Condensation and Clustering in the Driven Pair Exclusion Process

Details Condensation and Clustering in the Driven Pair Exclusion Process Condensation and Clustering in the Driven Pair Exclusion Process

2012-03-05

arxiv.org/abs/1203.0867v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.3938/jkps.60.576

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

Affiliated with

Also associated with

No associations

Rating

Condensation and Clustering in the Driven Pair Exclusion Process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Condensation and Clustering in the Driven Pair Exclusion Process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Condensation and Clustering in the Driven Pair Exclusion Process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-132767