Remarks on non-Hamiltonian statistical mechanics: Lyapunov exponents and phase-space dimensionality loss

William Graham Hoover, Harald Posch, Kenichiro Aoki, D Kusnezov

    Publications: Contribution to journalArticlePeer Reviewed

    Abstract

    The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less than that of the equilibrium phase space, corresponding to the extreme rarity of nonequilibrium states. Here we take advantage of a simple model for heat conduction to demonstrate that the nonequilibrium dimensionality loss can definitely exceed the number of phase-space dimensions required to thermostat an otherwise Hamiltonian system.
    Original languageEnglish
    Pages (from-to)337-341
    Number of pages5
    JournalEurophysics Letters
    Volume60
    Issue number3
    DOIs
    Publication statusPublished - 2002

    Austrian Fields of Science 2012

    • 1030 Physics, Astronomy

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