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

Abstract

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.

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

References in corpus (2)

• Structure of large random hypergraphs
• Spectral gap for the zero range process with constant rate