Rate of relaxation for a mean-field zero-range process
Probability
2009-06-12 v2
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.
Keywords
Cite
@article{arxiv.0712.2599,
title = {Rate of relaxation for a mean-field zero-range process},
author = {Benjamin T. Graham},
journal= {arXiv preprint arXiv:0712.2599},
year = {2009}
}
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)