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In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they try to cross a road. A numerical study of this coupled…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Rui Jiang , Martin Treiber

Fractional Brownian motion is a Gaussian stochastic process with long-range correlations in time; it has been shown to be a useful model of anomalous diffusion. Here, we investigate the effects of mutual interactions in an ensemble of…

Statistical Mechanics · Physics 2025-09-15 Jonathan House , Rashad Bakhshizada , Skirmantas Janušonis , Ralf Metzler , Thomas Vojta

We consider the distribution of the duration time, the time elapsed since it began, of a diffusion process given its present position, under the assumption that the process began at the origin. For unbiased diffusion, the distribution does…

Statistical Mechanics · Physics 2013-11-28 Hernán Larralde

A high fidelity model for the propagation of pathogens via aerosols in the presence of moving pedestrians is proposed. The key idea is the tight coupling of computational fluid dynamics and computational crowd dynamics in order to capture…

Physics and Society · Physics 2020-09-09 Rainald Löhner , Harbir Antil

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

Physics and Society · Physics 2025-04-24 Piotr Nyczka , Pratik Mullick

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

Physics and Society · Physics 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

The mean-squared displacement (MSD) is an averaged quantity widely used to assess anomalous diffusion. In many cases, such as molecular motors with finite processivity, dynamics of the system of interest produce trajectories of varying…

Statistical Mechanics · Physics 2020-10-07 Chapin S. Korosec , David A. Sivak , Nancy R. Forde

In this paper, controlled experiments have been conducted to make deep analysis on the obstacle evading behavior of individual pedestrians affected by one obstacle. Results of Fourier Transform show that with the increase of obstacle width,…

Physics and Society · Physics 2019-06-13 Xiaolu Jia , Claudio Feliciani , Daichi Yanagisawa , Katsuhiro Nishinari

This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze scenarios where one population (population $1$) must…

Analysis of PDEs · Mathematics 2025-01-28 Mariam Al Khatib , Said Gounane , Noureddine Igbida , Ghadir Jradi

We focus on the modeling and simulation of an infectious disease spreading in a medium size population occupying a confined environment, such as an airport terminal, for short periods of time. Because of the size of the crowd and venue, we…

Physics and Society · Physics 2021-07-27 Daewa Kim , Annalisa Quaini

Spatiotemporal disorder has been recently associated to the occurrence of anomalous nonergodic diffusion of molecular components in biological systems, but the underlying microscopic mechanism is still unclear. We introduce a model in which…

Statistical Mechanics · Physics 2017-03-15 C. Charalambous , G. Muñoz-Gil , A. Celi , M. F. Garcia-Parajo , M. Lewenstein , C. Manzo , M. A. García-March

Contacts' temporal ordering and dynamics are crucial for understanding the transmission of infectious diseases. We introduce an interaction-driven model of an airborne disease over contact networks. We demonstrate our interaction-driven…

Social and Information Networks · Computer Science 2022-08-11 Alex Abbey , Yanir Marmor , Yuval Shahar , Osnat Mokryn

Real-life, out-of-laboratory, measurements of pedestrian movements allow extensive and fully-resolved statistical analyses. However, data acquisition in real-life is subjected to the wide heterogeneity that characterizes crowd flows over…

Physics and Society · Physics 2017-07-04 Alessandro Corbetta , Chung-min Lee , Adrian Muntean , Federico Toschi

Networks are commonly used to define underlying interaction structures where infections, information, or other quantities may spread. Although the standard approach has been to aggregate all links into a static structure, some studies…

Physics and Society · Physics 2014-01-23 Luis Enrique Correa Rocha , Vincent D Blondel

We study the dynamics of pedestrian evacuations through a narrow doorway by means of controlled experiments. The influence of the pedestrians' behaviours is investigated by prescribing a selfish attitude to a fraction c\_s of the…

Physics and Society · Physics 2017-01-11 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

Halting a computer or biological virus outbreak requires a detailed understanding of the timing of the interactions between susceptible and infected individuals. While current spreading models assume that users interact uniformly in time,…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Alexei Vazquez , Racz Balazs , Lukacs Andras , Albert-Laszlo Barabasi

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

The influence of cohesion among members of dyads is investigated in scenarios characterized by uni-directional flow by means of a discrete model: a corridor and the egress from a room with a bottleneck of varying width are simulated. The…

Multiagent Systems · Computer Science 2017-11-01 Luca Crociani , Yiping Zeng , Andrea Gorrini , Giuseppe Vizzari , Weiguo Song

We study viral transmission in crowds via the short-ranged airborne pathway using a purely model-based approach. Our goal is two-pronged. Firstly, we illustrate with a concrete and pedagogical case study how to estimate the risks of new…

Multiagent Systems · Computer Science 2023-12-05 Alexandre Nicolas , Simon Mendez