Towards a Macroscopic Modelling of the Complexity in Traffic Flow
Statistical Mechanics
2009-11-07 v1
Abstract
We present a macroscopic traffic flow model that extends existing fluid-like models by an additional term containing the second derivative of the safe velocity. Two qualitatively different shapes of the safe velocity are explored: a conventional Fermi-type function and a function exhibiting a plateau at intermediate densities. The suggested model shows an extremely rich dynamical behaviour and shows many features found in real-world traffic data.
Cite
@article{arxiv.cond-mat/0110101,
title = {Towards a Macroscopic Modelling of the Complexity in Traffic Flow},
author = {S. Rosswog and P. Wagner},
journal= {arXiv preprint arXiv:cond-mat/0110101},
year = {2009}
}
Comments
submitted to Phys. Rev. E