The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences

1999/01/31 by Gavin E. Crooks · 5 citations
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.60.2721

published as Phys. Rev. E 60, 2721 (1999) · 6 pages, 5 figures. Typos removed, references added. Includes an expanded introduction

arxiv created 1999/07/29 · arxiv updated 2009/11/30

Abstract

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability distribution of nonequilibrium systems. Another recently discovered far-from-equilibrium expression relates nonequilibrium measurements of the work done on a system to equilibrium free energy differences. In this paper, we derive a generalized version of the fluctuation theorem for stochastic, microscopically reversible dynamics. Invoking this generalized theorem provides a succinct proof of the nonequilibrium work relation.

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