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We investigate the nonequilibrium dynamics of spherical active Brownian particles in three spatial dimensions that interact via a pair potential. The investigation is based on a predictive local field theory that is derived by a rigorous…

Soft Condensed Matter · Physics 2020-08-19 Jens Bickmann , Raphael Wittkowski

To better design safe and comfortable urban spaces, understanding the nature of human crowd movement is important. However, precise interactions among pedestrians are difficult to measure in the presence of their complex decision-making…

The intersecting pedestrian flow on the 2D lattice with random update rule is studied. Each pedestrian has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some…

Cellular Automata and Lattice Gases · Physics 2017-03-06 Zhong-Jun Ding , Shao-Long Yu , Kongjin Zhu , Jian-Xun Ding , Bokui Chen , Qin Shi , Rui Jiang , Bing-Hong Wang

The intelligent vehicle community has devoted considerable efforts to model driver behavior, and in particular to detect and overcome driver distraction in an effort to reduce accidents caused by driver negligence. However, as the domain…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Akshay Rangesh , Mohan M. Trivedi

Social robot navigation in crowded public spaces such as university campuses, restaurants, grocery stores, and hospitals, is an increasingly important area of research. One of the core strategies for achieving this goal is to understand…

Robotics · Computer Science 2025-03-28 Rohan Chandra , Haresh Karnan , Negar Mehr , Peter Stone , Joydeep Biswas

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

In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

This study presents an initial framework for distinguishing group and single pedestrians based on real-world trajectory data, with the aim of analyzing their differences in space utilization and emergent behavioral patterns. By segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Amartaivan Sanjjamts , Morita Hiroshi

Recent research has increasingly focused on how autonomous vehicles (AVs) communicate with pedestrians in complex traffic situations involving multiple vehicles and pedestrians. VR is emerging as an effective tool to simulate these…

Human-Computer Interaction · Computer Science 2024-10-22 Tram Thi Minh Tran , Callum Parker

We use a first-passage time approach to study the statistics of the trapping times induced by persistent motion of active particles colliding with flat boundaries. The angular first-passage time distribution and mean first-passage time is…

Statistical Mechanics · Physics 2022-08-02 Emily Qing Zang Moen , Kristian Stølevik Olsen , Jonas Rønning , Luiza Angheluta

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

Robotics · Computer Science 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

Accurate prediction of pedestrian and bicyclist paths is integral to the development of reliable autonomous vehicles in dense urban environments. The interactions between vehicle and pedestrian or bicyclist have a significant impact on the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Apratim Bhattacharyya , Daniel Olmeda Reino , Mario Fritz , Bernt Schiele

We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjust its direction of motion accordingly. An analytical and simulation…

Soft Condensed Matter · Physics 2024-06-04 Segun Goh , Roland G. Winkler , Gerhard Gompper

We observe body-rotation behavior of pedestrians to avoid others when they are moving in congested situations. In such cases, body orientation often differs from walking direction, i.e., pedestrians step sideways. In this paper, we focused…

Physics and Society · Physics 2019-04-08 Hiroki Yamamoto , Daichi Yanagisawa , Claudio Feliciani , Katsuhiro Nishinari

Unlike equilibrium systems, active matter is not governed by the conventional laws of thermodynamics. Through a series of analytic calculations and Langevin dynamics simulations, we explore how systems cross over from equilibrium to active…

Soft Condensed Matter · Physics 2018-03-28 Ayhan Duzgun , Jonathan V. Selinger

We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to infinity. Despite the global interactions between particles in multilevel Dyson…

Probability · Mathematics 2014-09-09 Vadim Gorin , Mykhaylo Shkolnikov

Various challenges are faced when animalcules such as bacteria, protozoa, algae, or sperms move autonomously in aqueous media at low Reynolds number. These active agents are subject to strong stochastic fluctuations, that compete with the…

Soft Condensed Matter · Physics 2017-01-16 Christina Kurzthaler , Sebastian Leitmann , Thomas Franosch

Using Brownian dynamics simulations, the motion of active Brownian particles (ABPs) in the presence of fuel (or 'food') sources is studied. It is an established fact that within confined stationary systems, the activity of ABPs generates…

Biological Physics · Physics 2020-07-01 Holger Merlitz , Hidde Derk Vuijk , Rene Wittmann , Abhinav Sharma , Jens-Uwe Sommer

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