Condensation and clustering in the driven pair exclusion process

Sang Woo Kim, Jae Dong Noh

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1 Scopus citations


We investigate particle condensation in a driven pair exclusion process on one- and two-dimensional lattices under the periodic boundary condition. The model describes a biased hopping of particles subject to a pair exclusion constraint that each particle cannot stay at a same site with its pre-assigned partner. The pair exclusion causes a mesoscopic condensation characterized by the scaling of the condensate size m con ~ N β and the number of condensates N con ~ N α with the total number of sites N. Those condensates are distributed randomly without hopping bias. We find that the hopping bias generates a spatial correlation among condensates so that a cluster of condensates appears. Especially, the cluster has an anisotropic shape in the two-dimensional system. The mesoscopic condensation and the clustering are studied by means of numerical simulations.

Original languageEnglish
Pages (from-to)576-580
Number of pages5
JournalJournal of the Korean Physical Society
Issue number4
StatePublished - Feb 2012


  • Clustering
  • Condensation
  • Driven diffusive system


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