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A non-equilibrium free energy theorem for deterministic systems
Abstract
Jarzynski and Crooks have recently shown that equilibrium free energy differences can be computed from non-equilibrium thermodynamic path integrals. In the present paper we give a new derivation of this extraordinary relation. Our derivation which is valid for time reversible deterministic systems highlights the close relationship between the non-equilibrium free energy theorems and the fluctuation theorem.
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“It is interesting to note that a tendency to disorder or the second law of thermodynamics (which applies only to closed systems) can be resisted by appealing to the more general tendency of (open) systems to reduce their freeenergy (Gontar 2000;Evans 2003).”
From Action and behavior: a free-energy formulation (2010) · cites this paper as Evans 2003
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References 14 · Cited by 100
Research works printed but not linked: 13
- 10.1103/PhysRevLett.71.2401 · DOI
- 10.1103/PhysRevE.50.1645 · DOI
- 10.1103/PhysRevE.60.159 · DOI
- 10.1023/A:1006759703505 · DOI
- 10.1103/PhysRevE.63.051105 · DOI
- 10.1007/BF02179860 · DOI
- 10.1088/0305-4470/31/16/003 · DOI
- 10.1023/A:1004589714161 · DOI
- 10.1080/00018730210155133 · DOI
- 10.1103/PhysRevLett.89.050601 · DOI
- 10.1103/PhysRevLett.78.2690 · DOI
- 10.1023/A:1023208217925 · DOI
- Evans D. J., 1990, Statistical Mechanics of Nonequilibrium Liquids
Metadata
- Authors
- EVANS, D. J.
- Affiliations
- Australian National University (AU)
- Corresponding author
- EVANS, DENIS J.
- Venue
- Molecular Physics
- Publisher
- Informa UK Limited
- Published
- 2003-05-20
- Volume
- 101
- Issue
- 10
- Pages
- 1551-1554
- ISSN
- 0026-8976 (ISSN-L)
- 1362-3028
- OpenAlex
- W2061097716
- Cited by
- 100
- References
- 14
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 2 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 3 · 2017: 3 · 2016: 3 · 2015: 1 · 2014: 5 · 2013: 3 · 2012: 3
- FWCI
- 3.84
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Molecular Physics (publishedVersion)
- ANU Open Research (Australian National University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Thermodynamic Systems and Engines
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- Jarzynski equality, Crooks relation, free energy difference, non-equilibrium thermodynamics, deterministic systems, time-reversible dynamics, fluctuation theorems, path integral
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- The paper
- EVANS, D. J. (2003). A non-equilibrium free energy theorem for deterministic systems. Molecular Physics. https://doi.org/10.1080/0026897031000085173