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In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

Many materials, processes, and structures in science and engineering have important features at multiple scales of time and/or space; examples include biological tissues, active matter, oceans, networks, and images. Explicitly extracting,…

Fluid Dynamics · Physics 2021-01-12 Daniel Floryan , Michael D. Graham

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

A collection of thin structures buckle, bend, and bump into each-other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will…

Soft Condensed Matter · Physics 2023-04-19 Arman Guerra , Anja Slim , Douglas P. Holmes , Ousmane Kodio

Pedestrian behavior has much more complicated characteristics in a dense crowd and thus attracts the widespread interest of scientists and engineers. However, even successful modeling approaches such as pedestrian models based on particle…

Multiagent Systems · Computer Science 2014-04-11 Qi Xu , Baohua Mao , Xujie Feng , Jia Feng

In recent years, tremendous progress has been made in understanding the dynamics of vehicle traffic flow and traffic congestion by interpreting traffic as a multi-particle system. This helps to explain the onset and persistence of many…

Networking and Internet Architecture · Computer Science 2010-05-06 Sándor P. Fekete , Christiane Schmidt , Axel Wegener , Horst Hellbrück , Stefan Fischer

This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-organized patterns from non-locality and anisotropy of the…

Mathematical Physics · Physics 2010-09-07 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

The dynamics of city's spatial structures are determined by the coupling of functional components (such as restaurants and shops) and human beings within the city. Yet, there still lacks mechanism models to quantify the spatial distribution…

Motion serves as a powerful cue for scene perception and understanding by separating independently moving surfaces and organizing the physical world into distinct entities. We introduce SIRE, a self-supervised method for motion discovery of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Cameron Smith , Basile Van Hoorick , Vitor Guizilini , Yue Wang

Through a series of experiments, we provide evidence that the GraphDOP model - trained solely on meteorological observations, using no prior knowledge - develops internal representations of the Earth System state, structure and dynamics as…

Atmospheric and Oceanic Physics · Physics 2025-08-26 Peter Lean , Mihai Alexe , Eulalie Boucher , Ewan Pinnington , Simon Lang , Patrick Laloyaux , Niels Bormann , Anthony McNally

Fully developed turbulence is a universal and scale-invariant chaotic state characterized by an energy cascade from large to small scales where the cascade is eventually arrested by dissipation. In this article, we show how to harness these…

Soft Condensed Matter · Physics 2024-04-09 Xander M. de Wit , Michel Fruchart , Tali Khain , Federico Toschi , Vincenzo Vitelli

To comprehend the multipartite organization of large-scale biological and social systems, we introduce a new information theoretic approach that reveals community structure in weighted and directed networks. The method decomposes a network…

Physics and Society · Physics 2008-02-13 M. Rosvall , C. T. Bergstrom

We consider a phase-separating mixture of active and passive fluids and explore morphological asymmetries of the emerging dominantly bicontinous dynamic emulsion. Two-dimensional numerical simulations reveal that the geometric and…

Soft Condensed Matter · Physics 2026-01-22 Rainer Backofen , Axel Voigt

Dense suspensions of deformable particles can exhibit rich nonequilibrium dynamics arising from complex flow-structure coupling. Using a multi-phase field model, we show that steady shear drives an initially disordered, dense, soft…

Soft Condensed Matter · Physics 2026-02-10 Ioannis Hadjifrangiskou , Rahil N. Valani , Diogo E. P. Pinto

Random organizing hyperuniform fluid induced by reciprocal activation is a non-equilibrium fluid with vanishing density fluctuations at large length scales like crystals. Here we extend this new state of matter to a closed manifold, namely…

Soft Condensed Matter · Physics 2023-08-09 Yusheng Lei , Ning Zheng , Ran Ni

The surface curvature of membranes, interfaces, and substrates plays a crucial role in shaping the self-assembly of particles adsorbed on these surfaces. However, little is known about the interplay between particle anisotropy and surface…

Soft Condensed Matter · Physics 2025-10-30 Gautam Bordia , Thomas P. Russell , Ahmad K. Omar

Landscapes that are rhythmically dissected by natural drainage channels exist in various geologic and climatic settings. Such landscapes are characterized by a length-scale for the lateral spacing between channels. We observe a small-scale…

Pattern Formation and Solitons · Physics 2009-11-10 Norbert Schorghofer , Bill Jensen , Arshad Kudrolli , Daniel H. Rothman

The formation of precipitation in state-of-the-art weather and climate models is an important process. The understanding of its relationship with other variables can lead to endless benefits, particularly for the world's monsoon regions…

Atmospheric and Oceanic Physics · Physics 2021-08-25 Manmeet Singh , Bipin Kumar , Suryachandra Rao , Sukhpal Singh Gill , Rajib Chattopadhyay , Ravi S Nanjundiah , Dev Niyogi

Driven by access to large volumes of movement data, the study of human mobility has grown rapidly over the past decades. The field has shown that human mobility is scale-free, proposed models to generate scale-free moving distance…

Physics and Society · Physics 2025-07-17 Louis Boucherie , Benjamin F. Maier , Sune Lehmann
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