Journal of Statistical Physics

, Volume 80, Issue 1–2, pp 69–102 | Cite as

Asymmetric exclusion model with two species: Spontaneous symmetry breaking

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


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.

Key Words

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


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • M. R. Evans
    • 1
  • D. P. Foster
    • 2
  • C. Godrèche
    • 2
    • 3
  • D. Mukamel
    • 3
    • 4
  1. 1.Laboratoire de Physique Statistique (Laboratoire associé au Centre National de la Recherche Scientifique et aux Universités Paris VI et Paris VII)École Normale SupérieureParis Cedex 05France
  2. 2.Service de Physique de l'État CondenséCentre d'Études de SaclayGif-sur-Yvette CedexFrance
  3. 3.Newton Institute for Mathematical SciencesCambridgeUK
  4. 4.Department of Physics of Complex SystemsWeizmann Institute of ScienceRehovotIsrael

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