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The effect of anisotropy on the traffic flow behavior: Investigation of the correlation created by a single node on two-lane roads

Author

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  • Zineb Tahiri

    (,*Laboratoire de Matière Condensée et Sciences Interdisciplinaires, Département de Physique, B.P.1014, Faculté des Sciences, University Mohammed V, Rabat, Morocco)

  • Kamal Jetto

    (,*Laboratoire de Matière Condensée et Sciences Interdisciplinaires, Département de Physique, B.P.1014, Faculté des Sciences, University Mohammed V, Rabat, Morocco2Research Team Transport, Logistics and Road Safety, The Head of Department of Logistics and Transportation, Ecole Hassania des Travaux Publics km 7, route d‘El Jadida, B.P.8108, Oasis Casablanca, Morocco)

  • Marouane Bouadi

    (,*Laboratoire de Matière Condensée et Sciences Interdisciplinaires, Département de Physique, B.P.1014, Faculté des Sciences, University Mohammed V, Rabat, Morocco)

  • Abdelilah Benyoussef

    (,*Laboratoire de Matière Condensée et Sciences Interdisciplinaires, Département de Physique, B.P.1014, Faculté des Sciences, University Mohammed V, Rabat, Morocco†Hassan II Academy of Science and Technology, Rabat, Morocco)

  • Abdallah El Kenz

    (,*Laboratoire de Matière Condensée et Sciences Interdisciplinaires, Département de Physique, B.P.1014, Faculté des Sciences, University Mohammed V, Rabat, Morocco†Hassan II Academy of Science and Technology, Rabat, Morocco)

Abstract

In this paper, we have tried to point out the features of the correlation between the lanes of a two-lane road, created by the entry of this facility. For this purpose, we have adopted a quasi-one-dimensional system composed of a diverging node connecting two roads and where no lanes’ changing is allowed. Our study has highlighted the strong effect of a node. We have found that if we create a disturbance in one lane, a spontaneous symmetry breaking occurs in the whole system. In fact, a self-anisotropy is produced at the node, to which the system responds via a self-organization mechanism. Those results have urged us to investigate the anisotropy as an extrinsic parameter. By privileging one lane over the other at the node, we have been able to confirm that the system can always get self-organized and that three phases can be established: the symmetric high density phase, the asymmetric low density phase and the asymmetric phase of transition low density/high density. Finally, we have found that the system is strongly correlated when it is in a symmetric phase, and is not when in an asymmetric phase. This finding brought us to the assumption that the cross-correlation of the observables of a quasi-one-dimensional system can be considered as an order parameter that defines the phases’ transitions.

Suggested Citation

  • Zineb Tahiri & Kamal Jetto & Marouane Bouadi & Abdelilah Benyoussef & Abdallah El Kenz, 2020. "The effect of anisotropy on the traffic flow behavior: Investigation of the correlation created by a single node on two-lane roads," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-40, March.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:04:n:s0129183120500606
    DOI: 10.1142/S0129183120500606
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    References listed on IDEAS

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    1. W.L. Jin & L. Chen & Elbridge Gerry Puckett, 2009. "Supply-demand Diagrams and a New Framework for Analyzing the Inhomogeneous Lighthill-Whitham-Richards Model," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 603-635, Springer.
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