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Zero-range processes with multiple condensates: statics and dynamics

Schwarzkopf, Y. and Evans, M. R. and Mukamel, D. (2008) Zero-range processes with multiple condensates: statics and dynamics. Journal of Physics A: Mathematical and Theoretical, 41 (20). p. 205001. ISSN 1751-8113. http://resolver.caltech.edu/CaltechAUTHORS:SCHWjpa08

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Abstract

The steady-state distributions and dynamical behaviour of zero-range processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first results in a condensed phase containing a large (but subextensive) number of mesocondensates each containing a subextensive number of particles. The second results in a condensed phase containing a finite number of extensive condensates. We study the scaling behaviour of the peak in the distribution function corresponding to the condensates in both cases. In studying the dynamics of the condensate we identify two timescales: one for creation, the other for evaporation of condensates at a given site. The scaling behaviour of these timescales is studied within the Arrhenius law approach and by numerical simulations.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2008. Received 28 January 2008, in final form 26 March 2008. Published 23 April 2008. Print publication: Issue 20 (23 May 2008). We thank Attila Rakos for useful discussions. This study was partially supported by the Israel Science Foundation (ISF). Visits of MRE to the Weizmann Institute were supported by the Albert Einstein Minerva Center for Theoretical Physics. Visits of DM to Edinburgh were supported by the EPSRC programme grant GR/S10377/01. We thank the Isaac Newton Institute in Cambridge, UK, for kind hospitality during the programme ‘Principles of Dynamics of Nonequilibrium Systems’ where part of this project was carried out.
Record Number:CaltechAUTHORS:SCHWjpa08
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SCHWjpa08
Alternative URL:http://dx.doi.org/10.1088/1751-8113/41/20/205001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10661
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:30 May 2008
Last Modified:26 Dec 2012 10:03

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