title: Chaotic properties of systems with Markov dynamics.
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.
authors.affiliation: Laboratoire de Physique Théorique (CNRS UMR8627), Bâtiment 210, Université Paris-Sud, 91405 Orsay cedex, France.
authors.forename: V
authors.initials: V
authors.lastname: Lecomte
authors.forename: C
authors.initials: C
authors.lastname: Appert-Rolland
authors.forename: F
authors.initials: F
authors.lastname: van Wijland