Fokker-Planck Asymptotics for Traffic Flow Models
Mathematical Physics
2010-09-16 v1 Statistical Mechanics
math.MP
Physics and Society
Abstract
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.
Cite
@article{arxiv.1009.2771,
title = {Fokker-Planck Asymptotics for Traffic Flow Models},
author = {M. Herty and L. Pareschi},
journal= {arXiv preprint arXiv:1009.2771},
year = {2010}
}