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Complex network structure of flocks in the Vicsek Model with Vectorial Noise

Author

Listed:
  • Gabriel Baglietto

    (Instituto de Física de Líquidos y Sistemas Biológicos (CONICET, UNLP), 59 Nro 789, 1900 La Plata, Argentina;
    Facultad de Ingeniería (UNLP), La Plata, Argentina;
    Gr. Coll. Roma I, V.le Regina Elena 299, 00161 Roma, Italy)

  • Ezequiel V. Albano

    (Instituto de Física de Líquidos y Sistemas Biológicos (CONICET, UNLP), 59 Nro 789, 1900 La Plata, Argentina;
    Departamento de Física, Facultad de Ciencias Exactas (UNLP), La Plata, Argentina)

  • Julián Candia

    (Instituto de Física de Líquidos y Sistemas Biológicos (CONICET, UNLP), 59 Nro 789, 1900 La Plata, Argentina;
    Department of Physics, University of Maryland, College Park, MD 20742, USA)

Abstract

In the Vicsek Model (VM), self-driven individuals try to adopt the direction of movement of their neighbors under the influence of noise, thus leading to a noise-driven order–disorder phase transition. By implementing the so-called Vectorial Noise (VN) variant of the VM (i.e. the VM-VN model), this phase transition has been shown to be discontinuous (first-order). In this paper, we perform an extensive complex network study of VM-VN flocks and show that their topology can be described as highly clustered, assortative, and nonhierarchical. We also study the behavior of the VM-VN model in the case of "frozen flocks" in which, after the flocks are formed using the full dynamics, particle displacements are suppressed (i.e. only rotations are allowed). Under this kind of restricted dynamics, we show that VM-VN flocks are unable to support the ordered phase. Therefore, we conclude that the particle displacements at every time-step in the VM-VN dynamics are a key element needed to sustain long-range ordering throughout.

Suggested Citation

  • Gabriel Baglietto & Ezequiel V. Albano & Julián Candia, 2014. "Complex network structure of flocks in the Vicsek Model with Vectorial Noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 1-15.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:03:n:s0129183113500952
    DOI: 10.1142/S0129183113500952
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