Statistical mechanics of anharmonic lattices

Details Statistical mechanics of anharmonic lattices Statistical mechanics of anharmonic lattices

2003-03-07

arxiv.org/abs/math-ph/0303021v1

Physics

Mathematical Physics

To appear in Contemporary Mathematics AMS series

Scientific paper

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.

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