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We describe a simple experiment involving spheres rolling down an inclined plane towards a bottleneck and through a gap. Results of the experiment indicate that flow rate can be increased by placing an obstruction at optimal positions near…

Soft Condensed Matter · Physics 2017-03-23 Alan Murray , Fernando Alonso-Marroquin

We propose a many-particle-inspired theory for granular outflows from a hopper and for the escape dynamics through a bottleneck based on a continuity equation in polar coordinates. If the inflow is below the maximum outflow, we find an…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Anders Johansson , Joachim Mathiesen , Mogens H. Jensen , Alex Hansen

We examine the mixing time for random walks on graphs. In particular we are interested on investigating graphs with bottlenecks. Furthermore, the cutoff phenomenon is examined.

Probability · Mathematics 2019-07-02 Ioannis Papageorgiou

Reliable empirical data and proper understanding of pedestrian dynamics are necessary for fire safety design. However, specifications and data in different handbooks as well as experimental studies differ considerably. In this study, series…

Physics and Society · Physics 2013-12-10 Jun Zhang , Armin Seyfried

The results of a systematic quantitative validation of PEDFLOW based on the experimental data from FZJ are presented. Unidirectional flow experiments, totaling 28 different combinations with varying entry, corridor and exit widths, were…

Physics and Society · Physics 2022-02-18 J. Zhang , D. Britto , M. Chraibi , R. Löhner , E. Haug , B. Gawenat

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

Fundamental diagrams describing the relation between pedestrians speed and density are key points in understanding pedestrian dynamics. Experimental data evidence the onset of complex behaviors in which the velocity decreases with the…

Statistical Mechanics · Physics 2017-03-03 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

When two pedestrians travelling in opposite directions approach one another, each must decide on which side (the left or the right) they will attempt to pass. If both make the same choice then passing can be completed with ease, while if…

Physics and Society · Physics 2016-05-19 Nickolas A. Morton , Shaun C. Hendy

When suspended particles are pushed by liquid flow through a constricted channel they might either pass the bottleneck without trouble or encounter a permanent clog that will stop them forever. However, they may also flow intermittently…

Fluid Dynamics · Physics 2020-07-01 Mathieu Souzy , Iker Zuriguel , Alvaro Marin

In this study, series of experiments under laboratory conditions were carried out to investigate pedestrian flow through a T-junction, i.e., two branches merging into the main stream. The whole duration of the experiments was recorded by…

Physics and Society · Physics 2013-12-10 Jun Zhang , Wolfram Klingsch , Andreas Schadschneider , Armin Seyfried

In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose a discrete-time Eulerian model, in which the space…

Mathematical Physics · Physics 2009-07-02 Benedetto Piccoli , Andrea Tosin

Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices…

Physics and Society · Physics 2022-10-03 Alessandro Gabbana , Federico Toschi , Philip Ross , Antal Haans , Alessandro Corbetta

From single vehicle data a number of new empirical results concerning the density-dependence of the velocity distribution and its moments as well as the characteristics of their temporal fluctuations have been determined. These are utilized…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

"Oscillations" occur in quite different kinds of many-particle-systems when two groups of particles with different directions of motion meet or intersect at a certain spot. We present a model of pedestrian motion that is able to reproduce…

Statistical Mechanics · Physics 2014-02-10 Tobias Kretz , Marko Woelki , Michael Schreckenberg

We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flow. We apply this mechanism to several car-following models and…

Physics and Society · Physics 2007-08-08 Martin Treiber , Arne Kesting , Dirk Helbing

This article considers execution and analysis of laboratory experiments of pedestrians moving in a quasi-one-dimensional system with periodic boundary conditions. To analyze characteristics of jams in the system we aim to use the whole…

Physics and Society · Physics 2016-02-10 Verena Ziemer , Armin Seyfried , Andreas Schadschneider

Through the development of a microscopic deterministic model in the framework of three-phase traffic theory, microscopic features of vehicle overacceleration, which determines the occurrence of the metastability of free traffic flow at a…

Physics and Society · Physics 2025-04-22 Boris S. Kerner , Sergey L. Klenov

In this paper, a simple 1D crowd model is proposed, which aim is to properly describe the crowd-flow phenomena occurring when pedestrians walk on a flexible footbridge. The crowd is assumed to behave like a continuous compressible fluid and…

Classical Physics · Physics 2009-01-13 Joanna Bodgi , Silvano Erlicher , Pierre Argoul

We show that keeping a constant lower limit on the net-time headway is the key mechanism behind the dynamics of pedestrian streams. There is a large variety in flow and speed as functions of density for empirical data of pedestrian streams,…

Physics and Society · Physics 2015-05-14 Anders Johansson

Pedestrian routing choices play a crucial role in shaping collective crowd dynamics, yet the influence of interactions among unfamiliar individuals remains poorly understood. In this study, we analyze real-world pedestrian behavior at a…

Physics and Society · Physics 2026-03-25 Ziqi Wang , Alessandro Gabbana , Federico Toschi