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An analytical solution of the Social Force Model for uni-directional flow

2019/10/01 by Tobias Kretz, Kretz, Tobias
Engineering · Social Sciences · #Crime Patterns and Interventions #Evacuation and Crowd Dynamics #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Urban Transport and Accessibility

paper · pdf · doi:10.48550/arxiv.1910.00674

openalex publication_date 2019/10/01 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

A function for the dependence of flow on pedestrian density is derived analytically from the Social Force Model (SFM) for the case of a homogeneous population walking in the same direction and being in steady state. Assuming that only nearest Voronoi neighbors effectuate forces the resulting function matches a variety of very different fundamental diagrams that were found empirically.

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