title: Flow instability originating from particle configurations using the two-dimensional optimal velocity model.
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.
authors.affiliation: Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, 4648601 Chikusa-ku Furo-chou, Nagoya, Aichi, Japan.
authors.forename: Ryosuke
authors.initials: R
authors.lastname: Ishiwata
authors.affiliation: Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, 4648601 Chikusa-ku Furo-chou, Nagoya, Aichi, Japan.
authors.forename: Yuki
authors.initials: Y
authors.lastname: Sugiyama