Large deviation function for entropy production in driven one-dimensional systems

TL;DR

This paper derives the large deviation function for entropy production in a driven one-dimensional system, revealing non-Gaussian features and a kink at zero entropy production, with analytical insights from the asymmetric random walk model.

Contribution

It provides an exact calculation of the large deviation function for entropy production in a driven system, highlighting non-Gaussian behavior and a characteristic kink.

Findings

Large deviation function exhibits non-Gaussian behavior with a kink at zero entropy production.

Analytical solutions from the asymmetric random walk model support the numerical results.

Intermediate force regime shows pronounced deviations from Gaussian statistics.

Abstract

The large deviation function for entropy production is calculated for a particle driven along a periodic potential by solving a time-independent eigenvalue problem. In an intermediate force regime, the large deviation function shows pronounced deviations from a Gaussian behavior with a characteristic ``kink'' at zero entropy production. Such a feature can also be extracted from the analytical solution of the asymmetric random walk to which the driven particle can be mapped in a certain parameter range.