Phase Diagram of Traffic States in the Presence of Inhomogeneities

Dirk Helbing, Ansgar Hennecke, and Martin Treiber
Phys. Rev. Lett. 82, 4360 – Published 24 May 1999
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Abstract

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based traffic model are in good agreement with empirical findings. They allow one to understand the observed transitions between free and various kinds of congested traffic, among them localized clusters, stop-and-go waves, and different types of “synchronized” traffic. We also give analytical conditions for the existence of these states which suggest that the phase diagram is universal for a class of different microscopic and macroscopic traffic models.

  • Received 11 September 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.4360

©1999 American Physical Society

Authors & Affiliations

Dirk Helbing1,2, Ansgar Hennecke1, and Martin Treiber1

  • 1II. Institute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart, Germany
  • 2Department of Biological Physics, Eötvös University, Budapest, Puskin u 5-7, H-1088 Hungary

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Vol. 82, Iss. 21 — 24 May 1999

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