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Entropy decay for interacting systems via the Bochner-Bakry-Émery approach. (English) Zbl 1286.60097
Summary: We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In particular, we obtain volume- independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
39B62 Functional inequalities, including subadditivity, convexity, etc.
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
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