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Rate of relaxation for a mean-field zero-range process
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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. doi:10.1214/08-AAP549 ISSN 1050-5164.
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Official URL: http://dx.doi.org/10.1214/08-AAP549
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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.19 | ||||
Number: | No.2 | ||||
Page Range: | pp. 497-520 | ||||
DOI: | 10.1214/08-AAP549 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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