Abstract
Qualitative observations in ecological settings along with theoretical and numerical models suggest that when two different pedestrian streams cross a shared area, stripe-like self-organised structure emerge in order to minimise collisions and facilitate the flow. Although the phenomenon has been known for relatively long time, a systematic and quantitative verification of it through controlled experiment has been performed only recently. In this work we analysed such an experiment in which the geometry was kept fixed while changing density, in order to verify if there is a minimum density for stripe formation, and more in general the dependence on density of the phenomenon. An analysis based on two different observables, namely the angle identifying the position of the first neighbour in the same flow, and an order parameter to identify the direction of the environment presenting the higher regularity (the presence of a stripe) suggests that, although the stripe formation pattern is particularly strong at intermediate densities, the tendency to walk on a diagonal stripe is present also at considerably low densities.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
References
Y. Naka, Mechanism of cross passenger flow - study on complicated passenger flow in railway station (Part I), Trans Arch Inst Jpn 258 (1977) 93–102, (in Japanese).
K. Ando, H. Ota, T. Oki, Forecasting the flow of people, Railway Research Review 45 (8) (1988) 8–14, (in Japanese).
J. Cividini, C. Appert-Rolland, H.-J. Hilhorst, Diagonal patterns and chevron effect in intersecting traffic flows, EPL (Europhysics Letters) 102 (2) (2013) 20002.
J. Cividini, C. Appert-Rolland, Wake-mediated interaction between driven particles crossing a perpendicular flow, Journal of Statistical Mechanics: Theory and Experiment 2013 (07) (2013) P07015.
J. Cividini, H. Hilhorst, C. Appert-Rolland, Crossing pedestrian traffic flows, the diagonal stripe pattern, and the chevron effect, Journal of Physics A: Mathematical and Theoretical 46 (34) (2013) 345002.
S. Hittmeir, H. Ranetbauer, C. Schmeiser, M.T. Wolfram, Derivation and analysis of continuum models for crossing pedestrian traffic, arXiv:1612.07582 (2016).
C. Totzeck, An anisotropic interaction model with collision avoidance, arXiv:1912.04234 (2019).
P. Mullick, S. Fontaine, C. Appert-Rolland, A.-H. Olivier, W. H. Warren, J. Pettr´e, Analysis of emergent patterns in crossing flows of pedestrians reveals an invariant of ’stripe’ formation in human data, PLOS Computational Biology, 18 (6) (2022), e1010210.
F. Zanlungo, C. Feliciani, Z. Yücel, K. Nishinari, T. Kanda, Macroscopic and microscopic dynamics of a pedestrian cross-flow: Part I, experimental analysis, Safety Science 158 (2023): 105953.
M. Boltes, A. Seyfried, B. Steffen, A. Schadschneider, Automatic extraction of pedestrian trajectories from video recordings, in: Pedestrian and Evacuation Dynamics 2008, Springer, 2010, pp. 43–54.
M. Boltes, A. Seyfried, Collecting pedestrian trajectories, Neurocomputing 100 (2013) 127–133.
H. Murakami, C. Feliciani, K. Nishinari, Lévy walk process in self-organization of pedestrian crowds, Journal of the Royal Society Interface 16, no. 153 (2019): 20180939.
Acknowledgements
This work was partially supported by JST Moonshot R and D under Grant Number JPMJMS2011, by JST-Mirai Program under Grant Number JPMJMI20D1 and JSPS KAKENHI under Grant Number JP20K14992.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Zanlungo, F. et al. (2024). Density Dependence of Stripe Formation in a Cross-Flow. In: Rao, K.R., Seyfried , A., Schadschneider, A. (eds) Traffic and Granular Flow '22 . TGF 2022. Lecture Notes in Civil Engineering, vol 443. Springer, Singapore. https://doi.org/10.1007/978-981-99-7976-9_18
Download citation
DOI: https://doi.org/10.1007/978-981-99-7976-9_18
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-7975-2
Online ISBN: 978-981-99-7976-9
eBook Packages: EngineeringEngineering (R0)