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We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

The main topic of this paper is the analysis and modeling of stop-and-go waves, observable in experiments of single lane movement with pedestrians. The velocity density relation using measurements on a 'microscopic' scale shows the…

Physics and Society · Physics 2010-03-30 Andrea Portz , Armin Seyfried

Weak Wave Turbulence is a powerful theory to predict statistical observables of diverse relevant physical phenomena, such as ocean waves, magnetohydrodynamics and nonlinear optics. The theory is based upon an asymptotic closure permitted in…

Statistical Mechanics · Physics 2016-07-13 Sergio Chibbaro , Christophe Josserand

The principles of statistical mechanics and information theory play an important role in learning and have inspired both theory and the design of numerous machine learning algorithms. The new aspect in this paper is a focus on integrating…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Susanne Still

In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind…

Fluid Dynamics · Physics 2023-05-02 Etienne Mémin , Long Li , Noé Lahaye , Gilles Tissot , Bertrand Chapron

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

Machine Learning · Statistics 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

In the turbulence modeling community, significant efforts have been made to quantify the uncertainties in the Reynolds-Averaged Navier--Stokes (RANS) models and to improve their predictive capabilities. Of crucial importance in these…

Fluid Dynamics · Physics 2017-10-11 Heng Xiao , Jin-Long Wu , Jian-xun Wang , Eric G. Paterson

Wind-generated waves are often treated as stochastic processes. There is particular interest in their spectral density functions, which are often expressed in some parametric form. Such spectral density functions are used as inputs when…

Applications · Statistics 2021-03-26 Jake P. Grainger , Adam M. Sykulski , Philip Jonathan , Kevin Ewans

Some data of the drift current, Ud, measured on a wavy surface of water in a laboratory and the field, are briefly described. Empirical formulas for Ud are given, and their incompleteness is noted, regarding to absence of the drift current…

Atmospheric and Oceanic Physics · Physics 2019-06-26 Vladislav G. Polnikov

Several methods have been proposed to characterize the complex interactions in turbulent wakes, especially for flows with strong cyclic dynamics. This paper introduces the concept of Fourier-Averaged Navier-Stokes (FANS) equations as a…

Fluid Dynamics · Physics 2024-01-25 Benjamin R. S. Freeman , Robert J. Martinuzzi , Arman Hemmati

A new formalism for electromagnetic and mechanical momenta in a metamaterial is developed by means of the technique of wave-packet integrals. The medium has huge mass density and can therefore be regarded as almost stationary upon incident…

Optics · Physics 2011-03-22 Yingran He , Jianqi Shen , Sailing He

The boundaries between physical and social networks have narrowed with the advent of the Internet and its pervasive platforms. This has given rise to a complex adaptive information ecosystem where individuals and machines compete for…

Many multi-agent systems evolve by repeatedly updating each state to a weighted average of its neighbors, a process known as averaging dynamics, whose behavior becomes difficult to analyze when the interaction network varies over time. In…

Optimization and Control · Mathematics 2026-02-24 Bernard Chazelle , Kritkorn Karntikoon

Stochastic versions of a classical model for natural ventilation are proposed and investigated to demonstrate the effect of random fluctuations on stability and predictability. In a stochastic context, the well-known deterministic result…

Fluid Dynamics · Physics 2023-08-17 Veronica Andrian , John Craske

Statistical physics has proven to be a very fruitful framework to describe phenomena outside the realm of traditional physics. The last years have witnessed the attempt by physicists to study collective phenomena emerging from the…

Physics and Society · Physics 2009-05-11 Claudio Castellano , Santo Fortunato , Vittorio Loreto

Classical Electrodynamics in ponderable media remains defined by a century-long debate over force and energy localization. While the prevailing view treats competing formulations (Minkowski, Abraham, etc.) as equivalent conventions, this…

Classical Physics · Physics 2026-02-05 Bela Schulte Westhoff

A challenge in global change biology is to predict how species will respond to future environmental change and to manage these responses. To make such predictions and management actions robust to novel futures, we need to accurately…

While a theoretical limit has long been established for the performance of a single turbine, no corresponding upper bound exists for the power output from a large wind farm, making it difficult to evaluate the available potential for…

Fluid Dynamics · Physics 2018-09-19 Paolo Luzzatto-Fegiz , Colm-cille P. Caulfield

To develop a better understanding of energy transfer between wind and different types of waves a model was created to determine growth factors and energy transfers on breaking waves and the resulting velocity vectors. This model was used to…

Atmospheric and Oceanic Physics · Physics 2017-04-18 Mason Bray , Sharhdad G. Sajjadi

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler