Synergetic theory for jamming transition in traffic flow
Statistical Mechanics
2009-10-31 v1
Abstract
The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused by the acceleration/braking rate to be higher than the critical value. The stationary values of headway and velocity deviations, and time of acceleration/braking are derived as functions of control parameter (time needed for car to take the characteristic velocity).
Cite
@article{arxiv.cond-mat/0004066,
title = {Synergetic theory for jamming transition in traffic flow},
author = {A. I. Olemskoi and A. V. Khomenko},
journal= {arXiv preprint arXiv:cond-mat/0004066},
year = {2009}
}
Comments
10 pages, 2 figures, LaTeX