Interaction driven real-space condensation

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

Physical Review Letters 97 (2006) 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.

  • 1. SUPA and School of Physics,
    University of Edinburgh
  • 2. Isaac Newton Institute for Mathematical Sciences,
    Isaac Newton Institute for Mathematical Sciences
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud