Critical Bottleneck Size for Jamless Particle Flows in Two Dimensions

Takumi Masuda, Katsuhiro Nishinari, and Andreas Schadschneider
Phys. Rev. Lett. 112, 138701 – Published 4 April 2014

Abstract

We propose a simple microscopic model for arching phenomena at bottlenecks. The dynamics of particles in front of a bottleneck is described by a one-dimensional stochastic cellular automaton on a semicircular geometry. The model reproduces oscillation phenomena due to the formation and collapsing of arches. It predicts the existence of a critical bottleneck size for continuous particle flows. The dependence of the jamming probability on the system size is approximated by the Gompertz function. The analytical results are in good agreement with simulations.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 29 May 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.138701

© 2014 American Physical Society

Authors & Affiliations

Takumi Masuda1,*, Katsuhiro Nishinari1,†, and Andreas Schadschneider2,‡

  • 1Department of Aeronautics and Astronautics, Faculty of Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany

  • *msdtakumi@gmail.com
  • tknishi@mail.ecc.u-tokyo.ac.jp
  • as@thp.uni-koeln.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 112, Iss. 13 — 4 April 2014

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×