Trapping in bottlenecks: Interplay between microscopic dynamics and large scale effects

E.N.M. Cirillo, M. Colangeli and A. Muntean

Physica A: Statistical Mechanics and its Applications, 2017, vol. 488, issue C, 30-38

Abstract: We investigate the appearance of trapping states in pedestrian flows through bottlenecks as a result of the interplay between the geometry of the system and the microscopic stochastic dynamics. We model the flow through a bottleneck via a Zero Range Process on a one-dimensional periodic lattice. Particle are removed from the lattice sites with rates proportional to the local occupation numbers. The bottleneck is modeled by a particular site of the lattice whose updating rate saturates to a constant value as soon as the local occupation number exceeds a fixed threshold. We show that for any finite value of the threshold the stationary particle current saturates to the limiting bottleneck rate when the total particle density in the system exceeds a critical value corresponding to the bottleneck rate itself.

Keywords: Pedestrian flows through bottlenecks; Trapping; Condensation; Stochastic modeling; Interacting particle systems (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:488:y:2017:i:c:p:30-38

DOI: 10.1016/j.physa.2017.07.001

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