Fokker-Planck equation approach to vehicle statistics
Statistical Mechanics
2007-05-23 v1
Abstract
This contribution presents a derivation of the steady-state distribution of velocities and distances of vehicles in freeway traffic which has been suggested for the evaluation of interaction potentials among vehicles (see preprint cond-mat/0301484). Despite the forwardly directed interactions and the additional driving terms in vehicle traffic, the steady-state velocity and distance distributions agree with the equilibrium distributions of classical many-particle systems with symmetrical interactions, if the system is large enough. Finally, this analytical result is confirmed by computer simulations.
Keywords
Cite
@article{arxiv.cond-mat/0307219,
title = {Fokker-Planck equation approach to vehicle statistics},
author = {Dirk Helbing and Martin Treiber},
journal= {arXiv preprint arXiv:cond-mat/0307219},
year = {2007}
}
Comments
This is a supplement to preprint cond-mat/0301484. For related work see http://www.helbing.org and http://www.mtreiber.de