Chaotic jam and phase transition in traffic flow with passing

Takashi Nagatani
Phys. Rev. E 60, 1535 – Published 1 August 1999
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Abstract

The lattice hydrodynamic model is presented to take into account the passing effect in one-dimensional traffic flow. When the passing constant γ is small, the conventional jamming transition occurs between the uniform traffic and kink density wave flows. When passing constant γ is larger than the critical value, the jamming transitions occur from the uniform traffic flow, through the chaotic density wave flow, to the kink density wave flow, with an increasing delay time. The chaotic region increases with passing constant γ. The neutral stability line is derived from the linear stability analysis. The neutral stability line coincides with the transition line between the uniform traffic and density wave flows. The modified Korteweg–de Vries equation describing the kink jam is derived for small values of γ by use of a nonlinear analysis.

  • Received 19 October 1998

DOI:https://doi.org/10.1103/PhysRevE.60.1535

©1999 American Physical Society

Authors & Affiliations

Takashi Nagatani

  • Division of Thermal Science, College of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan

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Vol. 60, Iss. 2 — August 1999

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