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Collective motion of organisms in three dimensions

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  • Czirók, András
  • Vicsek, Mária
  • Vicsek, Tamás

Abstract

We study a model of flocking in order to describe the transitions during the collective motion of organisms (e.g., birds) in three dimensions. In this model the particles representing the organisms are self-propelled, i.e., they move with the same absolute velocity. In addition, the particles locally interact by choosing at each time step the average direction of motion of their neighbours and the effects of fluctuations are taken into account as well. We present the first results for large-scale flocking in the presence of noise in three dimensions. We show that depending on the control parameters both disordered and long-range ordered phases can be observed. The corresponding phase diagram has a number of features which are qualitatively different from those typical for the analogous equilibrium models.

Suggested Citation

  • Czirók, András & Vicsek, Mária & Vicsek, Tamás, 1999. "Collective motion of organisms in three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 299-304.
    • Handle: RePEc:eee:phsmap:v:264:y:1999:i:1:p:299-304
    DOI: 10.1016/S0378-4371(98)00468-3
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    Cited by:

    1. Vicsek, Tamás & Czirók, András & Farkas, Illés J. & Helbing, Dirk, 1999. "Application of statistical mechanics to collective motion in biology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 182-189.
    2. Czirók, András & Vicsek, Tamás, 2000. "Collective behavior of interacting self-propelled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 17-29.
    3. Mirabet, Vincent & Auger, Pierre & Lett, Christophe, 2007. "Spatial structures in simulations of animal grouping," Ecological Modelling, Elsevier, vol. 201(3), pages 468-476.
    4. Andrea López-Incera & Katja Ried & Thomas Müller & Hans J Briegel, 2020. "Development of swarm behavior in artificial learning agents that adapt to different foraging environments," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-38, December.

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