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

Journal Article · Wed Sep 01 04:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.2721· OSTI ID:6273012

Crooks, G E ^[1]

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1. Department of Chemistry, University of California at Berkeley, Berkeley, California 94720 (United States)

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. [copyright] [ital 1999] [ital The American Physical Society]

• OSTI ID: 6273012
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Vol. 60:3; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY
ENTROPY
FLUCTUATIONS
FREE ENERGY
MECHANICS
PHYSICAL PROPERTIES
PROBABILITY
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
VARIATIONS
WORK