Schadschneider, Andreas; Schreckenberg, Michael:
Car-oriented mean-field theory for traffic flow models
In: Journal of physics : A: Mathematical and general, Jg. 30 (1997), Heft 4, S. L69 - L75
1997Artikel/Aufsatz in Zeitschrift
Physik (inkl. Astronomie)
Titel:
Car-oriented mean-field theory for traffic flow models
Autor*in:
Schadschneider, Andreas;Schreckenberg, MichaelUDE
GND
139443185
LSF ID
1122
ORCID
0000-0002-0823-2338ORCID iD
Sonstiges
der Hochschule zugeordnete*r Autor*in
Erscheinungsjahr:
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.