Fluctuations of the Entropy Production in Anharmonic Chains

TL;DR

This paper proves the Gallavotti-Cohen fluctuation theorem for heat conduction in a chain of anharmonic oscillators connected to reservoirs at different temperatures, advancing understanding of nonequilibrium statistical mechanics.

Contribution

It establishes the fluctuation theorem for a specific anharmonic chain model, providing a rigorous mathematical proof.

Findings

Gallavotti-Cohen fluctuation theorem holds for the model

Provides a rigorous proof in the context of anharmonic chains

Enhances theoretical understanding of heat conduction and entropy production

Abstract

We prove the Gallavotti-Cohen fluctuation theorem for a model of heat conduction through a chain of anharmonic oscillators coupled to two Hamiltonian reservoirs at different temperatures.