## Abstract

Recent studies have shown that one-dimensional driven systems can exhibit phase separation even if the dynamics is governed by local rules. The ABC model, which comprises three particle species that diffuse asymmetrically around a ring, shows anomalous coarsening into a phase separated steady state. In the limiting case in which the dynamics is symmetric and the parameter q describing the asymmetry tends to one, no phase separation occurs and the steady state of the system is disordered. In the present work, we consider the weak asymmetry regime q=exp(-beta/N), where N is the system size, and study how the disordered state is approached. In the case of equal densities, we find that the system exhibits a second-order phase transition at some nonzero beta(c). The value of beta(c)=2piroot3 and the optimal profiles can be obtained by writing the exact large deviation functional. For nonequal densities, we write down mean-field equations and analyze some of their predictions.

Original language | English |
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Article number | 066115 |

Number of pages | 8 |

Journal | Physical Review E - Statistical, Nonlinear and Soft Matter Physics |

Volume | 67 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 2003 |

## Keywords

- DRIVEN DIFFUSIVE SYSTEMS
- ASYMMETRIC EXCLUSION MODEL
- LOW AUTOCORRELATION
- BINARY SEQUENCES
- FIELD-THEORY
- LATTICE-GAS
- SEPARATION
- STATES
- CONDENSATION
- BREAKING