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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

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

Robots are increasingly being deployed in public spaces such as shopping malls, sidewalks, and hospitals, where safe and socially aware navigation depends on anticipating how pedestrians respond to their presence. However, existing datasets…

Human-Computer Interaction · Computer Science 2026-03-06 Subham Agrawal , Nico Ostermann-Myrau , Nils Dengler , Maren Bennewitz

Understanding and predicting pedestrian crossing behavior is essential for enhancing automated driving and improving driving safety. Predicting gap selection behavior and the use of zebra crossing enables driving systems to proactively…

Machine Learning · Computer Science 2024-04-16 Chi Zhang , Janis Sprenger , Zhongjun Ni , Christian Berger

Accumulation at boundaries represents a widely observed phenomenon in active systems with implications for microbial ecology and engineering applications. To rationalize the underlying physics, we provide analytical predictions for the…

Statistical Mechanics · Physics 2026-03-13 Yanis Baouche , Mathis Guéneau , Christina Kurzthaler

Self-propelled active matter can exhibit vastly different behavior than systems with purely Brownian motion. In Eur. Phys. J. E 40, 23 (2017), Zeitz, Wolf, and Stark compared an active matter particle with a Brownian particle moving in a…

Soft Condensed Matter · Physics 2026-03-06 C. Reichhardt , C. J. O. Reichhardt

The major advances in intelligent transportation systems are pushing societal services toward autonomy where road management is to be more agile in order to cope with changes and continue to yield optimal performance. However, the…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Dayuan Tan , Mohamed Younis , Wassila Lalouani , Shuyao Fan , Guozhi Song

Quantitatively understanding of the dynamics of an active Brownian particle (ABP) interacting with a viscoelastic polymer environment is a scientific challenge. It is intimately related to several interdisciplinary topics such as the…

Statistical Mechanics · Physics 2020-08-17 Sungmin Joo , Xavier Durang , O-chul Lee , Jae-Hyung Jeon

A spreading process can be observed when a particular behavior, substance, or disease spreads through a population over time in social and biological systems. It is widely believed that contact interactions among individual entities play an…

Physics and Society · Physics 2024-01-08 Jaeyoung Kwak , Michael H. Lees , Wentong Cai

In this paper a comparison between first order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number $N$ of pedestrians. The novelty is the fact of considering massive agents, namely…

Analysis of PDEs · Mathematics 2016-03-22 Alessandro Corbetta , Andrea Tosin

Pedestrian safety is a critical public health priority, with pedestrian fatalities accounting for 18% of all U.S. traffic deaths in 2022. The rising prevalence of distracted walking, exacerbated by mobile device use, poses significant risks…

Human-Computer Interaction · Computer Science 2025-03-24 Methusela Sulle , Judith Mwakalonge , Gurcan Comert , Saidi Siuhi , Nana Kankam Gyimah , Jaylen Roberts , Denis Ruganuza

We consider mean trajectories of multiple tracking points on a rigid body that conducts Brownian motion in the absence and presence of an external force field. Based on a na\"{\i}ve representation of rigid body - polygon and polyhedron…

Statistical Mechanics · Physics 2021-01-19 Jianping Xu

Urban intersections with mixed pedestrian and non-motorized vehicle traffic present complex safety challenges, yet traditional models fail to account for dynamic interactions arising from speed heterogeneity and collision anticipation. This…

Physics and Society · Physics 2025-10-07 Chaojia Yu , Kaixin Wang , Junle Li , Jingjie Wang

Vehicular traffic is a classical example of a multi-agent system in which autonomous drivers operate in a shared environment. The article provides an overview of the state-of-the-art in microscopic traffic modeling and the implications for…

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

Environmental, demographical and psychological factors have a demonstrated impact on risky crossing behaviour. In this work we focus on the potential influence of social factors on the considered phenomenon (i.e. group crossing decision).…

Multiagent Systems · Computer Science 2018-01-10 Andrea Gorrini , Luca Crociani , Giuseppe Vizzari , Stefania Bandini

We introduce and study a model of active Brownian motion with multiplicative noise describing fluctuations in the self-propulsion or activity. We find that the standard picture of density accumulation in slow regions is qualitatively…

Soft Condensed Matter · Physics 2023-03-29 Benoît Mahault , Prakhar Godara , Ramin Golestanian

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

Soft Condensed Matter · Physics 2017-02-03 René Wittmann , Joseph M. Brader

We propose a stochastic dynamic model of migration and economic aggregation in a system of employed (immobile) and unemployed (mobile) agents which respond to local wage gradients. Dependent on the local economic situation, described by a…

adap-org · Physics 2007-05-23 Frank Schweitzer

The diffusive behavior of small entities is strongly influenced by the flow of the surrounding medium, which is ubiquitous in natural and artificial environments. In this study, we investigate the transport characteristics of the inertial…

Soft Condensed Matter · Physics 2025-11-19 Ankit Gupta , P. S. Burada

Walking as a form of active travel is essential in promoting sustainable transport. It is thus crucial to accurately predict pedestrian crossing intention and avoid collisions, especially with the advent of autonomous and advanced…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Chia-Yen Chiang , Yasmin Fathy , Gregory Slabaugh , Mona Jaber