VELOCITY CORRELATIONS IN THE NAGEL–SCHRECKENBERG MODEL

N. Lakouari, K. Jetto, H. Ez-Zahraouy () and A. Benyoussef
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N. Lakouari: Laboratory of Magnetism and High Energy Physics (URAC 12), Department of Physics, P.O. Box 1014, Faculty of Sciences, University Mohammed, V-Agdal Rabat, Morocco
K. Jetto: Laboratory of Magnetism and High Energy Physics (URAC 12), Department of Physics, P.O. Box 1014, Faculty of Sciences, University Mohammed, V-Agdal Rabat, Morocco;
H. Ez-Zahraouy: Laboratory of Magnetism and High Energy Physics (URAC 12), Department of Physics, P.O. Box 1014, Faculty of Sciences, University Mohammed, V-Agdal Rabat, Morocco
A. Benyoussef: Laboratory of Magnetism and High Energy Physics (URAC 12), Department of Physics, P.O. Box 1014, Faculty of Sciences, University Mohammed, V-Agdal Rabat, Morocco

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 02, 1-11

Abstract: The correlation between the velocity of two successive vehicles as a function of time headway is studied in the one-dimensional cellular automata (CA) NaSch model within parallel dynamic update. It is found that a strong correlation occurs in short time headway. The behavior of the correlation velocity as a function of the car density in different traffic states is also investigated. Moreover, our study is also extended to a more complicated situation where the two vehicles are separated by a numbernof other vehicles. It is shown that the velocity correlation coefficient depends strongly on the numbernof vehicles in between and on their positions.

Keywords: Traffic; velocity correlation; time headway; NaSch model; cellular automata (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113500897

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