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

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

2003-11-10

arxiv.org/abs/cond-mat/0311218v1

J. Phys. A : Math. Gen. 37, 3333 (2004).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/37/10/002

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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