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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.
ISSN 1050-5164

**Full text not available from this repository.**

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 |
---|---|

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 |

Official 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 |

References: | [1] CSISZÁR, I. (1967). Information-type measures of difference of probability distributions and |

URI: | http://wrap.warwick.ac.uk/id/eprint/41071 |

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