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Chaotic properties of systems with Markov dynamics

Vivien Lecomte·Cecile Appert-Rolland·Frederic van Wijland
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Abstract

We present a general approach for computing the dynamic partition function of a continuous-time Markov process. The Ruelle topological pressure is identified with the large deviation function of a physical observable. We construct for the first time a corresponding finite Kolmogorov-Sinai entropy for these processes. Then, as an example, the latter is computed for a symmetric exclusion process. We further present the first exact calculation of the topological pressure for an N-body stochastic interacting system, namely an infinite-range Ising model endowed with spin-flip dynamics. Expressions for the Kolmogorov-Sinai and the topological entropies follow.

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BibTeXRIS

Vivien Lecomte, Cecile Appert-Rolland, Frederic van Wijland. 2005-05-19. Chaotic properties of systems with Markov dynamics. https://doi.org/10.1103/physrevlett.95.010601

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