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A lattice model for active–passive pedestrian dynamics: a quest for drafting effects
Sapienza University, Roma.
University of L’Aquila, Italy.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
Gran Sasso Science Institute, Italy.
2020 (English)In: Mathematical Biosciences and Engineering, ISSN 1547-1063, E-ISSN 1551-0018, Vol. 17, no 1, p. 460-477Article in journal (Refereed) Published
Abstract [en]

We study the pedestrian escape from an obscure room using a lattice gas model with twospecies of particles. One species, called passive, performs a symmetric random walk on the lattice,whereas the second species, called active, is subject to a drift guiding the particles towards the exit.The drift mimics the awareness of some pedestrians of the geometry of the room and of the location ofthe exit. We provide numerical evidence that, in spite of the hard core interaction between particles –namely, there can be at most one particle of any species per site – adding a fraction of active particlesin the system enhances the evacuation rate of all particles from the room. A similar effect is alsoobserved when looking at the outgoing particle flux, when the system is in contact with an externalparticle reservoir that induces the onset of a steady state. We interpret this phenomenon as a discretespace counterpart of the drafting effect typically observed in a continuum set–up as the aerodynamicdrag experienced by pelotons of competing cyclists.

Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2020. Vol. 17, no 1, p. 460-477
Keywords [en]
Pedestrian dynamics, evacuation, obscure room, simple exclusion dynamics, particle currents, drafting
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-75257DOI: 10.3934/mbe.2020025OAI: oai:DiVA.org:kau-75257DiVA, id: diva2:1360355
Available from: 2019-10-11 Created: 2019-10-11 Last updated: 2019-10-17Bibliographically approved

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Muntean, Adrian

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