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

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.

References in corpus (7)

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• Fluctuation theorems for stochastic dynamics
• An Extension of the Fluctuation Theorem
• The Einstein relation generalized to non-equilibrium
• A numerical approach to large deviations in continuous-time
• Work fluctuations for a Brownian particle between two thermostats
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State