Journal article
Pattern formation in flows of asymmetrically interacting particles: Peristaltic pedestrian dynamics as a case study
NASU - Bogolyubov Institute for Theoretical Physics1
Continental2
Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark4
Center for Intelligent Drug Delivery and Sensing Using Microcontainers and Nanomechanics, Department of Health Technology, Technical University of Denmark5
Department of Physics, Technical University of Denmark6
Plasma Physics and Fusion Energy, Department of Physics, Technical University of Denmark7
The influence of asymmetry in the coupling between repulsive particles is studied. A prominent example is the social force model for pedestrian dynamics in a long corridor where the asymmetry leads to anisotropy in the repulsion such that pedestrians in front, i.e., in walking direction, have a bigger influence on the pedestrian behavior than those behind.
In addition to one-and two-lane free flow situations, a new traveling regime is found that is reminiscent of peristaltic motion. We study the regimes and their respective stability both analytically and numerically. First, we introduce a modified social force model and compute the boundaries between different regimes analytically by a perturbation analysis of the one-lane and two-lane flow.
Afterwards, the results are verified by direct numerical simulations in the parameter plane of pedestrian density and repulsion strength from the walls.
Language: | English |
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Publisher: | American Institute of Mathematical Sciences (AIMS) |
Year: | 2019 |
Pages: | 73-100 |
ISSN: | 21632472 and 21632480 |
Types: | Journal article |
DOI: | 10.3934/eect.2019005 |
ORCIDs: | Sørensen, Mads Peter , Christiansen, Peter L. and Rasmussen, Jens Juul |