Phase Coexistence in Driven One-Dimensional Transport

2003/01/24 by A. Parmeggiani, Andrea Parmeggiani, Thomas Franosch +3 · 34 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.90.086601

published as Phys. Rev. Lett. 90, 086601 (2003) · 4 pages, 3 figures. Accepted for publication on Phys. Rev. Lett

arxiv created 2003/01/24 · openalex publication_date 2003/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are characterized by a phase coexistence of low and high density regions separated by domain walls. We use a mean-field approach to interpret the numerical results obtained by Monte Carlo simulations, and we predict the phase diagram of this nonconserved dynamics in the thermodynamic limit.

Citations

• An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Phase Transitions and Critical Phenomena

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