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

2008/04/02 by Jakob Mehl, Thomas Speck, Udo Seifert · 2 citations
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Thermal properties of materials #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.78.011123

published as Phys. Rev. E 78, 011123 (2008)

arxiv created 2008/04/02 · openalex publication_date 2008/07/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The large deviation function for entropy production is calculated by solving a time-independent eigenvalue problem for a particle driven along a periodic potential. 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.

Citations

• A numerical approach to large deviations in continuous time
• Extension of the Fluctuation Theorem
• Stochastic Processes in Physics and Chemistry

Cited by

• Computation of Current Cumulants for Small Nonequilibrium Systems
• Variational formula for experimental determination of high-order correlations of current fluctuations in driven systems