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

Yuki Sugiyama, Akihiro Nakayama and Eiji Yamada
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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

A chapter in Traffic and Granular Flow’05, 2007, pp 277-282 from Springer

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.

Keywords: Phase Diagram; Group Formation; Repulsive Force; Attractive Force; Local Pattern (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_23

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DOI: 10.1007/978-3-540-47641-2_23

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