Coarsening dynamics in a two-species zero-range process

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Abstract

We consider a zero-range process with two species of interacting particles. The steady state phase
diagram of this model shows a variety of condensate phases in which a single site contains a finite
fraction of all the particles in the system. Starting from a homogeneous initial distribution, we study
the coarsening dynamics in each of these condensate phases, which is expected to follow a scaling
law. Random walk arguments are used to predict the coarsening exponents in each condensate
phase. They are shown to depend on the form of the hop rates and on the symmetry of the hopping
dynamics. The analytic predictions are found to be in good agreement with the results of Monte
Carlo simulations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Particles -- Mathematical models, Stochastic systems
Journal or Publication Title: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Publisher: American Physical Society
ISSN: 1550-2376
Official Date: July 2005
Dates:
Date
Event
July 2005
Published
Volume: Vol.72
Number: No.1
DOI: 10.1103/PhysRevE.72.016129
Status: Peer Reviewed
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 16 December 2015
Date of first compliant Open Access: 16 December 2015
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: GR/S10377/01 (EPSRC)
URI: https://wrap.warwick.ac.uk/35908/

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