Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton

Minoru Fukui*, Katsuhiro Nishinari, Daisuke Takahashi, Yoshihiro Ishibashi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


A two-lane cellular automaton traffic model equivalent to the extended Burgers cellular automaton has been proposed, and evolution equations for cars on the two-lane road are obtained. Configurations of cars on the road are simulated by using the equations and many metastable local congested states are found in two-dimensional region on density-flow diagram. There are three typical states in the congested states: The first is that cars advance by stop- and go-flow on their own lanes without lane-change and values of the flow are stable in time. The second is that cars change the lane periodically with several time-steps. The third is that they advance changing the lane that induces fluctuating of the flow with extremely long period. This fluctuating flow exists in wide range between car densities 5/12 and 3/4. The metastable states are discussed in connection with the synchronized states observed in the traffic flow on expressway.

Original languageEnglish
Pages (from-to)226-238
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
Publication statusPublished - 2002 Jan 1


  • Extended Burgers CA
  • Metastable state
  • Synchronized flow
  • Traffic model

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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