Condensation transitions in a one-dimensional zero-range process with a single defect site

AG Angel*, MR Evans, D Mukamel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Condensation occurs in nonequilibrium steady states when a finite fraction of the 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.

Original languageEnglish
Article number04001
Number of pages16
Journal Journal of Statistical Mechanics: Theory and Experiment
DOIs
Publication statusPublished - Apr 2004

Keywords

  • driven diffusive systems (theory)
  • stochastic particle dynamics (theory)
  • PHASE-TRANSITIONS
  • TRAFFIC FLOW
  • CELLULAR-AUTOMATA
  • SYSTEMS
  • MODELS
  • STATES

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