Traffic Flow

with M. Flynn, A. Kasimov, R.R. Rosales, and B. Seibold

Introduction

We consider second order traffic model and show theoretically the existence of “Jamitons”. Jamitons are stable structures consisting of a shock in traffic density with a smooth tail. Jamitons are detonation waves that travel unchanged. We verified our theoretical prediction by performing numerical simulations.

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[Click on the pictures below for movies in DIVX format]

Theoretical vs. Simulation – Density of cars vs. position

3D Rendering of the data computed above – Formation of jamitons and Jamitinos

Case for a circular road – Similar to Sugiyama et al new journal of Physics (2008)

Relevant Publications:

M.R. Flynn, A.R. Kasimov, J.C. Nave, R.R. Rosales, B. Seibold, “Self-Sustained Nonlinear Waves in Traffic Flow”, Phys.Rev.E 79, 056113 (2009), preprint: arXiv:0810.2820

M.R. Flynn, A.R. Kasimov, J.C. Nave, R.R. Rosales, B. Seibold, “On "jamitons", Self-Sustained Nonlinear Traffic Waves”, available arXiv:0809.2828

Last Modified by Jean-Christophe Nave - December 2008