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Generalized superstatistics of nonequilibrium Markovian systems

Author

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  • Lubashevsky, Ihor
  • Friedrich, Rudolf
  • Heuer, Andreas
  • Ushakov, Andrey

Abstract

The paper is devoted to the construction of the superstatistical description for nonequilibrium Markovian systems. It is based on Kirchhoff’s diagram technique and the assumption on the system under consideration to possess a wide variety of cycles with vanishing probability fluxes. The latter feature enables us to introduce equivalence classes called channels within which detailed balance holds individually. Then stationary probability as well as flux distributions are represented as some sums over the channels. The latter construction actually forms the superstatistical description, which, however, deals with a certain superposition of equilibrium subsystems rather than a formal expansion of the nonequilibrium steady state distribution into terms of the Boltzmann type.

Suggested Citation

  • Lubashevsky, Ihor & Friedrich, Rudolf & Heuer, Andreas & Ushakov, Andrey, 2009. "Generalized superstatistics of nonequilibrium Markovian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4535-4550.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:21:p:4535-4550
    DOI: 10.1016/j.physa.2009.07.038
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    References listed on IDEAS

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    Keywords

    Quasistatistics; Markovian systems;

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