Jamming Transition in CA Models for Traffic Flow
Statistical Mechanics
2007-05-23 v1
Abstract
The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. We present data from numerical simulations which suggest the absence of critical behavior in the presence of noise. The transition of the deterministic case is smeared out and one only observes the remnants of the critical point.
Cite
@article{arxiv.cond-mat/9711261,
title = {Jamming Transition in CA Models for Traffic Flow},
author = {L. Santen and A. Schadschneider},
journal= {arXiv preprint arXiv:cond-mat/9711261},
year = {2007}
}
Comments
5 pages, 4 postscript figures, Proceedings of the conference "Traffic and Granular Flow '97", Duisburg, Germany, October 5-8, 1997