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Phase Diagram of Group Formation in 2-D Optimal Velocity Model

In: Traffic and Granular Flow’05

Author

Listed:
  • Yuki Sugiyama

    (Nagoya University, Graduate School of Information Science)

  • Akihiro Nakayama

    (University of Ryukyus, Department of Physics and Earth Sciences)

  • Eiji Yamada

    (Nagoya University, Graduate School of Information Science)

Abstract

Summary We present a mathematical model for self-driven particles (2-D Optimal Velocity Model), which can reproduce a big variety of patterns in group formation and phase transition physics, by changing only two control-parameters and the number of particles. We show the formation of several typical patterns and their phase diagrams. The model can be applied to the study of group formation of collective bio-motions such as schools of fish.

Suggested Citation

  • Yuki Sugiyama & Akihiro Nakayama & Eiji Yamada, 2007. "Phase Diagram of Group Formation in 2-D Optimal Velocity Model," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 277-282, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-47641-2_23
    DOI: 10.1007/978-3-540-47641-2_23
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