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Asymmetric exclusion model with two species: Spontaneous symmetry breaking |
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| Authors: | M R Evans D P Foster C Godrèche D Mukamel |
| Institution: | (1) Laboratoire de Physique Statistique (Laboratoire associé au Centre National de la Recherche Scientifique et aux Universités Paris VI et Paris VII), École Normale Supérieure, 75231 Paris Cedex 05, France;(2) Service de Physique de l'État Condensé, Centre d'Études de Saclay, 91191 Gif-sur-Yvette Cedex, France;(3) Newton Institute for Mathematical Sciences, CB2 OEH Cambridge, UK;(4) Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel |
| 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: | Stochastic lattice gas excluded volume steady states phase transitions spontaneous symmetry breaking |
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