Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
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
WRAP_Grossinsky_Discontinuous_condensation_transition.pdf - Accepted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Official URL: http://dx.doi.org/10.1007/s10955-008-9541-z
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|
|Official Date:||July 2008|
|Number of Pages:||32|
|Page Range:||pp. 77-108|
|Access rights to Published version:||Open Access|
 Andjel, E.: Invariant measures for the zero range process. Ann. Probab.
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