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Equivalence of ensembles for two-species zero-range invariant measures

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Grosskinsky, Stefan. (2008) Equivalence of ensembles for two-species zero-range invariant measures. Stochastic Processes and their Applications, Vol.118 (No.8). pp. 1322-1350. ISSN 0304-4149

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Official URL: http://dx.doi.org/10.1016/j.spa.2007.09.006

Abstract

We study the equivalence of ensembles for stationary measures of interacting particle systems with two conserved quantities and unbounded local state space. The main motivation is a condensation transition in the zero-range process which has recently attracted attention. Establishing the equivalence of ensembles via convergence in specific relative entropy, we derive the phase diagram for the condensation transition, which can be understood in terms of the domain of grand-canonical measures. Of particular interest, also from a mathematical point of view, are the convergence properties of the Gibbs free energy on the boundary of that domain, involving large deviations and multivariate local limit theorems of subexponential distributions.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Stochastic systems, Condensation
Journal or Publication Title:	Stochastic Processes and their Applications
Publisher:	Elsevier Science BV
ISSN:	0304-4149
Date:	August 2008
Volume:	Vol.118
Number:	No.8
Number of Pages:	29
Page Range:	pp. 1322-1350
Identification Number:	10.1016/j.spa.2007.09.006
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/29607