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Critical behavior of a traffic flow model

L. Roters·S. Lubeck·K. D. Usadel
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Abstract

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams without the necessity to define a car to be jammed or not. Above the jamming transition the dynamical structure factor exhibits for a given k-value two maxima corresponding to the separation of the system into the free flow phase and jammed phase. We obtain from a finite-size scaling analysis of the smallest jam mode that approaching the transition long range correlations of the jams occur.

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L. Roters, S. Lubeck, K. D. Usadel. 1998-12-12. Critical behavior of a traffic flow model. https://doi.org/10.1103/physreve.59.2672

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