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It has become widely known that when two flows of pedestrians cross stripes emerge spontaneously by which the pedestrians of the two walking directions manage to pass each other in an orderly manner. In this work, we report about the…

Traffic waves are phenomena that emerge when the vehicular density exceeds a critical threshold. Considering the presence of increasingly automated vehicles in the traffic stream, a number of research activities have focused on the…

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

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

Traffic safety at intersections is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes,…

Statistical Mechanics · Physics 2023-11-17 Andreas Leich , Ronald Nippold , Andreas Schadschneider , Peter Wagner

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · Physics 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

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

The motion of pedestrians is subject to a wide range of influences and exhibits a rich phenomenology. To enable precise measurement of the density and velocity we use an alternative definition using Voronoi diagrams which exhibits smaller…

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

Data Analysis, Statistics and Probability · Physics 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

In this paper we devise a microscopic (agent-based) mathematical model for reproducing crowd behaviour in a specific scenario: a number of pedestrians, consisting of numerous social groups, flow along a corridor until a gate located at the…

Dynamical Systems · Mathematics 2022-07-19 Giuseppe G. Amaro , Emiliano Cristiani , Marta Menci

A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or…

Analysis of PDEs · Mathematics 2015-12-24 Igor Chueshov , Earl H. Dowell , Irena Lasiecka , Justin T. Webster

We propose a stochastic model for the intersection of two urban streets. The traffic state at the crossroads is controlled by a set of traffic lights, which periodically switch to red and green with a total period of T. Vehicular dynamics…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Nima Hamedani Radja

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

The study of crowd dynamics is interesting because of the various self-organization phenomena resulting from the interactions of many pedestrians, which may improve or obstruct their flow. Besides formation of lanes of uniform walking…

Physics and Society · Physics 2008-10-28 Anders Johansson , Dirk Helbing , Habib Z. Al-Abideen , Salim Al-Bosta

The relative dynamics in collision avoidance between individual pedestrians and dyads has been recently studied, and it was shown that individuals may intrude dyads that are not socially interacting. Building on this, our current study…

Physics and Society · Physics 2024-06-11 Adrien Gregorj , Zeynep Yücel , Francesco Zanlugo , Takayuki Kanda

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

Experimental results for congested pedestrian traffic are presented. For data analysis we apply a method providing measurements on an individual scale. The resulting velocity-density relation shows a coexistence of moving and stopping…

Physics and Society · Physics 2010-06-18 A. Seyfried , A. Portz , A. Schadschneider

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that could explain in a simple way such observed self-organizing phenomena as the sequence of the phase transitions "free flow ->…

Soft Condensed Matter · Physics 2007-05-23 Ihor A. Lubashevsky , Reinhard Mahnke

Stop-and-go waves in single-file movement are a phenomenon that is ob- served empirically in pedestrian dynamics. It manifests itself by the co-existence of two phases: moving and stopping pedestrians. We show analytically based on a…

Physics and Society · Physics 2015-12-04 Mohcine Chraibi , Antoine Tordeux , Andreas Schadschneider

Stop-and-go waves in vehicular traffic are commonly explained as a linear collective instability induced by e.g. response delays. We explore an alternative mechanism that more faithfully mirrors oscillation formation in dense single-file…

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