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Markov evolution and H-theorem under finite coarse graining in conservative dynamical systems

par Courbage, Maurice ;Nicolis, Grégoire
Référence Europhysics Letters, 11, page (1)
Publication Publié, 1990

Article révisé par les pairs

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Résumé :

The necessary and sufficient conditions in order that a coarse graining with respect to a partition with finite number of cells leads to a Markovian evolution with a monotonically increasing entropy in abstract conservative dynamical systems are derived. These conditions are in particular verified when the symbolic dynamics associated to the partition induces a Markov chain. In this case the irreversible approach to equilibrium entails that the system should have a Bernoulli factor. © 1990 The Japan Society of Applied Physics.