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.

arXiv comment17 pages, 4 Postscript figures

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• Condensation transitions in a model for a directed network with weighted links
• Bose--Einstein Condensation in the Large Deviations Regime with Applications to Information System Models
• Coarsening dynamics in a two-species zero-range process
• A mass transport model with a simple non-factorized steady-state distribution
• Nonequilibrium phase transition in a non integrable zero-range process
• Cytoskeleton and Cell Motility
• Phase separation transition of reconstituting k-mers in one dimension
• A multi-species model with interconversion, chipping and injection
• Zero-range process with long-range interactions at a T-junction
• Reentrant condensation transition in a two species driven diffusive system
• Factorised steady states for multi-species mass transfer models