### 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 |

### Fingerprint

### 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

*Journal of Statistical Physics*,

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

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

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 80, no. 1-2, pp. 69-102. https://doi.org/10.1007/BF02178354

}

TY - JOUR

T1 - Asymmetric exclusion model with two species

T2 - Spontaneous symmetry breaking

AU - Evans, M. R.

AU - Foster, D. P.

AU - Godrèche, C.

AU - Mukamel, D.

PY - 1995/7

Y1 - 1995/7

N2 - 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.

AB - 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.

KW - excluded volume

KW - phase transitions

KW - spontaneous symmetry breaking

KW - steady states

KW - Stochastic lattice gas

U2 - 10.1007/BF02178354

DO - 10.1007/BF02178354

M3 - Article

VL - 80

SP - 69

EP - 102

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -