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Stable and Metastable States in Congested Traffic

In: Traffic and Granular Flow ’99

Author

Listed:
  • E. Tomer

    (Bar-Ilan University, Minerva Center and Department of Physics)

  • L. Safonov

    (Bar-Ilan University, Minerva Center and Department of Physics
    Voronezh State University, Department of Applied Mathematics and Mechanics)

  • S. Havlin

    (Bar-Ilan University, Minerva Center and Department of Physics)

Abstract

A new single lane inertial car following model of traffic flow is presented. The model demonstrates the presence of three phases in traffic flow: free flow, nonhomogeneous congested flow and homogeneous congested flow. In the non-homogeneous congested flow we find many periodic stable states with different values of flux and wavelength. We also find that states with relatively low and relatively high values of wavelength are metastable.

Suggested Citation

  • E. Tomer & L. Safonov & S. Havlin, 2000. "Stable and Metastable States in Congested Traffic," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 419-424, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_44
    DOI: 10.1007/978-3-642-59751-0_44
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