Car-oriented mean-field theory for traffic flow models

Details Car-oriented mean-field theory for traffic flow models Car-oriented mean-field theory for traffic flow models

1996-12-12

arxiv.org/abs/cond-mat/9612113v1

Physics

Condensed Matter

Statistical Mechanics

LaTex, 10 pages, 2 postscript figures

Scientific paper

10.1088/0305-4470/30/4/005

We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable but rather the distance between consecutive cars. Therefore certain longer-ranged correlations are taken into account and even a mean-field approach yields non-trivial results. In fact for the model with $v_{max}=1$ the exact solution is reproduced. For $v_{max}=2$ the fundamental diagram shows a good agreement with results from simulations.

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