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

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          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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          Most cited references 23

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          A Mathematical Theory of Communication

           C. Shannon (1948)
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            Equation of State Calculations by Fast Computing Machines

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              A nonequilibrium equality for free energy differences

               C Jarzynski (1996)
              An expression is derived for the classical free energy difference between two configurations of a system, in terms of an ensemble of finite-time measurements of the work performed in parametrically switching from one configuration to the other. Two well-known equilibrium identities emerge as limiting cases of this result.
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                Author and article information

                Journal
                29 January 1999
                1999-07-29
                10.1103/PhysRevE.60.2721
                cond-mat/9901352
                Custom metadata
                Phys. Rev. E 60, 2721 (1999)
                6 pages, 5 figures. Typos removed, references added. Includes an expanded introduction
                cond-mat.stat-mech

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