001

Journal or Book Title

Communications in Mathematical Physics

Abstract

We continue the study of a model for heat conduction [6] consisting of a chain of non-linear oscillators coupled to two Hamiltonian heat reservoirs at different temperatures. We establish existence of a Liapunov function for the chain dynamics and use it to show exponentially fast convergence of the dynamics to a unique stationary state. Ingredients of the proof are the reduction of the infinite dimensional dynamics to a finite-dimensional stochastic process as well as a bound on the propagation of energy in chains of anharmonic oscillators.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/qajgj1ejgp1j3ccr/

Pages

305-329

Volume

255

Issue

2

Recommended Citation

Rey-Bellet, L and Thomas, L, "Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical Mechanics" (2001). Communications in Mathematical Physics. 1178.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1178