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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. doi:10.1016/j.spa.2007.09.006 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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | August 2008 | ||||
Dates: |
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Volume: | Vol.118 | ||||
Number: | No.8 | ||||
Number of Pages: | 29 | ||||
Page Range: | pp. 1322-1350 | ||||
DOI: | 10.1016/j.spa.2007.09.006 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 14 December 2015 | ||||
Date of first compliant Open Access: | 14 December 2015 |
Data sourced from Thomson Reuters' Web of Knowledge
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