Interaction-driven Real-space Condensation

The authors study condensation in mass transfer models with interactions between neighbouring sites. For a broad class of mass transfer rates, the steady state of the model is found to have a pair factorised form. Interaction between particles at neighbouring sites, also changes the nature of condensation, giving rise to spatially extended condensates, as oppposed to a single condensate found in models without interaction such as the Zero Range Process. The authors examine in detail, a form of interaction for which the model maps on to models of solid on solid interfaces and show that the criterion for condensation in the mass transfer model is related to the binding-unbinding transition in the interface model.

Reference: M. R. Evans, T. Hanney, and S. N. Majumdar, Phys. Rev. Lett. 97, 010602 (2006)

http://prl.aps.org/abstract/PRL/v97/i1/e010602