del Molino, L. C. G., Chleboun, P. I. (Paul I.) and Grosskinsky, Stefan. (2012) Condensation in randomly perturbed zero-range processes. Journal of Physics A: Mathematical and Theoretical, Vol.45 (No.20). Article no. 205001. ISSN 1751-8113

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Abstract

The zero-range process is a stochastic interacting particle system that exhibits a condensation transition under certain conditions on the dynamics. It has recently been found that a small perturbation of a generic class of jump rates leads to a drastic change of the phase diagram and prevents condensation in an extended parameter range. We complement this study with rigorous results on a finite critical density and quenched free energy in the thermodynamic limit as well as quantitative heuristic results for small and large noise which are supported by detailed simulation data. While our new results support the initial findings, they also shed new light on the actual (limited) relevance in large finite systems, which we discuss via fundamental diagrams obtained from exact numerics for finite systems.

Item Type:	Journal Article
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of Physics A: Mathematical and Theoretical
Publisher:	IOP Publishing Ltd
ISSN:	1751-8113
Date:	2012
Volume:	Vol.45
Number:	No.20
Page Range:	Article no. 205001
Identification Number:	10.1088/1751-8113/45/20/205001
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/48965

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