Kink Solution in a Fluid Model of Traffic Flows
Statistical Mechanics
2009-10-30 v2
Abstract
Traffic jam in a fluid model of traffic flows proposed by Kerner and Konh\"auser (B. S. Kerner and P. Konh\"auser, Phys. Rev. E 52 (1995), 5574.) is analyzed. An analytic scaling solution is presented near the critical point of the hetero-clinic bifurcation. The validity of the solution has been confirmed from the comparison with the simulation of the model.
Cite
@article{arxiv.cond-mat/9712268,
title = {Kink Solution in a Fluid Model of Traffic Flows},
author = {Shigeaki Wada and Hisao Hayakawa},
journal= {arXiv preprint arXiv:cond-mat/9712268},
year = {2009}
}
Comments
RevTeX v3.1, 6 pages, and 2 figures