Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system

Abstract

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there is a region in parameter space with broken symmetry in the steady state. The sublattice update is deterministic in the bulk and allows for a detailed analysis of the relaxation dynamics, so that symmetry breaking can be shown to be the result of an amplification mechanism of fluctuations. In contrast to previously considered models, this leads to a proof for spontaneous symmetry breaking which is valid throughout the whole region in parameter space with a symmetry broken steady state.

7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:cond-mat/0612004

References in corpus (4)

• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• Spontaneous Symmetry Breaking in a Non-Conserving Two-Species Driven Model
• Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
• Infinite reflections of shock fronts in driven diffusive systems with two species

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• Robustness of spontaneous symmetry breaking in a bridge model
• Non-Markovian Models of Blocking in Concurrent and Countercurrent Flows
• Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
• Unusual shock wave in two-species driven systems with an umbilic point
• A mass transport model with a simple non-factorized steady-state distribution
• Boundary-driven phase transitions in open two-species driven systems with an umbilic point
• Dynamical aspects of spontaneous symmetry breaking in driven flow with exclusion