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
- 0000-0002-0823-2338
- 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.