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Entropy increase in dynamical systems

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Abstract

The rate of increase of the non-equilibrium entropy introduced by Goldstein and Penrose, defined on nonstationary probability measures for an abstract dynamical system, is quantitatively related to the Kolmogorov-Sinai entropy of the system. It is shown in particular that for ergodic systems the asymptotic rate of entropy increase coincides with the Kolmogorov-Sinai entropy.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Sheldon Goldstein

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  1. Sheldon Goldstein
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Supported in part by NSF Grant No. PHY 78-03816.

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Goldstein, S. Entropy increase in dynamical systems. Israel J. Math. 38, 241–256 (1981). https://doi.org/10.1007/BF02760809

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  • DOI: https://doi.org/10.1007/BF02760809

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