Microscopic Reversibility for Nonequilibrium Classical Open Systems: Hamiltonian Approach

Takaaki Monnai

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)1058-1068
    Number of pages11
    JournalJournal of Statistical Physics
    Volume149
    Issue number6
    DOIs
    Publication statusPublished - 2012 Dec

    Keywords

    • Microscopic reversibility
    • Nonequilibrium processes
    • Open systems

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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