Instability of pedestrian flow in 2D optimal velocity model with attractive interaction
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We incorporate an attractive interaction in two-dimensional optimal velocity model and investigate the stability of homogeneous flow. There exists a new type of instability and a new phase appears. We also show the behavior of the flow in each phase by numerical simulations.
[1] Akihiro Nakayama,et al. Instability of pedestrian flow and phase structure in a two-dimensional optimal velocity model. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.