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28 March 2024
 
  » arxiv » cond-mat/0505483

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Chaotic properties of systems with Markov dynamics
Vivien Lecomte ; Cecile Appert-Rolland ; Frederic van Wijland ;
Date 19 May 2005
Subject Statistical Mechanics; Chaotic Dynamics | cond-mat.stat-mech nlin.CD
AbstractWe 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.
Source arXiv, cond-mat/0505483
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