Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model

S. Cheybani, J. Kertész, and M. Schreckenberg
Phys. Rev. E 63, 016107 – Published 20 December 2000
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Abstract

We consider open systems where cars move according to the deterministic Nagel-Schreckenberg rules [K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992)] and with maximum velocity vmax>1, which is an extension of the asymmetric exclusion process (ASEP). It turns out that the behavior of the system is dominated by two features: (a) the competition between the left and the right boundary, (b) the development of so-called “buffers” due to the hindrance that an injected car feels from the front car at the beginning of the system. As a consequence, there is a first-order phase transition between the free flow and the congested phase accompanied by the collapse of the buffers, and the phase diagram essentially differs from that for vmax=1 (ASEP).

  • Received 10 November 1999

DOI:https://doi.org/10.1103/PhysRevE.63.016107

©2000 American Physical Society

Authors & Affiliations

S. Cheybani1,2, J. Kertész2,3, and M. Schreckenberg1

  • 1Theoretische Physik, Gerhard-Mercator Universität, D-47048 Duisburg, Germany
  • 2Department of Theoretical Physics, Technical University of Budapest, H-1111 Budapest, Hungary
  • 3Laboratory of Computational Engineering, Helsinki University of Technology, FIN-02150 Espoo, Finland

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Vol. 63, Iss. 1 — January 2001

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