Chaotic properties of systems with Markov dynamics

Details Chaotic properties of systems with Markov dynamics Chaotic properties of systems with Markov dynamics

2005-05-19

arxiv.org/abs/cond-mat/0505483v1

Phys. Rev. Lett. 95 010601 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, to appear in the Physical Review Letters

Scientific paper

10.1103/PhysRevLett.95.010601

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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