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Path-ensemble averages in systems driven far from equilibrium
Open accessAbstract
The Kawasaki nonlinear response relation, the transient fluctuation theorem, and the Jarzynski nonequilibrium work relation are all expressions that describe the behavior of a system that has been driven from equilibrium by an external perturbation. In contrast to linear response theory, these expressions are exact no matter the strength of the perturbation, or how far the system has been driven away from equilibrium. In this paper, I show that these three relations (and several other closely related results) can all be considered special cases of a single theorem. This expression is explicitly derived for discrete time and space Markovian dynamics, with the additional assumptions that the unperturbed dynamics preserve the appropriate equilibrium ensemble, and that the energy of the system remains finite.
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Cited by
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300
Liphardt, J., Dumont, S., Smith, S. B., Tinoco, I., & Bustamante, C. (2002) · Science · doi:10.1126/science.1071152 · Cited by 1,243
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
Jarzynski, C. (2011) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-062910-140506 · Cited by 1,012
Free energy reconstruction from nonequilibrium single-molecule pulling experiments
Hummer, G., & Szabo, A. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.071034098 · Cited by 983
Wang, G. M., Sevick, E. M., Mittag, E., Searles, D. J., & Evans, D. J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.050601 · Cited by 936
Metadata
- Authors
- Crooks, G. E.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2000-03-01
- Volume
- 61
- Issue
- 3
- Pages
- 2361-2366
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2035078255
- Cited by
- 951
- References
- 0
- FWCI
- 5.75
- Type
- journal article
- Language
- en
- Open access
- green
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