Modelling one-dimensional driven diffusive systems by the Zero-Range Process

MR Evans*, E Levine, PK Mohanty, D Mukamel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The recently introduced correspondence between one-dimensional two-species driven models and the Zero-Range Process is extended to study the case where the densities of the two species need not be equal. The correspondence is formulated through the length dependence of the current emitted from a particle domain. A direct numerical method for evaluating this current is introduced, and used to test the assumptions underlying this approach. In addition, a model for isolated domain dynamics is introduced, which provides a simple way to calculate the current also for the non-equal density case. This approach is demonstrated and applied to a particular two-species model, where a phase separation transition line is calculated.

Original languageEnglish
Pages (from-to)223-230
Number of pages8
JournalThe European Physical Journal B
Volume41
Issue number2
DOIs
Publication statusPublished - Sep 2004

Keywords

  • SIMPLE EXCLUSION PROCESS
  • TRANSLATIONAL INVARIANCE
  • SPONTANEOUS BREAKING
  • STATIONARY STATES
  • PHASE-SEPARATION
  • LATTICE-GAS
  • SPATIAL CONDENSATION
  • RING
  • DYNAMICS
  • TRANSITIONS

Fingerprint

Dive into the research topics of 'Modelling one-dimensional driven diffusive systems by the Zero-Range Process'. Together they form a unique fingerprint.

Cite this