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

D. P. Foster, C. Godrèche

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish
Pages (from-to)1129-1151
Number of pages23
JournalJournal of Statistical Physics
Volume76
Issue number5-6
DOIs
Publication statusPublished - Sep 1994
Externally publishedYes

Fingerprint

Finite Size Effects
Segregation
Stationary States
exclusion
Mean Field
Monte Carlo Simulation
Lattice Gas Model
Density Profile
Thermodynamic Limit
External Field
Strip
strip
charged particles
Transverse
simulation
thermodynamics
profiles
gases
Model
Evidence

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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

In: Journal of Statistical Physics, Vol. 76, No. 5-6, 09.1994, p. 1129-1151.

Research output: Contribution to journalArticle

@article{11efacd9c7214e8abc4fa07172a4fd40,
title = "Finite-size effects for phase segregation in a two-dimensional asymmetric exclusion model with two species",
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.",
keywords = "excluded volume, phase segregation, steady states, Stochastic lattice gas",
author = "Foster, {D. P.} and C. Godr{\`e}che",
year = "1994",
month = "9",
doi = "10.1007/BF02187058",
language = "English",
volume = "76",
pages = "1129--1151",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer Verlag",
number = "5-6",

}

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 -