No current without heat

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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To appear in the Journal of Statistical Physics (2002)

Scientific paper

We show for a large class of interacting particle systems that whenever the stationary measure is not reversible for the dynamics, then the mean entropy production in the steady state is strictly positive. This extends to the thermodynamic limit the equivalence between microscopic reversibility and zero mean entropy production: time-reversal invariance cannot be spontaneously broken.

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