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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. 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
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Stochastic systems, Condensation
Journal or Publication Title:	Journal of Statistical Physics
Publisher:	Springer
ISSN:	0022-4715
Date:	July 2008
Volume:	Vol.132
Number:	No.1
Number of Pages:	32
Page Range:	pp. 77-108
Identification Number:	10.1007/s10955-008-9541-z
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/30017