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Time-Reversed Dynamical Entropy and Irreversibility in Markovian Random Processes

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An Erratum to this article was published on 10 November 2006

Abstract

A concept of time-reversed entropy per unit time is introduced in analogy with the entropy per unit time by Shannon, Kolmogorov, and Sinai. This time-reversed entropy per unit time characterizes the dynamical randomness of a stochastic process backward in time, while the standard entropy per unit time characterizes the dynamical randomness forward in time. The difference between the time-reversed and standard entropies per unit time is shown to give the entropy production of Markovian processes in nonequilibrium steady states.

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Authors and Affiliations

  1. Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Brussels, Belgium

    Pierre Gaspard

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  1. Pierre Gaspard
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An erratum to this article is available at http://dx.doi.org/10.1007/s10955-006-9198-4.

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Gaspard, P. Time-Reversed Dynamical Entropy and Irreversibility in Markovian Random Processes. Journal of Statistical Physics 117, 599–615 (2004). https://doi.org/10.1007/s10955-004-3455-1

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  • DOI: https://doi.org/10.1007/s10955-004-3455-1

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