IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v31y2020i04ns0129183120500606.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.worldscientific.com/doi/abs/10.1142/S0129183120500606
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183120500606?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jin, Wen-Long, 2018. "Unifiable multi-commodity kinematic wave model," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 639-659.
    2. Kontorinaki, Maria & Spiliopoulou, Anastasia & Roncoli, Claudio & Papageorgiou, Markos, 2017. "First-order traffic flow models incorporating capacity drop: Overview and real-data validation," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 52-75.
    3. Jin, Wen-Long, 2017. "Kinematic wave models of lane-drop bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 507-522.
    4. Wen-Long Jin, 2020. "Stable Day-to-Day Dynamics for Departure Time Choice," Transportation Science, INFORMS, vol. 54(1), pages 42-61, January.
    5. Jin, Wen-Long, 2012. "A kinematic wave theory of multi-commodity network traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1000-1022.
    6. Jin, Wen-Long & Laval, Jorge, 2018. "Bounded acceleration traffic flow models: A unified approach," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 1-18.
    7. Qiao, Dian-Liang & Zhang, Peng & Lin, Zhi-Yang & Wong, S.C. & Choi, Keechoo, 2017. "A Runge–Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 309-319.
    8. Jin, Wen-Long, 2015. "On the existence of stationary states in general road networks," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 917-929.
    9. Jin, Wen-Long & Gan, Qi-Jian & Lebacque, Jean-Patrick, 2015. "A kinematic wave theory of capacity drop," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 316-329.
    10. Jin, Wen-Long, 2017. "A Riemann solver for a system of hyperbolic conservation laws at a general road junction," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 21-41.
    11. Qiao, Dianliang & Lin, Zhiyang & Guo, Mingmin & Yang, Xiaoxia & Li, Xiaoyang & Zhang, Peng & Zhang, Xiaoning, 2022. "Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    12. Jin, Wen-Long, 2017. "A first-order behavioral model of capacity drop," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 438-457.
    13. Wen-Long Jin, 2015. "Analysis of Kinematic Waves Arising in Diverging Traffic Flow Models," Transportation Science, INFORMS, vol. 49(1), pages 28-45, February.
    14. Wen-Long Jin, 2021. "A Link Queue Model of Network Traffic Flow," Transportation Science, INFORMS, vol. 55(2), pages 436-455, March.
    15. Jin, Wen-Long, 2012. "The traffic statics problem in a road network," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1360-1373.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:04:n:s0129183120500606. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.