Arch-Shaped Equilibrium Solutions in Social Force Model

Tsubasa Masui (), Akiyasu Tomoeda, Mayuko Iwamoto and Daishin Ueyama
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Tsubasa Masui: Meiji University, Graduate School of Science and Technology
Akiyasu Tomoeda: Meiji University, Meiji Institute for Advanced Study of Mathematical Sciences
Mayuko Iwamoto: Meiji University, Graduate School of Advanced Mathematical Sciences
Daishin Ueyama: Meiji University, Meiji Institute for Advanced Study of Mathematical Sciences

A chapter in Traffic and Granular Flow '11, 2013, pp 179-185 from Springer

Abstract: Abstract In the present paper, we investigate arch-shaped equilibrium solutions in the social force model proposed by Helbing and Molnar (Phys Rev E 51:4282, 1995) and Helbing et al. (Nature 407:487, 2000). The social force model is a system of ordinary differential equations, which describe the motion of the pedestrians under a panic situation. In the simulation of the social force model, we observe an intermittent appearance of arch-shaped structures (i.e. the “Blocking clusters” Parisi and Dorso, Physica A 354:606, 2005; Physica A 385:343, 2007; Frank and Dorso, Physica A 390:2135, 2011) around an exit which block up the flow of pedestrians. To understand such a dynamic behavior, we study arch-shaped equilibrium solutions around an exit under the simplest configuration.

Keywords: Equilibrium Solution; Blocking Effect; Simple Configuration; Social Force Model; Blocking Cluster (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-39669-4_18

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DOI: 10.1007/978-3-642-39669-4_18

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