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Solvability and Metastability of the Stochastic Optimal Velocity Model

In: Traffic and Granular Flow’05

Author

Listed:
  • Masahiro Kanai

    (University of Tokyo)

  • Katsuhiro Nishinari

    (University of Tokyo)

  • Tetsuji Tokihiro1

    (University of Tokyo)

Abstract

Summary In a recent paper (Phys. Rev. E 72, 035102 (2005)) we have proposed a stochastic optimal velocity model which includes two exactly solvable stochastic models. It can be regarded as a stochastic version of the optimal velocity model. We find that the model shows striking metastability (i.e. long-lived metastable states, dynamical phase transition, and sharp spontaneous metastability breaking) as well as solvability. In this work, we present additional explanations of the solvability and metastability, which are helpful in understanding the traffic dynamics of the model.

Suggested Citation

  • Masahiro Kanai & Katsuhiro Nishinari & Tetsuji Tokihiro1, 2007. "Solvability and Metastability of the Stochastic Optimal Velocity Model," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 595-601, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_58
    DOI: 10.1007/978-3-540-47641-2_58
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