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Distribution of time lags between pedestrians

Przemysław Gawroński 1,  Jarosław Wąs 2,  Arkadiusz Kupczak 1,  Janusz Malinowski 1,  Wiesława Sikora 1,  Krzysztof Kułakowski 1

1. AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30-059, Poland
2. AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, IT and Electronics, Kraków 30-059, Poland

Abstract
We are interested in the probability distribution P(τ) of time lags τ between moments when successive pedestrians cross a given line, e. g. a door. Recent simulations [1] within the Social Force Model [2] suggest that this distribution contain a relevant information on the mode of motion, e.g. the desired velocity. Here we report a series of measurements of  τ, supplemented by the analysis of related materials from Internet.

[1] P. Gawronski, K. Kulakowski, M. Kampf and J. Kantelhardt, Acta Phys. Pol. A (2012), in print (arXiv:1103.0403)

[2] D. Helbing, I. Farkas and T. Vicsek, Nature 407 (2000) 487.

 

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Presentation: Poster at 6 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Przemysław Gawroński
See On-line Journal of 6 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2012-01-11 13:40
Revised:   2012-01-13 23:41