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An Exactly Solvable Two-Way Traffic Model with Ordered Sequential Update

In: Traffic and Granular Flow ’99

Author

Listed:
  • M. E. Fouladvand

    (Sharif University of Technology, Department of Physics
    Institute for Studies in Theoretical Physics and Mathematics)

  • H.-W. Lee

    (Korea Institute for Advanced Study, School of Physics)

Abstract

Within the formalism of the matrix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential updates. This model describes a two-way traffic flow with a dynamic impurity and shows a phase transition between the free flow and the traffic jam. We investigate characteristics of this jamming and examine similarities and differences between our results and those with the random sequential update [1].

Suggested Citation

  • M. E. Fouladvand & H.-W. Lee, 2000. "An Exactly Solvable Two-Way Traffic Model with Ordered Sequential Update," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 407-412, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_42
    DOI: 10.1007/978-3-642-59751-0_42
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