Effect of attractive interaction on instability of pedestrian flow in a two-dimensional optimal velocity model.
We incorporate an attractive interaction in a two-dimensional optimal velocity model and investigate the stability of homogeneous flow in the linear approximation. There exists a different type of instability in this model. We show the phase diagram and the behavior of the flow in each phase by numerical simulations. A new phase due to the new instability appears at low density, and the instability can be a candidate of the group formation mechanism of organisms.
Nakayama
Akihiro
A
Department of Physics, Meijo University, Nagoya, 468-8502, Japan. spock@ccmfs.meijo-u.ac.jp
Hasebe
Katsuya
K
Sugiyama
Yūki
Y