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We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

Mathematical Physics · Physics 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch

Inferring plausible node mobility based only on information from wireless contact traces is a difficult problem. Working with mobility information allows richer protocol simulations, particularly in dense networks, but requires complex…

Networking and Internet Architecture · Computer Science 2010-11-29 John Whitbeck , Marcelo Dias de Amorim , Vania Conan , Mostafa Ammar , Ellen Zegura

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

The design of adaptive structures is one method to improve sustainability of buildings. Adaptive structures are able to adapt to different loading and environmental conditions or to changing requirements by either small or large shape…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Renate Sachse , Florian Geiger , Manfred Bischoff

We present a deformation-dependent propulsion phenomenon for soft particles such as cells in microchannels. It is based on a broken time reversal symmetry generated by a fast forward and slow backward motion of a fluid which does not…

Soft Condensed Matter · Physics 2022-02-22 Winfried Schmidt , Andre Förtsch , Matthias Laumann , Walter Zimmermann

The progress of image processing during recent years allows the measurement of pedestrian characteristics on a "microscopic" scale with low costs. However, density and flow are concepts of fluid mechanics defined for the limit of infinitely…

Physics and Society · Physics 2015-05-14 Bernhard Steffen , Armin Seyfried

We consider a basic one-dimensional model of diffusion which allows to obtain a diversity of diffusive regimes whose speed depends on the moments of the per-site trapping time. This model is closely related to the continuous time random…

Probability · Mathematics 2019-03-08 Elena Floriani , Ricardo Lima , Edgardo Ugalde

The increasing number of mass events involving large crowds calls for a better understanding of the dynamics of dense crowds. Inquiring into the possibility of a mechanical description of these dynamics, we experimentally study the crossing…

We use topological data analysis and machine learning to study a seminal model of collective motion in biology [D'Orsogna et al., Phys. Rev. Lett. 96 (2006)]. This model describes agents interacting nonlinearly via attractive-repulsive…

Learning to manipulate objects efficiently, particularly those involving sustained contact (e.g., pushing, sliding) and articulated parts (e.g., drawers, doors), presents significant challenges. Traditional methods, such as robot-centric…

Robotics · Computer Science 2025-03-18 Shijie Fang , Wenchang Gao , Shivam Goel , Christopher Thierauf , Matthias Scheutz , Jivko Sinapov

In many biological systems, motile agents exhibit random motion with short-term directional persistence, together with crowding effects arising from spatial exclusion. We formulate and study a class of lattice-based models for multiple…

Biological Physics · Physics 2019-11-06 Stephen Zhang , Aaron Chong , Barry D. Hughes

We explore the feasibility of foundation models for the simulation of physical phenomena, with emphasis on continuum (solid and fluid) mechanics. Although so-called learned simulators have shown some success when applied to specific tasks,…

Computational Engineering, Finance, and Science · Computer Science 2024-10-21 Alicia Tierz , Mikel M. Iparraguirre , Iciar Alfaro , David Gonzalez , Francisco Chinesta , Elias Cueto

Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic…

Analysis of PDEs · Mathematics 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

We study a one-dimensional model for heavy particles in a compressible fluid. The fluid-velocity field is modelled by a persistent Gaussian random function, and the particles are assumed to be weakly inertial. Since one-dimensional…

Fluid Dynamics · Physics 2019-08-06 J. Meibohm , B. Mehlig

We consider two minimal models of active fluid droplets that exhibit complex dynamics including steady motion, deformation, rotation and oscillating motion. First we consider a droplet with a concentration of active contractile matter…

Soft Condensed Matter · Physics 2016-12-20 Carl A. Whitfield , Rhoda J. Hawkins

To well understand crowd behavior, microscopic models have been developed in recent decades, in which an individual's behavioral/psychological status can be modeled and simulated. A well-known model is the social-force model innovated by…

Physics and Society · Physics 2026-05-29 Peng N. Wang

Discrete-time random walks and their extensions are common tools for analyzing animal movement data. In these analyses, resolution of temporal discretization is a critical feature. Ideally, a model both mirrors the relevant temporal scale…

Quantitative Methods · Quantitative Biology 2015-08-27 Ulrike E. Schlägel , Mark A. Lewis

We include alignment interactions in a well-studied first-order attractive-repulsive macroscopic model for aggregation. The distinctive feature of the extended model is that the equation that specifies the velocity in terms of the…

Analysis of PDEs · Mathematics 2016-06-22 Razvan C. Fetecau , Weiran Sun , Changhui Tan

Pedestrian crowds encompass a complex interplay of intentional movements aimed at reaching specific destinations, fluctuations due to personal and interpersonal variability, and interactions with each other and the environment. Previous…

Physics and Society · Physics 2025-03-10 Caspar A. S. Pouw , Geert G. M. van der Vleuten , Alessandro Corbetta , Federico Toschi

Pedestrian motion prediction is a fundamental task for autonomous robots and vehicles to operate safely. In recent years many complex approaches based on neural networks have been proposed to address this problem. In this work we show that…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Christoph Schöller , Vincent Aravantinos , Florian Lay , Alois Knoll
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