Spontaneous symmetry breaking in a bridge model fed by junctions
Abstract
We introduce a class of 1D models mimicking a single-lane bridge with two junctions and two particle species driven in opposite directions. The model exhibits spontaneous symmetry breaking (SSB) for a range of injection/extraction rates. In this phase the steady state currents of the two species are not equal. Moreover there is a co-existence region in which the symmetry broken phase co-exists with a symmetric phase. Along a path in which the extraction rate is varied, keeping the injection rate fixed and large, hysteresis takes place. The mean field phase diagram is calculated and supporting Monte-Carlo simulations are presented. One of the transition lines exhibits a kink, a feature which cannot exist in transition lines of equilibrium phase transitions.
Cite
@article{arxiv.0807.4443,
title = {Spontaneous symmetry breaking in a bridge model fed by junctions},
author = {Vladislav Popkov and Martin R. Evans and David Mukamel},
journal= {arXiv preprint arXiv:0807.4443},
year = {2011}
}
Comments
11 pages, 5 figure, uses IoP style file