2015/12/03 by Mohcine Chraibi, Chraibi, Mohcine, Antoine Tordeux +3
Engineering · Social Sciences · #Evacuation and Crowd Dynamics #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Traffic control and management #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.1512.01166
openalex publication_date 2015/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stop-and-go waves in single-file movement are a phenomenon that is ob- served\nempirically in pedestrian dynamics. It manifests itself by the co-existence of\ntwo phases: moving and stopping pedestrians. We show analytically based on a\nsimplified one-dimensional scenario that under some conditions the system can\nhave instable homogeneous solutions. Hence, oscillations in the trajectories\nand in- stabilities emerge during simulations. To our knowledge there exists no\nforce-based model which is collision- and oscillation-free and meanwhile can\nreproduce phase separation. We develop a new force-based model for pedestrian\ndynamics able to reproduce qualitatively the phenomenon of phase separation. We\ninvestigate analytically the stability condition of the model and define\nregimes of parameter values where phase separation can be observed. We show by\nmeans of simulations that the predefined conditions lead in fact to the\nexpected behavior and validate our model with respect to empirical findings.\n