Entropy production in the non-equilibrium steady states of interacting many-body systems

Abstract

Entropy production is one of the most important characteristics of non-equilibrium steady states. We study here the steady-state entropy production, both at short times as well as in the long-time limit, of two important classes of non-equilibrium systems: transport systems and reaction-diffusion systems. The usefulness of the mean entropy production rate and of the large deviation function of the entropy production for characterizing non-equilibrium steady states of interacting many-body systems is discussed. We show that the large deviation function displays a kink-like feature at zero entropy production that is similar to that observed for a single particle driven along a periodic potential. This kink is a direct consequence of the detailed fluctuation theorem fulfilled by the probability distribution of the entropy production and is therefore a generic feature of the corresponding large deviation function.

7 figures, to appear in Physical Review E

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• Entropy production in exactly solvable systems
• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Extreme fluctuations of active Brownian motion
• Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
• Entropy production in nonequilibrium steady states: A different approach and an exactly solvable canonical model
• Entropy production of a bound nonequilibrium interface
• Scaling of Entropy Production under Coarse Graining in Active Disordered Media
• Probability distributions with singularities
• On non-equilibrium physics and string theory
• Periodic frequencies of the cycles in $2\times 2$ games: evidence from experimental economics
• Entropy production and large deviation function for systems with microscopically irreversible transitions
• Particle current fluctuations in a particle-nonconserving process