Asymmetric exclusion model with two species: Spontaneous symmetry breaking

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

doi:10.1007/BF02178354

Asymmetric exclusion model with two species: Spontaneous symmetry breaking

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

Research output: Contribution to journal › Article › peer-review

153 Citations (Scopus)

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
Pages (from-to)	69-102
Number of pages	34
Journal	Journal of Statistical Physics
Volume	80
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02178354
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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10.1007/BF02178354

Cite this

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title = "Asymmetric exclusion model with two species: Spontaneous symmetry breaking",

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.",

keywords = "excluded volume, phase transitions, spontaneous symmetry breaking, steady states, Stochastic lattice gas",

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year = "1995",

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PY - 1995/7

Y1 - 1995/7

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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

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DO - 10.1007/BF02178354

M3 - Article

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Asymmetric exclusion model with two species: Spontaneous symmetry breaking

Abstract

Keywords

ASJC Scopus subject areas

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