Kink Solution in a Fluid Model of Traffic Flows

Details Kink Solution in a Fluid Model of Traffic Flows Kink Solution in a Fluid Model of Traffic Flows

1997-12-22

arxiv.org/abs/cond-mat/9712268v2

Physics

Condensed Matter

Statistical Mechanics

RevTeX v3.1, 6 pages, and 2 figures

Scientific paper

10.1143/JPSJ.67.763

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.

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