Coarsening dynamics in a two-species zero-range process

TL;DR

This paper investigates the coarsening dynamics of a two-species zero-range process, revealing how condensate formation and growth depend on hop rates and symmetry, supported by analytical and simulation results.

Contribution

It provides a detailed analysis of coarsening exponents in a two-species zero-range process, linking them to hop rate functions and symmetry, with predictions validated by simulations.

Findings

Coarsening exponents depend on hop rate form.

Symmetry of hopping influences condensate growth.

Analytical predictions match Monte Carlo simulations.

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.