2005/06/30 by Armin Seyfried, Bernhard Steffen, Thomas Lippert
Engineering · Physics and Astronomy · #Evacuation and Crowd Dynamics #Traffic and Road Safety #Traffic control and management #cond-mat.stat-mech #physics.soc-ph
paper · pdf · doi:10.1016/j.physa.2005.11.052
published as Physica A, Volume 368, Issue 1, 1 August 2006, Pages 232-238 · 9 pages, 3 figures, Changes: Parameter e=0.51 corrected to e =0.07 (see Fig. 2) and prep. for subm. to Phys. Rev. E
arxiv created 2005/08/10 · openalex publication_date 2006/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction between the pedestrians on the resulting velocity-density relation. To focus on the role of the required space and remote force we choose a one-dimensional model for this investigation. For those densities, where in two dimensions also passing is no longer possible and the mean value of the velocity depends primarily on the interaction, we obtain the following result: If the model increases the required space of a person with increasing current velocity, the reproduction of the typical form of the fundamental diagram is possible. Furthermore we demonstrate the influence of the remote force on the velocity-density relation.