ASYMMETRIC EXCLUSION MODEL WITH 2 SPECIES - SPONTANEOUS SYMMETRY-BREAKING

Citation
Mr. Evans et al., ASYMMETRIC EXCLUSION MODEL WITH 2 SPECIES - SPONTANEOUS SYMMETRY-BREAKING, Journal of statistical physics, 80(1-2), 1995, pp. 69-102
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
80
Issue
1-2
Year of publication
1995
Pages
69 - 102
Database
ISI
SICI code
0022-4715(1995)80:1-2<69:AEMW2S>2.0.ZU;2-4
Abstract
A simple two-species asymmetric exclusion model is introduced. It cons ists of two types of oppositely charged particles driven by an electri c field and hopping on an open chain. The phase diagram of the model i s calculated in the mean-field approximation and by Monte Carlo simula tions. Exact solutions are given for special values of the parameters defining its dynamics. The model is found to exhibit two phases in whi ch spontaneous symmetry breaking takes place, where the two currents o f the two species are not equal.