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Trapping in bottlenecks: Interplay between microscopic dynamics and large scale effects
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, Via A. Scarpa 16, I–00161, Roma, Italy.
Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio, 67100 L’Aquila, Italy.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.ORCID iD: 0000-0002-1160-0007
2017 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 488, no 11, p. 30-38Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 488, no 11, p. 30-38
Keywords [en]
Pedestrian flows through bottlenecks, Trapping, Condensation, Stochastic modeling, Interacting particle systems
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-56724DOI: 10.1016/j.physa.2017.07.001OAI: oai:DiVA.org:kau-56724DiVA, id: diva2:1118917
Note

Fulltexten är den inskickade versionen och har inte genomgått peer-review.

Available from: 2017-07-03 Created: 2017-07-03 Last updated: 2017-12-07Bibliographically approved

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