Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System

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

doi:10.1103/PhysRevLett.74.208

Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System

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

Phys. Rev. Lett. 74, 208 – Published 9 January 1995

Abstract

A simple model of a driven diffusive system which exhibits spontaneous symmetry breaking in one dimension is introduced. The model has short range interactions and unbounded noise. It is characterized by an asymmetric exclusion process of two types of charges moving in opposite directions on an open chain. The model is studied by mean field and Monte Carlo methods. Exact solutions can be found in a restricted region of its parameter space. A simple physical picture for the symmetry breaking mechanism is presented.

Received 6 July 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.208

Authors & Affiliations

M. R. Evans^1,2, D. P. Foster³, C. Godrèche^2,3, and D. Mukamel^2,4,*

¹Laboratoire de Physique Statistique de l'École Normale Supérieure, 24 rue Lhomond, F-75231 Paris 05 Cedex, France
²Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB2 0EH, United Kingdom
³Service de Physique de l'État Condensé, Centre d'Études de Saclay, F-91191 Gif-sur-Yvette Cedex, France
⁴Department of Physics of Complex Systems, Weizmann Institute, Rehovot 76100, Israel