title: Centrifugal force model for pedestrian dynamics.
abstract: In this paper, a centrifugal force model is developed for pedestrian dynamics. The effects of both the headway and the relative velocity among pedestrians are taken into account, which can be expressed by a "centrifugal force" term in dynamic equation. The jamming probability due to the arching at exits for crowd flows is provided. A quantitative analysis of the crowd flowing out of a hall shows that the average leaving time T is a function of the exit width W in negative power. The related simulation indicates that the proposed model is able to reproduce the self-organization phenomena of lane formation for sparse flows.
authors.affiliation: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China.
authors.forename: W J
authors.initials: WJ
authors.lastname: Yu
authors.forename: R
authors.initials: R
authors.lastname: Chen
authors.forename: L Y
authors.initials: LY
authors.lastname: Dong
authors.forename: S Q
authors.initials: SQ
authors.lastname: Dai
mesh_terms: D001519:Behavior; D001703:Biophysics / Q000379:methods*; D002498:Centrifugation; D004777:Environment; D006331:Heart Diseases; D006801:Humans; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D011336:Probability; D012919:Social Behavior; D013599:Systole; D016138:Walking