Interaction driven real-space condensation

TL;DR

This paper investigates a broad class of stochastic mass transport models, revealing a generalized steady state form and a novel spatially extended condensation driven by interactions, with analysis linked to interface transitions.

Contribution

It introduces a generalized pair-factorized steady state and demonstrates how interactions lead to a fundamentally different, spatially extended condensation phenomenon.

Findings

Condensation is driven by interactions leading to extended condensates.

The steady state has a pair-factorized form generalizing standard models.

Condensation transition relates to solid-on-solid interface binding-unbinding.

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.