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.

11 pages, 5 figure, uses IoP style file

References in corpus (4)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Spontaneous Symmetry Breaking in Two-Channel Asymmetric Exclusion Processes with Narrow Entrances
• Spurious phase in a model for traffic on a bridge
• Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system

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