Spontaneous Symmetry Breaking in a Non-Conserving Two-Species Driven Model

Abstract

A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between the two species. The model exhibits a rich behavior which includes spontaneous symmetry breaking and localized shocks. The phase diagram in several regions of parameter space is calculated within mean-field approximation, and compared with Monte-Carlo simulations. In the limit where fluctuations in the number of particles in the system are taken to zero, an exact solution is obtained. We present and analyze a physical picture which serves to explain the different phases of the model.

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• Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system
• Nonequilibrium Criticality at Shock Formation in Steady States
• Traffic by multiple species of molecular motors
• Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
• Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
• Robustness of spontaneous symmetry breaking in a bridge model
• Phase diagram and density large deviations of a nonconserving ABC model
• Phase-plane analysis of the totally asymmetric simple exclusion process with binding kinetics and switching between antiparallel lanes
• Ergodicity breaking in one-dimensional reaction-diffusion systems
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• Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
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• A Multispecies Exclusion Model Inspired By Transcriptional Interference
• A biologically motivated three-species exclusion model: effects of leaky scanning and overlapping genes on initiation of protein synthesis