Interaction driven real-space condensation

Abstract

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.

4 pages

References in corpus (1)

• Factorised Steady States in Mass Transport Models on an Arbitrary Graph

Cited by in corpus (7)

• Intensive thermodynamic parameters in nonequilibrium systems
• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Instability of condensation in the zero-range process with random interaction
• Structure of the stationary state of the asymmetric target process
• Criticality and Condensation in a Non-Conserving Zero Range Process
• Condensation phenomena with distinguishable particles
• Factorised steady states for multi-species mass transfer models