2008/07/28 by Vladislav Popkov, Martin R Evans, Martin R. Evans +1 · 3 citations
Physics and Astronomy · #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8113/41/43/432002
published as Journal of Physics A: Mathematical and Theoretical 41, 432002, 2008 · 11 pages, 5 figure, uses IoP style file
arxiv created 2008/07/28 · openalex publication_date 2008/10/01 · arxiv updated 2011/04/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.