Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-07-28
Journal of Physics A: Mathematical and Theoretical 41, 432002, 2008
Physics
Condensed Matter
Statistical Mechanics
11 pages, 5 figure, uses IoP style file
Scientific paper
10.1088/1751-8113/41/43/432002
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.
Evans Martin R.
Mukamel David
Popkov Vladislav
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