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The effect of perception anisotropy on particle systems describing pedestrian flows in corridors
Eindhoven University of Technology. (Mathematics)ORCID iD: 0000-0002-1160-0007
2013 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, Vol. 2013, no 4Article in journal (Refereed) PublishedText
Abstract [en]

We consider a microscopic model (a system of self-propelled particles) to study the behaviour of a large group of pedestrians walking in a corridor. Our point of interest is the effect of anisotropic interactions on the global behaviour of the crowd. The anisotropy we have in mind reflects the fact that people do not perceive (i.e. see, hear, feel or smell) their environment equally well in all directions. The dynamics of the individuals in our model follow from a system of Newton-like equations in the overdamped limit. The instantaneous velocity is modelled in such a way that it accounts for the angle at which an individual perceives another individual. We investigate the effects of this perception anisotropy by means of simulations, very much in the spirit of molecular dynamics. We define a number of characteristic quantifiers (including the polarization index and Morisita index) that serve as measures, for example, for organization and clustering, and we use these indices to investigate the influence of anisotropy on the global behaviour of the crowd. The goal of the paper is to investigate the potential of this model; extensive statistical analysis of simulation data and reproducing any specific real-life situation are beyond its scope.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2013. Vol. 2013, no 4
Keyword [en]
molecular dynamics, crowd dynamics
National Category
Computational Mathematics Social Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39793DOI: 10.1088/1742-5468/2013/04/P04025ISI: 000317463900027ScopusID: 2-s2.0-84876948367OAI: oai:DiVA.org:kau-39793DiVA: diva2:901158
Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2016-10-06Bibliographically approved

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Muntean, Adrian
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