On Cellular Automata Models of Single Lane Traffic

Details On Cellular Automata Models of Single Lane Traffic On Cellular Automata Models of Single Lane Traffic

1997-08-15

arxiv.org/abs/cond-mat/9708114v1

Physics

Condensed Matter

Statistical Mechanics

17 pages LaTeX, 14 PostScript figures, To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.4104

The jamming transition in the stochastic cellular automaton model (Nagel-Schreckenberg model) of highway traffic is analyzed in detail, by studying the relaxation time, a mapping to surface growth problems and the investigation of correlation functions. Three different classes of behavior can be distinguished depending on the speed limit $v_{max}$. For $v_{max} = 1$ the model is closely related to KPZ class of surface growth. For $1

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