Stochastic Headway Dependent Velocity Model and Phase Separation in Pedestrian Dynamics

Christian Eilhardt () and Andreas Schadschneider ()
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Christian Eilhardt: Institute of Theoretical Physics, University of Cologne
Andreas Schadschneider: Institute of Theoretical Physics, University of Cologne

A chapter in Traffic and Granular Flow '13, 2015, pp 281-289 from Springer

Abstract: 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.

Keywords: Pedestrian Dynamics; Jamming Phase; Fundamental Diagram; Phase Separated State; Typical Continuous Models (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_34

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DOI: 10.1007/978-3-319-10629-8_34

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