Rate of relaxation for a mean-field zero-range process

Mathematics – Probability

Scientific paper

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Published in at http://dx.doi.org/10.1214/08-AAP549 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/08-AAP549

We study the zero-range process on the complete graph. It is a Markov chain
model for a microcanonical ensemble. We prove that the process converges to a
fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs
distribution.

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