Statistical mechanics of anharmonic lattices
Luc Rey-Bellet
TL;DR
This review discusses the statistical mechanics of anharmonic oscillators coupled to heat reservoirs, focusing on stationary states, entropy production, and fluctuation theorems, providing a comprehensive overview of theoretical developments in this area.
Contribution
It synthesizes recent advances in understanding stationary states and entropy production in anharmonic lattice systems, highlighting ergodic properties and fluctuation theorems.
Findings
Existence of stationary states in anharmonic lattices
Positivity of entropy production and Green-Kubo relations
Validation of Gallavotti-Cohen fluctuation theorem
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.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques