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

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Cirillo, Emilio N.M.Sapienza Universit`a di Roma (författare)

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

Artikel/kapitelEngelska2016

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Siam publications,2016
printrdacarrier

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LIBRIS-ID:oai:DiVA.org:kau-40739
https://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-40739URI
https://doi.org/10.1137/15M1030960DOI

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Språk:engelska
Sammanfattning på:engelska

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Ämneskategori:art swepub-publicationtype

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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 efficiency 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 coefficients on the two thresholds---the essence of the microstructure information.Read More: http://epubs.siam.org/doi/10.1137/15M1030960

Ämnesord och genrebeteckningar

NATURVETENSKAP Matematik hsv//swe
NATURAL SCIENCES Mathematics hsv//eng
Particle systems; social systems; zero range process; threshold
Matematik
Mathematics

Biuppslag (personer, institutioner, konferenser, titlar ...)

Colangeli, MatteoGran Sasso Science Institute (författare)
Muntean, Adrian,1974-Eindhoven University of Technology,Mathematics(Swepub:kau)adrimunt (författare)
Sapienza Universit`a di RomaGran Sasso Science Institute (creator_code:org_t)

Sammanhörande titlar

Ingår i:Multiscale Modeling & simulation: Siam publications14:2, s. 906-9221540-34591540-3467

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Multiscale Modeling & simulation (Sök värdpublikationen i LIBRIS)

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Av författaren/redakt...: Cirillo, Emilio ...; Colangeli, Matte ...; Muntean, Adrian, ...

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NATURVETENSKAP: NATURVETENSKAP; och Matematik

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Av lärosätet: Karlstads universitet

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