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

Theory of Soft Condensed Matter, Université du Luxembourg, Luxembourg, L-1511 Luxembourg.
Physical Review E (Impact Factor: 2.29). 03/2011; 83(3 Pt 1):031107. DOI: 10.1103/PhysRevE.83.031107
Source: PubMed


Entropy production is one of the most important characteristics of nonequilibrium 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 nonequilibrium 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 nonequilibrium 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.

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