The covariant dissipation function for transient nonequilibrium states
Author(s)
Evans, Denis J.
Bernhardt, Debra
Williams, Stephen R.
Griffith University Author(s)
Year published
2010
Metadata
Show full item recordAbstract
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 ...
View more >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.
View less >
View more >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.
View less >
Journal Title
The Journal of Chemical Physics
Volume
133
Issue
5
Subject
Physical sciences
Thermodynamics and statistical physics
Chemical sciences
Chemical thermodynamics and energetics
Statistical mechanics in chemistry
Engineering