Graham, Benjamin T.. (2009) Rate of relaxation for a mean-field zero-range process. The Annals of Applied Probability, Vol.19 (No.2). pp. 497-520. ISSN 1050-5164

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Mean field theory, Markov processes, Relaxation methods (Mathematics), Logarithmic functions
Journal or Publication Title:	The Annals of Applied Probability
Publisher:	Institute of Mathematical Statistics
ISSN:	1050-5164
Date:	2009
Volume:	Vol.19
Number:	No.2
Page Range:	pp. 497-520
Identification Number:	10.1214/08-AAP549
Status:	Peer Reviewed
Publication Status:	Published
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URI:	http://wrap.warwick.ac.uk/id/eprint/41071

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