Asymmetric Exclusion Processes with Non-Factorizing Steady States

Marko Wölki, Andreas Schadschneider and Michael Schreckenberg
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Marko Wölki: Universität Duisburg-Essen, Theoretische Physik
Andreas Schadschneider: Universität zu Köln, Institut für Theoretische Physik
Michael Schreckenberg: Universität Duisburg-Essen, Theoretische Physik

A chapter in Traffic and Granular Flow’05, 2007, pp 473-479 from Springer

Abstract: Summary The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep all particles are updated in a random sequence. It is shown that in contrast to all other updates studied previously, the ASEP with shuffled update does not have a product measure steady state apart from some simple limits. Approximative formulas for the steady-state distribution and fundamental diagram are derived that are in very good agreement with simulation data.

Keywords: Periodic Boundary Condition; Interparticle Distance; Exclusion Process; Asymmetric Simple Exclusion Process; Density Regime (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_44

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DOI: 10.1007/978-3-540-47641-2_44

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