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1983
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Mots-clés
Master equation ; Irreversibility ; Birth-and-death process ; Lattice model ; CorrelationsSujets proches
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Yves Elskens et al., « Decay of correlations and master equation in Kac' lattice model », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1983.57344
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Résumé
We discuss on a simple discrete time spin model how a deterministic classical evolution may be transformed into a stochastic process. Simple averaging over a population of fixed scatterers yields a non-markovian microscopic evolution and is not compatible with a macroscopic description in terms of populations. Coupling each scatter-er to an independent reservoir leads to a Markov process in phase space, which can be projected on a macroscopic birth and death process. Some limiting cases (continuous time interpolation, ...) are considered.