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Instability of condensation in the zero-range process with random interaction

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Grosskinsky, Stefan, Chleboun, P. I. (Paul I.) and Schütz, G. M. (Gunter M.). (2008) Instability of condensation in the zero-range process with random interaction. Physical Review E, Vol.78 (No.3). Article no. 030101(R). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.78.030101

Abstract

The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the presence of quenched disorder in the particle interactions. Using rigorous probabilistic arguments, we show that disorder changes the critical exponent in the interaction strength below which a condensation transition may occur. The local critical densities may exhibit large fluctuations, and their distribution shows an interesting crossover from exponential to algebraic behavior.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Stochastic systems, Condensation
Journal or Publication Title:	Physical Review E
Publisher:	American Physical Society
ISSN:	1539-3755
Date:	4 September 2008
Volume:	Vol.78
Number:	No.3
Number of Pages:	4
Page Range:	Article no. 030101(R)
Identification Number:	10.1103/PhysRevE.78.030101
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/29242