Condensation Transitions in a One-Dimensional Zero-Range Process with a Single Defect Site

Details Condensation Transitions in a One-Dimensional Zero-Range Process with a Single Defect Site Condensation Transitions in a One-Dimensional Zero-Range Process with a Single Defect Site

2004-01-15

arxiv.org/abs/cond-mat/0401262v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 4 figures, revtex4

Scientific paper

10.1088/1742-5468/2004/04/P04001

Condensation occurs in nonequilibrium steady states when a finite fraction of particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The system is analysed in the grand canonical and canonical ensembles and the two are contrasted. Two distinct condensation mechanisms are found in the grand canonical ensemble. Discrepancies between the infinite and large but finite systems' particle current versus particle density diagrams are investigated and an explanation for how the finite current goes above a maximum value predicted for infinite systems is found in the canonical ensemble.

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