Schadschneider, Andreas; Schreckenberg, Michael:
Car-oriented mean-field theory for traffic flow models
1997
In: Journal of physics : A: Mathematical and general, Jg. 30 (1997), Heft 4, S. L69 - L75
Artikel/Aufsatz in Zeitschrift1997Physik
Titel:
Car-oriented mean-field theory for traffic flow models
Autor(in):
Schadschneider, Andreas; Schreckenberg, MichaelLSF
Erscheinungsjahr
1997
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Erschienen in:
Titel:
Journal of physics : A: Mathematical and general
in:
Jg. 30 (1997), Heft 4, S. L69 - L75
ISSN:
ISSN:
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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.