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Despite the long history of modelling human mobility, we continue to lack a highly accurate approach with low data requirements for predicting mobility patterns in cities. Here, we present a population-weighted opportunities model without…

Physics and Society · Physics 2017-10-03 Xiao-Yong Yan , Chen Zhao , Ying Fan , Zengru Di , Wen-Xu Wang

Predicting human displacements is crucial for addressing various societal challenges, including urban design, traffic congestion, epidemic management, and migration dynamics. While predictive models like deep learning and Markov models…

Computers and Society · Computer Science 2024-08-07 Sebastiano Bontorin , Simone Centellegher , Riccardo Gallotti , Luca Pappalardo , Bruno Lepri , Massimiliano Luca

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

Physics and Society · Physics 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

We address here the issue of congestion in the modeling of crowd motion, in the non-smooth framework: contacts between people are not anticipated and avoided, they actually occur, and they are explicitly taken into account in the model. We…

Numerical Analysis · Mathematics 2015-03-17 B. Maury , A. Roudneff-Chupin , F. Santambrogio , J. Venel

Dynamic arrest is a general phenomenon across a wide range of dynamic systems, but the universality of dynamic arrest phenomena remains unclear. We relate the emergence of traffic jams in a simple traffic flow model to the dynamic slow down…

Statistical Mechanics · Physics 2013-06-27 A. S. de Wijn , D. M. Miedema , B. Nienhuis , P. Schall

Pedestrian congestion at corridor intersections often originates from localized fluctuations in motion rather than from a macroscopic collapse of flow. Understanding pedestrian instability at corridor intersections remains challenging…

Understanding movement in heterogeneous groups is important for a meaningful evaluation of evacuation prediction and for a proper design of buildings. The understanding of interactions and influencing factors in heterogeneous groups on key…

Physics and Society · Physics 2018-12-11 Paul Geoerg , Jette Schumann , Maik Boltes , Stefan Holl , Anja Hofmann

The Social Force Model of pedestrian dynamics is formulated in a way that a) most of its parameters do not have an immediate interpretation, b) often one single parameter has an impact on many aspects of walking behavior and c) a certain…

Physics and Society · Physics 2018-01-03 Tobias Kretz , Jochen Lohmiller , Peter Sukennik

Several factors influence traffic congestion and overall traffic dynamics. Simulation modeling has been utilized to understand the traffic performance parameters during traffic congestions. This paper focuses on driver behavior of route…

Systems and Control · Electrical Eng. & Systems 2019-07-17 Ben Benzaman , Erfan Pakdamanian

Understanding the spatial dynamics of cars within urban systems is essential for optimizing infrastructure management and resource allocation. Recent empirical approaches for analyzing traffic patterns have gained traction due to their…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Kangan Qian , Jinyu Miao , Xinyu Jiao , Ziang Luo , Zheng Fu , Yining Shi , Yunlong Wang , Kun Jiang , Diange Yang

Single-file dynamics has been studied intensively, both experimentally and theoretically. It shows interesting collective effects, such as stop-and-go waves, which are validation cornerstones for any agent-based modeling approach of traffic…

Physics and Society · Physics 2023-08-16 Jakob Cordes , Mohcine Chraibi , Antoine Tordeux , Andreas Schadschneider

Human mobility in cities is shaped not only by visible structures such as highways, rivers, and parks but also by invisible barriers rooted in socioeconomic segregation, uneven access to amenities, and administrative divisions. Yet…

Computers and Society · Computer Science 2025-07-01 Guangyuan Weng , Minsuk Kim , Yong-Yeol Ahn , Esteban Moro

Assessing mobility in a thorough fashion is a crucial step toward more efficient mobile network design. Recent research on mobility has focused on two main points: analyzing models and studying their impact on data transport. These works…

Networking and Internet Architecture · Computer Science 2007-05-23 Vincent Borrel , Franck Legendre , Marcelo Dias de Amorim , Serge Fdida

The two main data categories of vehicular traffic flow, stationary detector data and floating-car data, are also available for many Marathons and other mass-sports events: Loop detectors and other stationary data sources find their…

Physics and Society · Physics 2016-10-12 Martin Treiber

We present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

Statistical Mechanics · Physics 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

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

Human mobility patterns deeply affect the dynamics of many social systems. In this paper, we empirically analyze the real-world human movements based GPS records, and observe rich scaling properties in the temporal-spatial patterns as well…

Physics and Society · Physics 2015-06-15 Xiang-Wen Wang , Xiao-Pu Han , Bing-Hong Wang

We show that the dynamics of simple disordered models, like the directed Trap Model and the Random Energy Model, takes place at a coexistence point between active and inactive dynamical phases. We relate the presence of a dynamic phase…

Statistical Mechanics · Physics 2008-09-03 Kristina Van Duijvendijk , Grégory Schehr , Frédéric Van Wijland

Standard epidemic models based on compartmental differential equations are investigated under continuous parameter change as external forcing. We show that seasonal modulation of the contact parameter superimposed a monotonic decay needs a…

Populations and Evolution · Quantitative Biology 2020-08-13 Tamás Kovács