Collective motion of oscillatory walkers

Takahiro Ezaki, Ryosuke Nishi, Daichi Yanagisawa, and Katsuhiro Nishinari
Phys. Rev. E 88, 012808 – Published 10 July 2013

Abstract

We study a system of interacting self-propelled particles whose walking velocity depends on the stage of the locomotion cycle. The model introduces a phase equation in the optimal velocity model for vehicular traffic. We find that the system exhibits novel types of flow: synchronized free flow, phase-anchoring free flow, orderly jam flow, and disordered jam flow. The first two flows are characterized by synchronization of the phase, while the others do not have the global synchronization. Among these, the disordered jam flow is very complex, although the underlying model is simple. This phenomenon implies that the crowd behavior of moving particles can be destabilized by coupling their velocity to the phase of their motion. We also focus on “phase-anchoring” phenomena. They strongly affect particle flow in the system, especially when the density of particles is high.

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  • Received 4 February 2013

DOI:https://doi.org/10.1103/PhysRevE.88.012808

©2013 American Physical Society

Authors & Affiliations

Takahiro Ezaki1,2,*, Ryosuke Nishi3,4, Daichi Yanagisawa5, and Katsuhiro Nishinari6

  • 1Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2Japan Society for the Promotion of Science, 5-3-1 Ichibancho, Kojimachi, Chiyoda-ku, Tokyo 102-0083, Japan
  • 3National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan
  • 4JST, ERATO, Kawarabayashi Large Graph Project, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan
  • 5College of Science, Ibaraki University, 2-1-1 Bunkyo, Mito, Ibaraki 310-8512, Japan
  • 6Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, Japan

  • *ezaki@jamology.rcast.u-tokyo.ac.jp

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Vol. 88, Iss. 1 — July 2013

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