Solvability and Metastability of the Stochastic Optimal Velocity Model

Masahiro Kanai, Katsuhiro Nishinari and Tetsuji Tokihiro1
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Masahiro Kanai: University of Tokyo
Katsuhiro Nishinari: University of Tokyo
Tetsuji Tokihiro1: University of Tokyo

A chapter in Traffic and Granular Flow’05, 2007, pp 595-601 from Springer

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.

Keywords: Uniform State; Discontinuous Point; Optimal Velocity; Time Stage; Stochastic Version (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_58

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DOI: 10.1007/978-3-540-47641-2_58

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