The covariant dissipation function for transient nonequilibrium states

Evans, Denis J., Searles, Debra J. and Williams, Stephen R. (2010) The covariant dissipation function for transient nonequilibrium states. Journal of Chemical Physics, 133 5: . doi:10.1063/1.3463439

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Author Evans, Denis J.
Searles, Debra J.
Williams, Stephen R.
Title The covariant dissipation function for transient nonequilibrium states
Journal name Journal of Chemical Physics   Check publisher's open access policy
ISSN 0021-9606
Publication date 2010-08
Sub-type Article (original research)
DOI 10.1063/1.3463439
Open Access Status File (Publisher version)
Volume 133
Issue 5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Institute of Physics
Language eng
Abstract It has recently become apparent that the dissipation function, first defined by Evans and Searles [J. Chem. Phys. 113, 3503 (2000)] , is one of the most important functions in classical nonequilibrium statistical mechanics. It is the argument of the Evans–Searles fluctuation theorem, the dissipation theorem, and the relaxation theorems. It is a function of both the initial distribution and the dynamics. We pose the following question: How does the dissipation function change if we define that function with respect to the time evolving phase space distribution as one relaxes from the initial equilibrium distribution toward the nonequilibrium steady state distribution? We prove that this covariant dissipation function has a rather simple fixed relationship to the dissipation function defined with respect to the initial distribution function. We also show that there is no exact, time-local, Evans–Searles nonequilibrium steady state fluctuation relation for deterministic systems. Only an asymptotic version exists.
Keyword Fluctuation theorem
Steady state
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes Article #054507

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Chemistry and Molecular Biosciences
Australian Institute for Bioengineering and Nanotechnology Publications
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Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
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