Effects of communication efficiency and exit capacity on fundamental diagrams for pedestrian motion in an obscure tunnel|a particle system approach

E.N.M. Cirillo, M. Colangeli, A. Muntean

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)

Abstract

Fundamental diagrams describing the relation between pedestrians' speed and density are key points in understanding pedestrian dynamics. Experimental data evidence the onset of complex behaviors in which the velocity decreases with the density, and different logistic regimes are identified. This paper addresses the issue of pedestrian transport and of fundamental diagrams for a scenario involving the motion of pedestrians escaping from an obscure tunnel. We capture the effects of communication eficiency and exit capacity by means of two thresholds controlling the rate at which particles (walkers, pedestrians) move on the lattice. Using a particle system model, we show that in the absence of limitation in communication among pedestrians, we reproduce with good accuracy the standard fundamental diagrams, whose basic behaviors can be interpreted in terms of exit capacity limitation. When the effect of limited communication ability is considered, then interesting nonintuitive phenomena occur. In particular, we shed light on the loss of monotonicity of the typical speed-density curves, revealing the existence of a pedestrian density optimizing the escape. We study both the discrete particle dynamics and the corresponding hydrodynamic limit (a porous medium equation and a transport (continuity) equation). We also point out the dependence of the effective transport coeffcients on the two thresholds|the essence of the microstructure information.

Original languageEnglish
Pages (from-to)906-922
Number of pages17
JournalMultiscale Modeling & Simulation
Volume14
Issue number2
DOIs
Publication statusPublished - 2016

Keywords

  • Continuity equation
  • Evacuation scenario
  • Fundamental diagrams
  • Hydrodynamic limits
  • Lattice model
  • Pedestrian transport in the dark
  • Porous media equation

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