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Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
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Grosskinsky, Stefan and Schütz, G. M. (Gunter M.) (2008) Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process. Journal of Statistical Physics, Vol.132 (No.1). pp. 77-108. doi:10.1007/s10955-008-9541-z ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-008-9541-z
Abstract
We study a zero-range process where the jump rates do not only depend on the local particle configuration, but also on the size of the system. Rigorous results on the equivalence of ensembles are presented, characterizing the occurrence of a condensation transition. In contrast to previous results, the phase transition is discontinuous and the system exhibits ergodicity breaking and metastable phases. This leads to a richer phase diagram, including nonequivalence of ensembles in certain phase regions. The paper is motivated by results from granular clustering, where these features have been observed experimentally.
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: | Journal of Statistical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0022-4715 | ||||
Official Date: | July 2008 | ||||
Dates: |
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Volume: | Vol.132 | ||||
Number: | No.1 | ||||
Number of Pages: | 32 | ||||
Page Range: | pp. 77-108 | ||||
DOI: | 10.1007/s10955-008-9541-z | ||||
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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