Grosskinsky, Stefan, Chleboun, Paul 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). doi:10.1103/PhysRevE.78.030101 ISSN 1539-3755.

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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, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > 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
Official Date:	4 September 2008
Dates:	Date Event 4 September 2008 Published
Volume:	Vol.78
Number:	No.3
Number of Pages:	4
Page Range:	Article no. 030101(R)
DOI:	10.1103/PhysRevE.78.030101
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	14 December 2015
Date of first compliant Open Access:	14 December 2015

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