Schadschneider, Andreas; Schreckenberg, Michael:

Car-oriented mean-field theory for traffic flow models

In: Journal of physics : A: Mathematical and general, Jg. 30 (1997) ; Nr. 4, S. L69-L75
ISSN: 1751-8121, 1751-8113
Zeitschriftenaufsatz / Fach: Physik
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.