Abstract
We rigorously show that the probability to have a specific trajectory of an externally perturbed classical open system satisfies a universal symmetry for Hamiltonian dynamics. It connects the ratio between the probabilities of time forward and reversed trajectories to a degree of the time reversal asymmetry of the final phase space distribution in a model-independent framework. Especially, it amounts to a nonequilibrium generalization of the detailed balance between the probabilities of the forward and reversed trajectories under the condition that the initial phase space distribution is described by an equilibrium ensemble. An expression of the microscopic reversibility for the subsystem is also derived based on this relation.
| Original language | English |
|---|---|
| Pages (from-to) | 1058-1068 |
| Number of pages | 11 |
| Journal | Journal of Statistical Physics |
| Volume | 149 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2012 Dec |
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Keywords
- Microscopic reversibility
- Nonequilibrium processes
- Open systems
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Microscopic Reversibility for Nonequilibrium Classical Open Systems : Hamiltonian Approach. / Monnai, Takaaki.
In: Journal of Statistical Physics, Vol. 149, No. 6, 12.2012, p. 1058-1068.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Microscopic Reversibility for Nonequilibrium Classical Open Systems
T2 - Hamiltonian Approach
AU - Monnai, Takaaki
PY - 2012/12
Y1 - 2012/12
N2 - We rigorously show that the probability to have a specific trajectory of an externally perturbed classical open system satisfies a universal symmetry for Hamiltonian dynamics. It connects the ratio between the probabilities of time forward and reversed trajectories to a degree of the time reversal asymmetry of the final phase space distribution in a model-independent framework. Especially, it amounts to a nonequilibrium generalization of the detailed balance between the probabilities of the forward and reversed trajectories under the condition that the initial phase space distribution is described by an equilibrium ensemble. An expression of the microscopic reversibility for the subsystem is also derived based on this relation.
AB - We rigorously show that the probability to have a specific trajectory of an externally perturbed classical open system satisfies a universal symmetry for Hamiltonian dynamics. It connects the ratio between the probabilities of time forward and reversed trajectories to a degree of the time reversal asymmetry of the final phase space distribution in a model-independent framework. Especially, it amounts to a nonequilibrium generalization of the detailed balance between the probabilities of the forward and reversed trajectories under the condition that the initial phase space distribution is described by an equilibrium ensemble. An expression of the microscopic reversibility for the subsystem is also derived based on this relation.
KW - Microscopic reversibility
KW - Nonequilibrium processes
KW - Open systems
UR - http://www.scopus.com/inward/record.url?scp=84871302241&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871302241&partnerID=8YFLogxK
U2 - 10.1007/s10955-012-0643-2
DO - 10.1007/s10955-012-0643-2
M3 - Article
AN - SCOPUS:84871302241
VL - 149
SP - 1058
EP - 1068
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 6
ER -