Asymmetric exclusion model with two species: Spontaneous symmetry breaking

M. R. Evans, D. P. Foster, C. Godrèche, D. Mukamel

Research output: Contribution to journalArticle

132 Citations (Scopus)

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 meanfield 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
DOIs
Publication statusPublished - Jul 1995
Externally publishedYes

Fingerprint

Spontaneous Symmetry Breaking
exclusion
broken symmetry
Mean Field
Phase Diagram
Electric Field
charged particles
Monte Carlo Simulation
Exact Solution
phase diagrams
Model
electric fields
Approximation
approximation
simulation

Keywords

  • excluded volume
  • phase transitions
  • spontaneous symmetry breaking
  • steady states
  • Stochastic lattice gas

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Asymmetric exclusion model with two species : Spontaneous symmetry breaking. / Evans, M. R.; Foster, D. P.; Godrèche, C.; Mukamel, D.

In: Journal of Statistical Physics, Vol. 80, No. 1-2, 07.1995, p. 69-102.

Research output: Contribution to journalArticle

Evans, M. R. ; Foster, D. P. ; Godrèche, C. ; Mukamel, D. / Asymmetric exclusion model with two species : Spontaneous symmetry breaking. In: Journal of Statistical Physics. 1995 ; Vol. 80, No. 1-2. pp. 69-102.
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