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Exclusion Processes with Internal States

2006/05/31 by Tobias Reichenbach, Thomas Franosch, Erwin Frey · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.97.050603

published as Phys. Rev. Lett. 97, 050603 (2006) · 4 pages, 3 figures. Version as published in Phys. Rev. Lett

openalex publication_date 2006/08/02 · arxiv created 2008/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing nonequilibrium steady states are controllable by boundary as well as bulk rates. A striking polarization phenomenon accompanied by domain wall motion and delocalization is discovered within a mesoscopic scaling. We quantify this observation within an analytic description providing exact phase diagrams. Our results are confirmed by stochastic simulations.

Citations

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