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Asymmetric Exclusion Processes with Non-Factorizing Steady States

In: Traffic and Granular Flow’05

Author

Listed:
  • Marko Wölki

    (Universität Duisburg-Essen, Theoretische Physik)

  • Andreas Schadschneider

    (Universität zu Köln, Institut für Theoretische Physik)

  • Michael Schreckenberg

    (Universität Duisburg-Essen, Theoretische Physik)

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.

Suggested Citation

  • Marko Wölki & Andreas Schadschneider & Michael Schreckenberg, 2007. "Asymmetric Exclusion Processes with Non-Factorizing Steady States," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 473-479, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_44
    DOI: 10.1007/978-3-540-47641-2_44
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