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Finite size effects and metastability in zero-range condensation
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Chleboun, Paul and Grosskinsky, Stefan (2010) Finite size effects and metastability in zero-range condensation. Journal of Statistical Physics, Vol.140 (No.5). pp. 846-872. doi:10.1007/s10955-010-0017-6 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-010-0017-6
Abstract
We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent research interest and is well understood in the thermodynamic limit. The system shows large finite size effects, and we observe a switching between metastable fluid and condensed phases close to the critical point, in contrast to the continuous limiting behaviour of relevant observables. We describe the leading order finite size effects and establish a discontinuity near criticality in a rigorous scaling limit. We also characterise the metastable phases using a current matching argument and an extension of the fluid phase to supercritical densities. This constitutes an interesting example where the thermodynamic limit fails to capture essential parts of the dynamics, which are particularly relevant in applications with moderate system sizes such as traffic flow or granular clustering.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Stochastic systems, Condensation | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0022-4715 | ||||
Official Date: | September 2010 | ||||
Dates: |
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Volume: | Vol.140 | ||||
Number: | No.5 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 846-872 | ||||
DOI: | 10.1007/s10955-010-0017-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 3 December 2015 | ||||
Date of first compliant Open Access: | 3 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/E501311/1 |
Data sourced from Thomson Reuters' Web of Knowledge
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