### 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 language | English |
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Pages (from-to) | 69-102 |

Number of pages | 34 |

Journal | Journal of Statistical Physics |

Volume | 80 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jul 1995 |

Externally published | Yes |

### Keywords

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

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Evans, M. R., Foster, D. P., Godrèche, C., & Mukamel, D. (1995). Asymmetric exclusion model with two species: Spontaneous symmetry breaking.

*Journal of Statistical Physics*,*80*(1-2), 69-102. https://doi.org/10.1007/BF02178354