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Paper detail

Fokker-Planck Asymptotics for Traffic Flow Models

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.

preprint2010arXivOpen access
M. HertyL. Pareschi
cond-mat.stat-mechphysics.soc-phmath-phmath.MP
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M. HertyL. Pareschi

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