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Statistical mechanics of anharmonic lattices

Mathematical Physics 2007-05-23 v1 math.MP Probability

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0303021,
  title  = {Statistical mechanics of anharmonic lattices},
  author = {Luc Rey-Bellet},
  journal= {arXiv preprint arXiv:math-ph/0303021},
  year   = {2007}
}

Comments

To appear in Contemporary Mathematics AMS series

R2 v1 2026-07-22T16:22:39.581Z