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A Force-Based Model to Reproduce Stop-and-Go Waves in Pedestrian Dynamics

In: Traffic and Granular Flow '15

Author

Listed:
  • Mohcine Chraibi

    (Forschungszentrum Jülich GmbH, Jülich Supercomputing Centre)

  • Antoine Tordeux

    (Forschungszentrum Jülich GmbH, Jülich Supercomputing Centre)

  • Andreas Schadschneider

    (Institute for Theoretical Physics, Universität zu Köln)

Abstract

Stop-and-go wavesChraibi, Mohcine in single-fileTordeux, Antoine movementSchadschneider, Andreas are a phenomenon that is observed empirically in pedestrian dynamics. It manifests itself by the co-existence of two phases: moving and stopping pedestrians. We show analytically based on a simplified one-dimensional scenario that under some conditions the system can have unstable homogeneous solutions. Hence, oscillations in the trajectories and instabilities emerge during simulations. To our knowledge there exists no force-based model which is collision- and oscillation-free and meanwhile can reproduce phase separation. We develop a new force-based model for pedestrian dynamics able to reproduce qualitatively the phenomenon of phase separation. We investigate analytically the stability condition of the model and define regimes of parameter values where phase separation can be observed. We show by means of simulations that the predefined conditions lead in fact to the expected behaviour and validate our model with respect to empirical findings.

Suggested Citation

  • Mohcine Chraibi & Antoine Tordeux & Andreas Schadschneider, 2016. "A Force-Based Model to Reproduce Stop-and-Go Waves in Pedestrian Dynamics," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 169-175, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_22
    DOI: 10.1007/978-3-319-33482-0_22
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