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Cellular Automaton Model for Biased Diffusive Traffic Flow

Kazume Nishidate
Organization: Iwate University
Department: Department of Electrical and Electronic Engineering
David Fowler
Organization: University of Nebraska-Lincoln
Richard J. Gaylord
Organization: University of Illinois at Urbana-Champaign
Department: Department of Material Science and Engineering
Journal / Anthology

Journal of the Physical Society of Japan
Year: 1996
Volume: 65
Issue: 11
Page range: 3415-3418

A new stochastic discrete space-time model is proposed to simulate a biased diffusive system of two species in two dimensions. A very simple rule set which prohibits the multiple occupancy of lattice sites by particles while conserving their number, is used to define the dynamics. We found that spatial inhomogeneous bands in high-density states promptly form as the time step increases. The biased diffusive cell automaton (BDCA) model is analyzed and discussed.

*Mathematics > Discrete Mathematics > Cellular Automata