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We study several basic dispersive models with random periodic initial data such that the different Fourier modes are independent random variables. Motivated by the vast Physics literature on related topics, we then study how much the…

Analysis of PDEs · Mathematics 2013-04-26 Anne-Sophie de Suzzoni , Nikolay Tzvetkov

Long duration noisy-looking waveforms such as those obtained in randomly multiply scattering and reverberant media are complex; they resist direct interpretation. Nevertheless, such waveforms are sensitive to small changes in the source of…

Geophysics · Physics 2015-05-27 Richard L Weaver , Céline Hadziioannou , Eric Larose , Michel Campillo

In this paper, we study univariate and planar random motions with variable propagation speeds. We first consider motions with space-varying velocity, which can be reduced to constant-velocity motions by means of suitable nonlinear…

Probability · Mathematics 2026-01-27 Manfred Marvin Marchione , Enzo Orsingher

We describe an experiment involving a mass oscillating in a viscous fluid and analyze viscous damping of harmonic motion. The mechanical oscillator is tracked using a simple webcam and an image processing algorithm records the position of…

Physics Education · Physics 2015-05-28 Sohaib Shamim , Wasif Zia , Muhammad Sabieh Anwar

We use video microscopy to study a two-dimensional (2D) model fluid of charged colloidal particles suspended in water and compute the pressure from the measured particle configurations. Direct experimental control over the particle density…

Soft Condensed Matter · Physics 2009-11-10 M. Brunner , C. Bechinger , U. Herz , H. H. von Grunberg

We study the heterogeneous dynamics of attractive colloidal particles close to the gel transition using confocal microscopy experiments combined with a theoretical statistical analysis. We focus on single particle dynamics and show that the…

Soft Condensed Matter · Physics 2009-08-25 Pinaki Chaudhuri , Yongxiang Gao , Ludovic Berthier , Maria Kilfoil , Walter Kob

For the classical reaction diffusion equation, the priori speed of fronts is determined exactly in the pioneering paper (R.D. Benguria and M.C. Depassier, {\em Commun. Math. Phys.} 175:221--227, 1996) by variational characterization method.…

Analysis of PDEs · Mathematics 2020-06-24 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

We introduce a temporal scheme for data sampling, based on a variable delay between two successive data acquisitions. The scheme is designed so as to reduce the average data flow rate, while still retaining the information on the data…

Soft Condensed Matter · Physics 2016-08-06 A. Philippe , S. Aime , V. Roger , R. Jelinek , G. Prévot , L. Berthier , L. Cipelletti

We construct a theoretical model for the dynamics of a microscale colloidal particle, modeled as an interval, moving horizontally on a DNA-coated surface, modelled as a line coated with springs that can stick to the interval. Averaging over…

Soft Condensed Matter · Physics 2018-09-28 James P. Lee-Thorp , Miranda Holmes-Cerfon

The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of…

Chaotic Dynamics · Physics 2011-07-13 Nicolas Mordant

We propose an alternative micromagnetic approach to determine the spin wave dispersion relations in magnonic structures. Characteristic of the method is that a limited area of the system is continuously excited with a spatially uniform…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Ben Van de Wiele , Federico Montoncello

We used x-ray photon correlation spectroscopy to study the dynamics in the lamellar phase of a platelet suspension as a function of the particle concentration. We measured the collective diffusion coefficient along the director of the…

Soft Condensed Matter · Physics 2015-04-07 Doru Constantin , Patrick Davidson , Éric Freyssingeas , Anders Madsen

We use an extended laser Doppler technique to track optically the velocity of individual particles in a high Reynolds number turbulent flow. The particle sizes are of the order of the Kolmogorov scale and the time resolution, 30…

Fluid Dynamics · Physics 2009-11-13 Romain Volk , Nicolas Mordant , Gautier Verhille , Jean-François Pinton

We discuss in two companion papers (arXiv:1802.03737 and the present manuscript) how Fourier-space measurements may be coupled to rheological tests in order to elucidate the relationship between mechanical properties and microscopic…

Soft Condensed Matter · Physics 2018-07-31 Stefano Aime , Luca Cipelletti

Vector filters based on order-statistics have proved successful in removing impulsive noise from color images while preserving edges and fine image details. Among these filters, the ones that involve the cosine distance function…

Computer Vision and Pattern Recognition · Computer Science 2010-09-07 M. Emre Celebi

We develop a dynamical density functional theory based model for the drying of colloidal films on planar surfaces. We consider mixtures of two different sizes of hard-sphere colloids. Depending on the solvent evaporation rate and the…

Soft Condensed Matter · Physics 2021-01-28 Boshen He , Ignacio Martin-Fabiani , Roland Roth , Gyula I. Tóth , Andrew J. Archer

Some optical measurements require relative timing of intensity variations with accuracy much finer than the camera frame period. One motivating example is dynamic aurora, where different prompt emissions are expected to originate from…

Space Physics · Physics 2026-05-29 Juha Vierinen , Pavithiran Sivasothy , Björn Gustavsson

We review briefly the concept of colloidal dispersions, their general properties and some of their most important applications, as well as the basic molecular interactions that give rise to their properties in equilibrium. Similarly, we…

Soft Condensed Matter · Physics 2015-09-28 R. Lopez-Esparza , M. A. Balderas Altamirano , E. Pérez , A. Gama Goicochea

Colloidal particles that are confined to an interface effectively form a two-dimensional fluid. We examine the dynamics of such colloids when they are subject to a constant external force, which drives them in a particular direction over…

Soft Condensed Matter · Physics 2011-06-24 Andrew J. Archer , Alexandr Malijevsky