Interaction driven real-space condensation

Details Interaction driven real-space condensation Interaction driven real-space condensation

2006-04-28

arxiv.org/abs/cond-mat/0604664v2

Physical Review Letters, Vol. 97, 010602 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevLett.97.010602

We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this class of models is driven by interactions which give rise to a spatially extended condensate that differs fundamentally from the previously studied examples. We present numerical results as well as a theoretical analysis of the condensation transition and show that the criterion for condensation is related to the binding-unbinding transition of solid-on-solid interfaces.

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