Condensation Transitions in Two Species Zero-Range Process
Abstract
We study condensation transitions in the steady state of a zero-range process with two species of particles. The steady state is exactly soluble -- it is given by a factorised form provided the dynamics satisfy certain constraints -- and we exploit this to derive the phase diagram for a quite general choice of dynamics. This phase diagram contains a variety of new mechanisms of condensate formation, and a novel phase in which the condensate of one of the particle species is sustained by a `weak' condensate of particles of the other species. We also demonstrate how a single particle of one of the species (which plays the role of a defect particle) can induce Bose-Einstein condensation above a critical density of particles of the other species.
Cite
@article{arxiv.cond-mat/0308284,
title = {Condensation Transitions in Two Species Zero-Range Process},
author = {T. Hanney and M. R. Evans},
journal= {arXiv preprint arXiv:cond-mat/0308284},
year = {2009}
}
Comments
17 pages, 4 Postscript figures