ASYMMETRIC EXCLUSION MODEL WITH 2 SPECIES - SPONTANEOUS SYMMETRY-BREAKING

MR EVANS*, DP FOSTER, C GODRECHE, D MUKAMEL

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A simple two-species asymmetric exclusion model is introduced. It consists of two types of oppositely charged particles driven by an electric field and hopping on an open chain. The phase diagram of the model is calculated in the mean-field approximation and by Monte Carlo simulations. Exact solutions are given for special values of the parameters defining its dynamics. The model is found to exhibit two phases in which spontaneous symmetry breaking takes place, where the two currents of the two species are not equal.

Original languageEnglish
Pages (from-to)69-102
Number of pages34
JournalJournal of Statistical Physics
Volume80
Issue number1-2
Publication statusPublished - Jul 1995
Externally publishedYes

Keywords

  • STOCHASTIC LATTICE GAS
  • EXCLUDED VOLUME
  • STEADY STATES
  • PHASE TRANSITIONS
  • SPONTANEOUS SYMMETRY BREAKING
  • PHASE-TRANSITIONS
  • ELECTROPHORESIS
  • FLUCTUATIONS
  • DIFFUSION
  • DRIVEN
  • WAVES

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