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

Cirillo, E.N.M.Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, Via A. Scarpa 16, I–00161, Roma, Italy (författare)

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

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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.

Colangeli, MDipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio, 67100 L’Aquila, Italy (författare)
Muntean, Adrian,1974-Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)(Swepub:kau)adrimunt (författare)
Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, Via A. Scarpa 16, I–00161, Roma, ItalyDipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio, 67100 L’Aquila, Italy (creator_code:org_t)

Av författaren/redakt...: Cirillo, E.N.M.; Colangeli, M; Muntean, Adrian, ...

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