Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition
arXiv:cond-mat/9810277 · doi:10.1103/PhysRevLett.81.3042
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.
With corrected formula (3). For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html
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