Particle Condensation in Pair Exclusion Process

Details Particle Condensation in Pair Exclusion Process Particle Condensation in Pair Exclusion Process

2010-01-20

arxiv.org/abs/1001.3563v1

Phys. Rev. E {\bf 81}, 051120 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figure

Scientific paper

10.1103/PhysRevE.81.051120

Condensation is characterized with a single macroscopic condensate whose mass is proportional to a system size $N$. We demonstrate how important particle interactions are in condensation phenomena. We study a modified version of the zero-range process by including a pair exclusion. Each particle is associated with its own partner, and particles of a pair are forbidden to stay at the same site. The pair exclusion is weak in that a particle interacts with only a single one among all others. It turns out that such a weak interaction changes the nature of condensation drastically. There appear a number of mesoscopic condensates: the mass of a condensate scales as $m_{\rm con}\sim N^{1/2}$ and the number of condensates scales as $N_{\rm con} \sim N^{1/2}$ with a logarithmic correction. These results are derived analytically through a mapping to a solvable model under a certain assumption, and confirmed numerically.

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