Schadschneider, Andreas; Schreckenberg, Michael:
Car-oriented mean-field theory for traffic flow models
In: Journal of physics : A: Mathematical and general, Vol. 30 (1997), No. 4, pp. L69 - L75
1997article/chapter in journal
Physics (incl. Astronomy)
Title:
Car-oriented mean-field theory for traffic flow models
Author:
Schadschneider, Andreas;Schreckenberg, MichaelUDE
GND
139443185
LSF ID
1122
ORCID
0000-0002-0823-2338ORCID iD
Other
connected with university
Year of publication:
1997

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.