Volume 121, Number 5, March 2018
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||08 May 2018|
How to push one's way through a dense crowd
1 Univ. Grenoble Alpes, CNRS, LIPhy - 38000 Grenoble, France
2 Institut de Recherche Mathématique Avancée - 67000 Strasbourg, France
Received: 9 February 2018
Accepted: 9 April 2018
Moving through a dense crowd to help someone can be a tough task for emergency services as well as for security agents willing to ease a star to cross a crowd of fans. High densities reduce the mobility of an individual who wants to move and cross a crowd by pushing their way through. In this work, we study two situations. The first considers a person who moves through a static crowd while the second reports on a moving person (e.g., a star) who crosses a crowd of fans. Despite the simplicity of the mechanical model we use to describe a moving person who pushes apart the people of the crowd or tries to avoid them, we obtain some non-trivial results. Depending on the rigidity of a static crowd or on the aggressiveness of fans we extract quantities like the average velocity of a person moving across a crowd or the critical number of fans above which any motion of a star is impossible.
PACS: 45.50.-j – Dynamics and kinematics of a particle and a system of particles / 45.70.Mg – Granular flow: mixing, segregation and stratification / 89.65.Ef – Social organizations; anthropology
© EPLA, 2018
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