Entropy Production in Driven Spatially Extended Systems
Abstract
This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production can be identified with a logarithmic ratio of microstate multiplicities of the original macrostate with respect to the time-reversed state. A special role is taken by Gibbs measures for the stationary spatio-temporal distribution of trajectories. The mean entropy production is always non-negative and it is zero only when the system is in equilibrium. The fluctuations of the entropy production satisfy a (Gallavotti-Cohen)symmetry first observed and then derived for the phase space contraction rate in a class of strongly chaotic dynamical systems. Aspects of the general framework are illustrated via a bulk driven diffusive lattice gas.
Keywords
Cite
@article{arxiv.cond-mat/0101064,
title = {Entropy Production in Driven Spatially Extended Systems},
author = {Christian Maes},
journal= {arXiv preprint arXiv:cond-mat/0101064},
year = {2015}
}