Flow instability originating from particle configurations using the two-dimensional optimal velocity model
- 31 December 2015
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 92 (6), 062830
- https://doi.org/10.1103/physreve.92.062830
Abstract
The two-dimensional optimal velocity model has potential applications to pedestrian dynamics and the collective motion of animals. In this paper, we extend the linear stability analysis presented in a previous paper [A Nakayama et al., Phys. Rev. E. 77, 016105 (2008)] and investigate the effects of particle configuration on the stability of several wave modes of collective oscillations of moving particles. We find that, when a particle moves without interacting with particles that are positioned in a diagonally forward or backward direction, the stable region of the particle flow is completely removed by the elliptically polarized mode.Keywords
Funding Information
- Japan Society for the Promotion of Science (15K13535)
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