Condensation and Clustering in the Driven Pair Exclusion Process

Abstract

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 $m_{\mathrm{con}}\sim N^{\beta }$ and the number of condensates $N_{\mathrm{con}}\sim N^{\alpha }$ 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.

4 pages, 5 figures

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Cited by in corpus (1)

• Percolation transitions with nonlocal constraint