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Coarsening dynamics in a two-species zero-range process
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Grosskinsky, Stefan and Hanney, T. (2005) Coarsening dynamics in a two-species zero-range process. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.72 (No.1). doi:10.1103/PhysRevE.72.016129 ISSN 1550-2376.
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1070268-lb-080711-wrap_grossinsky_coarsening_dynamics_two.pdf - Accepted Version - Requires a PDF viewer. Download (391Kb) |
Official URL: http://dx.doi.org/10.1103/PhysRevE.72.016129
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 | ||||
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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: |
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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) |
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