### Abstract

We investigate the stationary states of a two-dimensional lattice gas model with exclusion, in the presence of an external field. The lattice is populated by equal numbers of positively and negatively charged particles. An analytical mean-field approach and Monte Carlo simulations give strong evidence of the fact that at any finite density the only relevant stationary state of the system in the thermodynamic limit is inhomogeneous, consisting of a strip of particles transverse to the field. In the inhomogeneous phase, the density profiles and the current measured by Monte Carlo simulations are closely related to those found in mean field. The same is true for the finite-size behavior of the system.

Original language | English |
---|---|

Pages (from-to) | 1129-1151 |

Number of pages | 23 |

Journal | Journal of Statistical Physics |

Volume | 76 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - Sep 1994 |

Externally published | Yes |

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### Keywords

- excluded volume
- phase segregation
- steady states
- Stochastic lattice gas

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Statistical Physics*,

*76*(5-6), 1129-1151. https://doi.org/10.1007/BF02187058

**Finite-size effects for phase segregation in a two-dimensional asymmetric exclusion model with two species.** / Foster, D. P.; Godrèche, C.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 76, no. 5-6, pp. 1129-1151. https://doi.org/10.1007/BF02187058

}

TY - JOUR

T1 - Finite-size effects for phase segregation in a two-dimensional asymmetric exclusion model with two species

AU - Foster, D. P.

AU - Godrèche, C.

PY - 1994/9

Y1 - 1994/9

N2 - We investigate the stationary states of a two-dimensional lattice gas model with exclusion, in the presence of an external field. The lattice is populated by equal numbers of positively and negatively charged particles. An analytical mean-field approach and Monte Carlo simulations give strong evidence of the fact that at any finite density the only relevant stationary state of the system in the thermodynamic limit is inhomogeneous, consisting of a strip of particles transverse to the field. In the inhomogeneous phase, the density profiles and the current measured by Monte Carlo simulations are closely related to those found in mean field. The same is true for the finite-size behavior of the system.

AB - We investigate the stationary states of a two-dimensional lattice gas model with exclusion, in the presence of an external field. The lattice is populated by equal numbers of positively and negatively charged particles. An analytical mean-field approach and Monte Carlo simulations give strong evidence of the fact that at any finite density the only relevant stationary state of the system in the thermodynamic limit is inhomogeneous, consisting of a strip of particles transverse to the field. In the inhomogeneous phase, the density profiles and the current measured by Monte Carlo simulations are closely related to those found in mean field. The same is true for the finite-size behavior of the system.

KW - excluded volume

KW - phase segregation

KW - steady states

KW - Stochastic lattice gas

U2 - 10.1007/BF02187058

DO - 10.1007/BF02187058

M3 - Article

VL - 76

SP - 1129

EP - 1151

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -