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Stochastic Headway Dependent Velocity Model and Phase Separation in Pedestrian Dynamics

In: Traffic and Granular Flow '13

Author

Listed:
  • Christian Eilhardt

    (Institute of Theoretical Physics, University of Cologne)

  • Andreas Schadschneider

    (Institute of Theoretical Physics, University of Cologne)

Abstract

The occurrence of phase separation into a jammed phase and a free-flow phase with non-interacting agents is a common feature observed in vehicular traffic. Experiments have shown a similar behavior for pedestrians, though the situation in pedestrian dynamics is more complicated. The two separate phases in one-dimensional “single-file” pedestrian movement are a jammed high-density phase and a phase of medium to high density with slowly moving pedestrians. Both phases consist of interacting agents. In order to understand this phenomenon we develop the one-dimensional Stochastic Headway Dependent Velocity Model which is continuous in space but discrete in time. The velocity of each agent depends on its headway and on its velocity: standing agents are subjected to a slow-to-start rule. The model can reproduce the experimentally observed phase separation at high densities.

Suggested Citation

  • Christian Eilhardt & Andreas Schadschneider, 2015. "Stochastic Headway Dependent Velocity Model and Phase Separation in Pedestrian Dynamics," Springer Books, in: Mohcine Chraibi & Maik Boltes & Andreas Schadschneider & Armin Seyfried (ed.), Traffic and Granular Flow '13, edition 127, pages 281-289, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10629-8_34
    DOI: 10.1007/978-3-319-10629-8_34
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