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, Phys. Rev. E. 77, 016105 (2008)10.1103/PhysRevE.77.016105] 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.
Original language | English |
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Article number | 062830 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 92 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2015 Dec 31 |
Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability