From Microscopic to Macroscopic Traffic Models
Statistical Mechanics
2009-10-31 v1
Abstract
The paper presents a systematic derivation of macroscopic equations for freeway traffic flow from an Enskog-like kinetic approach. The resulting fluid-dynamic traffic equations for the spatial density, average velocity, and velocity variance of vehicles are compared to equations, which can be obtained from a microscopic force model of individual vehicle motion. Simulation results of the models are confronted with empirical traffic data.
Keywords
Cite
@article{arxiv.cond-mat/9806171,
title = {From Microscopic to Macroscopic Traffic Models},
author = {Dirk Helbing},
journal= {arXiv preprint arXiv:cond-mat/9806171},
year = {2009}
}
Comments
For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html