Long-range correlations of density fluctuations in the Kerner-Klenov-Wolf cellular automata three-phase traffic flow model

J. J. Wu, H. J. Sun, and Z. Y. Gao

Phys. Rev. E 78, 036103 – Published 3 September 2008

Abstract

Detrended fluctuation analysis (DFA) is a useful tool to measure the long-range power-law correlations in $1 ∕ f$ noise. In this paper, we investigate the power-law dynamics behavior of the density fluctuation time series generated by the famous Kerner-Klenov-Wolf cellular automata model in road traffic. Then the complexities of spatiotemporal, average speed, and the average density have been analyzed in detail. By introducing the DFA method, our main observation is that the free flow and wide moving jam phases correspond to the long-range anticorrelations. On the contrary, at the synchronized flow phase, the long-range correlated property is observed.