Self-organization and a dynamical transition in traffic-flow models.

@article{Biham1992SelforganizationAA,
  title={Self-organization and a dynamical transition in traffic-flow models.},
  author={Biham and Middleton and Levine},
  journal={Physical review. A, Atomic, molecular, and optical physics},
  year={1992},
  volume={46 10},
  pages={
          R6124-R6127
        }
}
  • Biham, Middleton, Levine
  • Published 2 June 1992
  • Medicine, Physics
  • Physical review. A, Atomic, molecular, and optical physics
A simple model that describes traffic flow in two dimensions is studied. A sharp jamming transition is found that separates between the low-density dynamical phase in which all cars move at maximal speed and the high-density jammed phase in which they are all stopped. Self-organization effects in both phases are studied and discussed. 
SELF-ORGANIZATION IN A TWO-DIMENSIONAL CELLULAR AUTOMATON MODEL OF TRAFFIC FLOW(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
TLDR
The jam phases in a two-dimensional cellular automaton model of traffic flow are investigated by computer simulations and show fractality and self-organization and randomness.
Distribution of Jam Clusters in a Two-Dimensional Cellular Automaton Traffic Flow Model with Open Boundaries
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A deterministic cellular automaton model is presented to simulate the traffic flow in a two-lane roadway. The model is an extended version of the one-dimensional asymmetric exclusion model to take
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The traffic flow near the jamming transition is numerically studied by computer simulations of a coupled-map model and shows clear double-valued behavior near the critical concentration.
Local cluster effect in different traffic flow models
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It is shown that traffic flow models which are mathematically different, belong to the same universality class of traffic flow model in the sense of their possibility to reproduce properties of real traffic jams, if they show the complete properties of the local cluster effect in traffic flow.
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A traffic-flow model with objects moving towards three directions is investigated by numerical simulations and the mean-field approach. This traffic-flow model includes four kinds of objects in
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