Car-oriented mean-field theory for traffic flow models
Statistical Mechanics
2009-10-28 v1
Abstract
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 the exact solution is reproduced. For the fundamental diagram shows a good agreement with results from simulations.
Keywords
Cite
@article{arxiv.cond-mat/9612113,
title = {Car-oriented mean-field theory for traffic flow models},
author = {Andreas Schadschneider and Michael Schreckenberg},
journal= {arXiv preprint arXiv:cond-mat/9612113},
year = {2009}
}
Comments
LaTex, 10 pages, 2 postscript figures