Fokker-Planck Asymptotics for Traffic Flow Models

Details Fokker-Planck Asymptotics for Traffic Flow Models Fokker-Planck Asymptotics for Traffic Flow Models

2010-09-14

arxiv.org/abs/1009.2771v1

Kinetic and Related Models, 3, (2010), 165-179

Physics

Mathematical Physics

Scientific paper

Starting from microscopic interaction rules we derive kinetic models of Fokker--Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived models comprise existing models. New Fokker--Planck models are also given and their differences to existing models are highlighted. Finally, we report on numerical experiments.

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