Verification of time-reversibility requirement for systems satisfying the Evans-Searles fluctuation theorem

Emil Mittag; Denis J. Evans; Stephen R. Williams

doi:10.1351/pac200779081361

Verification of time-reversibility requirement for systems satisfying the Evans-Searles fluctuation theorem

Emil Mittag, Denis J. Evans^*, Stephen R. Williams

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The Evans-Searles fluctuation theorem (ESFT) has been shown to be applicable in the near- and far-from-equilibrium regimes for systems with both constant and time-dependent external fields. The derivations of the ESFT have assumed that the external field has a definite parity under a time-reversal mapping. In the present paper, we confirm that the time-reversibility of the system dynamics is a necessary condition for the ESFT to hold. The manner in which the ESFT fails for systems that are not time-reversible is presented, and results are shown which demonstrate that systems which fail to satisfy the ESFT may still satisfy the Crooks relation (CR).

Original language	English
Pages (from-to)	1361-1368
Number of pages	8
Journal	Pure and Applied Chemistry
Volume	79
Issue number	8
DOIs	https://doi.org/10.1351/pac200779081361
Publication status	Published - Aug 2007

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title = "Verification of time-reversibility requirement for systems satisfying the Evans-Searles fluctuation theorem",

abstract = "The Evans-Searles fluctuation theorem (ESFT) has been shown to be applicable in the near- and far-from-equilibrium regimes for systems with both constant and time-dependent external fields. The derivations of the ESFT have assumed that the external field has a definite parity under a time-reversal mapping. In the present paper, we confirm that the time-reversibility of the system dynamics is a necessary condition for the ESFT to hold. The manner in which the ESFT fails for systems that are not time-reversible is presented, and results are shown which demonstrate that systems which fail to satisfy the ESFT may still satisfy the Crooks relation (CR).",

keywords = "Dynamical systems, Fluctuation theorem, Molecular dynamics, Nonequilibrium, Statistical mechanics, Time reversibility",

author = "Emil Mittag and Evans, {Denis J.} and Williams, {Stephen R.}",

year = "2007",

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T1 - Verification of time-reversibility requirement for systems satisfying the Evans-Searles fluctuation theorem

AU - Mittag, Emil

AU - Evans, Denis J.

AU - Williams, Stephen R.

PY - 2007/8

Y1 - 2007/8

N2 - The Evans-Searles fluctuation theorem (ESFT) has been shown to be applicable in the near- and far-from-equilibrium regimes for systems with both constant and time-dependent external fields. The derivations of the ESFT have assumed that the external field has a definite parity under a time-reversal mapping. In the present paper, we confirm that the time-reversibility of the system dynamics is a necessary condition for the ESFT to hold. The manner in which the ESFT fails for systems that are not time-reversible is presented, and results are shown which demonstrate that systems which fail to satisfy the ESFT may still satisfy the Crooks relation (CR).

AB - The Evans-Searles fluctuation theorem (ESFT) has been shown to be applicable in the near- and far-from-equilibrium regimes for systems with both constant and time-dependent external fields. The derivations of the ESFT have assumed that the external field has a definite parity under a time-reversal mapping. In the present paper, we confirm that the time-reversibility of the system dynamics is a necessary condition for the ESFT to hold. The manner in which the ESFT fails for systems that are not time-reversible is presented, and results are shown which demonstrate that systems which fail to satisfy the ESFT may still satisfy the Crooks relation (CR).

KW - Dynamical systems

KW - Fluctuation theorem

KW - Molecular dynamics

KW - Nonequilibrium

KW - Statistical mechanics

KW - Time reversibility

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DO - 10.1351/pac200779081361

M3 - Article

SN - 0033-4545

VL - 79

SP - 1361

EP - 1368

JO - Pure and Applied Chemistry

JF - Pure and Applied Chemistry

IS - 8

ER -

Verification of time-reversibility requirement for systems satisfying the Evans-Searles fluctuation theorem

Abstract

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