2003/03/07 by Luc Rey-Bellet, Rey-Bellet, Luc
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #math-ph #math.MP #math.PR
paper · pdf · doi:10.48550/arxiv.math-ph/0303021
To appear in Contemporary Mathematics AMS series
arxiv created 2003/03/07 · arxiv updated 2009/11/30
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 entropy production (positivity, Green-Kubo formulas and the Gallavotti-Cohen fluctuation theorem).This review will appear in the Proceedings of the 2002 UAB International Conference on Differential Equations and Mathematical Physics.