Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition
Statistical Mechanics
2009-10-31 v2 Pattern Formation and Solitons
patt-sol
Abstract
Recently, hysteretic transitions to `synchronized traffic' with high values of both density and traffic flow were observed on German freeways [B. S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997)]. We propose a macroscopic traffic model based on a gas-kinetic approach that can explain this phase transition. The results suggest a general mechanism for the formation of probably the most common form of congested traffic.
Keywords
Cite
@article{arxiv.cond-mat/9810277,
title = {Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition},
author = {Dirk Helbing and Martin Treiber},
journal= {arXiv preprint arXiv:cond-mat/9810277},
year = {2009}
}
Comments
With corrected formula (3). For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html