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A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

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 report on two series of experiments, conducted in the frame of two different collaborations designed to study how pedestrians adapt their trajectories and velocities in groups or crowds. Strong emphasis is put on the motivations for the…

In our urbanised societies, the management and regulation of traffic and pedestrian flows is of considerable interest for public safety, economic development, and the conservation of the environment. However, modelling and controlling the…

Physics and Society · Physics 2025-11-17 Antoine Tordeux , Cécile Appert-Rolland , Alexandre Nicolas , Armin Seyfried , Denis Ullmo

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond

Pedestrian groups are commonly found in crowds but research on their social aspects is comparatively lacking. To fill that void in literature, we study the dynamics of collision avoidance between pedestrian groups (in particular dyads) and…

Physics and Society · Physics 2023-05-31 Adrien Gregorj , Zeynep Yücel , Francesco Zanlungo , Claudio Feliciani , Takayuki Kanda

The goal of this work is to study an infectious disease spreading in a medium size population occupying a confined environment. For this purpose, we consider a kinetic theory approach to model crowd dynamics in bounded domains and couple it…

Physics and Society · Physics 2020-04-28 Daewa Kim , Annalisa Quaini

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

Mathematical Physics · Physics 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

There are different physics-based approaches for analysing pedestrian movement. Physics-based methods like statistical mechanics-based models apply the laws of physics to drive equations for analysing crowd behaviour. This paper will…

Physics and Society · Physics 2022-11-15 Amir Ghorbani

This contribution describes efforts to model the behavior of individual pedestrians and their interactions in crowds, which generate certain kinds of self-organized patterns of motion. Moreover, this article focusses on the dynamics of…

Physics and Society · Physics 2013-09-09 Dirk Helbing , Anders Johansson

Crowd studies have gained increasing relevance due to the recurring incidents of crowd crush accidents. In addressing the issue of the crowd's persistent dynamism, this paper explored the macroscopic and microscopic features of pedestrians…

Physics and Society · Physics 2023-11-28 Jinghui Wang , Wei Lv , Huihua Jiang , Zhiming Fang , Jian Ma

Human crowds often bear a striking resemblance to interacting particle systems, and this has prompted many researchers to describe pedestrian dynamics in terms of interaction forces and potential energies. The correct quantitative form of…

Physics and Society · Physics 2014-12-04 Ioannis Karamouzas , Brian Skinner , Stephen J. Guy

This paper presents a new approach to behavioral-social dynamics of pedestrian crowds by suitable development of methods of the kinetic theory. It is shown how heterogeneous individual behaviors can modify the collective dynamics, as well…

Physics and Society · Physics 2014-11-05 Nicola Bellomo , Livio Gibelli

The behavior of pedestrians shows certain regularities, which can be described by quantitative (partly stochastic) models. The models are based on the behavior of individual pedestrians, which depends on the pedestrian intentions and on the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Understanding pedestrian dynamics is crucial for appropriately designing pedestrian spaces. The pedestrian fundamental diagram (FD), which describes the relationship between pedestrian flow and density within a given space, characterizes…

Adaptation and Self-Organizing Systems · Physics 2024-08-27 Kota Nagasaki , Keiichiro Fujiya , Toru Seo

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

We investigate in real-life conditions and with very high accuracy the dynamics of body rotation, or yawing, of walking pedestrians - an highly complex task due to the wide variety in shapes, postures and walking gestures. We propose a…

Physics and Society · Physics 2020-07-21 Joris Willems , Alessandro Corbetta , Vlado Menkovski , Federico Toschi

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of…

Statistical Mechanics · Physics 2020-08-26 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean , T. K. Thoa Thieu