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Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences

Gavin E. Crooks
Phys. Rev. E 60, 2721 – Published 1 September 1999
An article within the collection: PRE Milestones and the Physical Review E 25th Anniversary Milestones
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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.

  • Received 17 February 1999

DOI:https://doi.org/10.1103/PhysRevE.60.2721

©1999 American Physical Society

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This article appears in the following collections:

PRE Milestones

Physical Review E published its 50,000th paper in September 2015. To celebrate this, the journal presents a series of milestone papers that were published since its inception in 1993. This is an eclectic collection of papers that made significant contributions to their field, chosen by the editors. A new milestone will be added each week.

Physical Review E 25th Anniversary Milestones

The year 2018 marks the 25th anniversary of Physical Review E. To celebrate the journal’s rich legacy, during the upcoming year we highlight a series of papers that made important contributions to their field. These milestone articles were nominated by members of the Editorial Board of Physical Review E, in collaboration with the journal’s editors. The 25 milestone articles, including an article for each calendar year from 1993 through 2017 and spanning all major subject areas of the journal, will be unveiled in chronological order and will be featured on the journal website.

Authors & Affiliations

Gavin E. Crooks*

  • Department of Chemistry, University of California at Berkeley, Berkeley, California 94720

  • *Electronic address: gavinc@garnet.berkeley.edu

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Issue

Vol. 60, Iss. 3 — September 1999

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