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A lattice model for active–passive pedestrian dynamics : a quest for drafting effects
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- Cirillo, Emilio (author)
- Sapienza University, Italy
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- Colangeli, Matteo (author)
- University of L’Aquila, Italy
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- Muntean, Adrian, 1974- (author)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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- American Institute of Mathematical Sciences, 2020
- 2020
- English.
- In: Mathematical Biosciences and Engineering. - : American Institute of Mathematical Sciences. - 1547-1063 .- 1551-0018. ; 17:1, s. 460-477
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Pedestrian dynamics
- evacuation
- obscure room
- simple exclusion dynamics
- particle currents
- drafting
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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