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arXiv:0712.2599 [math.PR]AbstractReferencesReviewsResources

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

Benjamin T. Graham

Published 2007-12-16, updated 2009-06-12Version 2

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.

Comments: 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)
Journal: Annals of Applied Probability 2009, Vol. 19, No. 2, 497-520
Categories: math.PR
Subjects: 60K35, 82C20
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