Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-04-14
Phys. Rev. E 69, 016118 (2004)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 6 figures
Scientific paper
10.1103/PhysRevE.69.016118
We investigate steady state solutions of hydrodynamic traffic models in the absence of any intrinsic inhomogeneity on roads such as on-ramps. It is shown that typical hydrodynamic models possess seven different types of inhomogeneous steady state solutions. The seven solutions include those that have been reported previously only for microscopic models. The characteristic properties of wide jam such as moving velocity of its spatiotemporal pattern and/or out-flux from wide jam are shown to be uniquely determined and thus independent of initial conditions of dynamic evolution. Topological considerations suggest that all of the solutions should be common to a wide class of traffic models. The results are discussed in connection with the universality conjecture for traffic models. Also the prevalence of the limit-cycle solution in a recent study of a microscopic model is explained in this approach.
Kim Dongseok
Lee Han-Koo
Lee Hyun Woo
No associations
LandOfFree
Steady state solutions of hydrodynamic traffic models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Steady state solutions of hydrodynamic traffic models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady state solutions of hydrodynamic traffic models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-9573