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

    Fingerprint

    Reversibility
    Open Systems
    Non-equilibrium
    trajectories
    Trajectory
    Phase Space
    Hamiltonian Dynamics
    Detailed Balance
    Time Reversal
    Asymmetry
    Subsystem
    Ensemble
    asymmetry
    Symmetry
    symmetry
    Model

    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 journalArticle

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