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

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

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 6273012

- Alternate Identifier(s):
- OSTI ID: 6273012

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

- Additional Journal Information:
- Journal Volume: 60:3; Journal ID: ISSN 1063-651X

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Crooks, G.E.
```*Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevE.60.2721.

```
Crooks, G.E.
```*Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences*. United States. doi:10.1103/PhysRevE.60.2721.

```
Crooks, G.E. Wed .
"Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences". United States. doi:10.1103/PhysRevE.60.2721.
```

```
@article{osti_6273012,
```

title = {Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences},

author = {Crooks, G.E.},

abstractNote = {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]},

doi = {10.1103/PhysRevE.60.2721},

journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},

issn = {1063-651X},

number = ,

volume = 60:3,

place = {United States},

year = {1999},

month = {9}

}

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