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Effects Of Agent'S Repulsion In 2d Flocking Models

Author

Listed:
  • NAJEM MOUSSA

    (Département de Mathématique et Informatique, Université Chouaib Doukkali Faculté des Sciences, B. P. 299-24000/EL Jadida, Maroc)

  • ILIASS TARRAS

    (Laboratoire de Physique de la Matière Condensée, Unité de recherche associée au CNRST (URAC10), Université Hassan II-Mohammedia Faculté des Sciences, Ben M'Sik, Avenue Cdt Driss El-Harti, B. P. 7955-20800/Casablanca, Maroc)

  • M'HAMMED MAZROUI

    (Laboratoire de Physique de la Matière Condensée, Unité de recherche associée au CNRST (URAC10), Université Hassan II-Mohammedia Faculté des Sciences, Ben M'Sik, Avenue Cdt Driss El-Harti, B. P. 7955-20800/Casablanca, Maroc)

  • YAHYA BOUGHALEB

    (Laboratoire de Physique de la Matière Condensée, Unité de recherche associée au CNRST (URAC10), Université Hassan II-Mohammedia Faculté des Sciences, Ben M'Sik, Avenue Cdt Driss El-Harti, B. P. 7955-20800/Casablanca, Maroc;
    Laboratoire de Physique de la Matière Condensée, Université Chouaib Doukkali Faculté des Sciences, BD Jabran Khalil Jabran, B. P. 299-24000/EL Jadida, Maroc;
    Académie Hassan II des Sciences et Technologies, 225 Avenue Mohamed Belhassan, Rabat, Maroc)

Abstract

In nature many animal groups, such as fish schools or bird flocks, clearly display structural order and appear to move as a single coherent entity. In order to understand the complex behavior of these systems, many models have been proposed and tested so far. This paper deals with an extension of the Vicsek model, by including a second zone of repulsion, where each agent attempts to maintain a minimum distance from the others. The consideration of this zone in our study seems to play an important role during the travel of agents in the two-dimensional (2D) flocking models. Our numerical investigations show that depending on the basic ingredients such as repulsion radius (R1), effect of density of agents (ρ) and noise (η), our nonequilibrium system can undergo a kinetic phase transition from no transport to finite net transport. For different values of ρ, kinetic phase diagrams in the plane (η ,R1) are found. Implications of these findings are discussed.

Suggested Citation

  • Najem Moussa & Iliass Tarras & M'Hammed Mazroui & Yahya Boughaleb, 2011. "Effects Of Agent'S Repulsion In 2d Flocking Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(07), pages 661-668.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:07:n:s0129183111016518
    DOI: 10.1142/S0129183111016518
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