Condensation Transitions in Two Species Zero-Range Process

Details Condensation Transitions in Two Species Zero-Range Process Condensation Transitions in Two Species Zero-Range Process

2003-08-14

arxiv.org/abs/cond-mat/0308284v1

Phys. Rev. E 69, 016107 (2004)

Physics

Condensed Matter

Statistical Mechanics

17 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevE.69.016107

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.

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