Interaction driven real-space condensation

M. R. Evans (1, 2) , T. Hanney (1, 2) , Satya N. Majumdar (2, 3)

1 SUPA School of Physics and Astronomy [Edinburgh]
2 Isaac Newton Institute for Mathematical Sciences
3 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Domaines: Autre [cond-mat.other]

M. R. Evans, T. Hanney, Satya N. Majumdar. Interaction driven real-space condensation. Physical Review Letters, 2006, 97, pp.010602. ⟨hal-00085510⟩