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Velocity Correlations In The Nagel–Schreckenberg Model

Author

Listed:
  • 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;
    Hassania School of Public Works, Morocco 7 km, route d 'El Jadida, P.O. Box 8108, Oasis Casablanca, 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)

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.

Suggested Citation

  • N. Lakouari & K. Jetto & H. Ez-Zahraouy & A. Benyoussef, 2014. "Velocity Correlations In The Nagel–Schreckenberg Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(02), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:02:n:s0129183113500897
    DOI: 10.1142/S0129183113500897
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    References listed on IDEAS

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