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Article Dans Une Revue Physical Review Letters Année : 2005

Chaotic properties of systems with Markov dynamics

Résumé

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.

Dates et versions

hal-00016457 , version 1 (05-01-2006)

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Vivien Lecomte, Cécile Appert-Rolland, Frédéric van Wijland. Chaotic properties of systems with Markov dynamics. Physical Review Letters, 2005, 95 (1), pp.010601. ⟨10.1103/PhysRevLett.95.010601⟩. ⟨hal-00016457⟩
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