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

TL;DR

This paper introduces a two-species particle model with non-conserving dynamics, revealing spontaneous symmetry breaking and localized shocks, analyzed through mean-field and exact solutions, with implications for understanding phase transitions.

Contribution

The paper presents a novel two-species driven model with non-conserving bulk dynamics, providing phase diagrams and exact solutions that explain symmetry breaking phenomena.

Findings

Model exhibits spontaneous symmetry breaking.

Phase diagram mapped via mean-field and simulations.

Exact solutions in zero-fluctuation limit.

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.