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

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

1999-01-29

arxiv.org/abs/cond-mat/9901352v4

Phys. Rev. E 60, 2721 (1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures. Typos removed, references added. Includes an expanded introduction

Scientific paper

10.1103/PhysRevE.60.2721

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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