Time reversibility, correlation decay and the steady state fluctuation relation for dissipation

Debra J. Searles*, Barbara M. Johnston, Denis J. Evans, Lamberto Rondoni

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    13 Citations (Scopus)

    Abstract

    Steady state fluctuation relations for nonequilibrium systems are under intense investigation because of their important practical implications in nanotechnology and biology. However the precise conditions under which they hold need clarification. Using the dissipation function, which is related to the entropy production of linear irreversible thermodynamics, we show time reversibility, ergodic consistency and a recently introduced form of correlation decay, called T-mixing, are sufficient conditions for steady state fluctuation relations to hold. Our results are not restricted to a particular model and show that the steady state fluctuation relation for the dissipation function holds near or far from equilibrium subject to these conditions. The dissipation function thus plays a comparable role in nonequilibrium systems to thermodynamic potentials in equilibrium systems.

    Original languageEnglish
    Pages (from-to)1503-1515
    Number of pages13
    JournalEntropy
    Volume15
    Issue number5
    DOIs
    Publication statusPublished - May 2013

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