中文

Car-oriented mean-field theory for traffic flow models

统计力学 2009-10-28 v1

摘要

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 vmax=1v_{max}=1 the exact solution is reproduced. For vmax=2v_{max}=2 the fundamental diagram shows a good agreement with results from simulations.

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引用

@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}
}

备注

LaTex, 10 pages, 2 postscript figures