Coarsening dynamics in a two-species zero-range process

Details Coarsening dynamics in a two-species zero-range process Coarsening dynamics in a two-species zero-range process

2004-12-21

arxiv.org/abs/cond-mat/0412593v2

Phys. Rev. E 72(1), 016129 (2005)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 7 figures

Scientific paper

10.1103/PhysRevE.72.016129

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.

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