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This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

Analysis of PDEs · Mathematics 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

This work concerns the asymptotic analysis of high-frequency wave propagation in randomly layered media with fast variations and long-range correlations. The analysis takes place in the 3D physical space and weak-coupling regime. The role…

Mathematical Physics · Physics 2023-06-16 Christophe Gomez

We predict the development and propagation of the fluctuations in a perturbed ideally-expanded air jet. A non-propagating harmonic perturbation in the density, axial velocity, and pressure is introduced at the inflow with different…

Fluid Dynamics · Physics 2025-01-16 Osama A. Marzouk

We study excitation waves on a Newman-Watts small-world network model of coupled excitable elements. Depending on the global coupling strength, we find differing resilience to the added long-range links and different mechanisms of…

Pattern Formation and Solitons · Physics 2015-02-20 Thomas Isele , Eckehard Schöll

We study the simultaneous paraxial and white-noise limit of the Helmholtz equation in randomly layered media where the refractive index fluctuations are in the direction of propagation. We consider the regime in which the wavelength is of…

Numerical Analysis · Mathematics 2018-11-27 Austin McDaniel , Alex Mahalov

We study the spreading of correlations in the Bose-Hubbard chain, using the time-dependent matrix-product state approach. In both the superfluid and the Mott-insulator phases, we find that the time-dependent correlation functions generally…

Quantum Physics · Physics 2019-03-15 J. Despres , L. Villa , L. Sanchez-Palencia

Light propagation in all-dielectric rod-type metamaterials is studied theoretically. The electric and magnetic dipole moments of the rods are derived analytically in the long-wavelength limit. The effective permittivity and permeability of…

Optics · Physics 2009-11-13 K. Vynck , D. Felbacq , E. Centeno , A. I. Cabuz , D. Cassagne , B. Guizal

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

Classical Physics · Physics 2021-09-15 Farhang Loran , Ali Mostafazadeh

The propagation of weak gravitational waves on the background of dark energy is studied. The consideration is carried out within the framework of an approximate approach where the cosmological scale factor is expanded as a power series for…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihau , Jutta Kunz

We demonstrate experimentally that long-range intensity correlation for light propagating inside random photonic waveguides can be modified by changing the shape of the waveguide. The functional form of spatial correlation is no longer…

Optics · Physics 2017-03-30 Raktim Sarma , Alexey Yamilov , Pauf Neupane , Hui Cao

We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in \citeMS and leads, in particular, to an asymptotic travel time described in terms of a fractional Brownian…

Probability · Mathematics 2011-01-04 Renaud Marty , Knut Sølna

We illustrate properties of guided waves in terms of a superposition of body waves. In particular, we consider the Love and SH waves. Body-wave propagation at postcritical angles--required for a total reflection--results in the speed of the…

Classical Physics · Physics 2019-03-14 David R. Dalton , Michael A. Slawinski , Theodore Stanoev

Star-planet tidal interactions may result in the excitation of inertial waves in the convective region of stars. Their dissipation plays a prominent role in the long-term orbital evolution of short-period planets. If the star is assumed to…

Solar and Stellar Astrophysics · Physics 2014-10-14 M. Guenel , C. Baruteau , S. Mathis , M. Rieutord

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

Mathematical Physics · Physics 2021-09-03 Jean-Luc Akian , Éric Savin

It has been known that gravitational waves (GWs) transfer energy to viscous matter through which they propagate, but the effect is too weak to be astrophysically significant. Using linearized perturbations about a Minkowski background, we…

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

Numerical Analysis · Mathematics 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

We show that on electron scales a patch of the localized magnetic reconnection spreads bi-directionally in a wave like fashion when an external guide-magnetic field in the direction of the electron current is present. The spreading is…

Plasma Physics · Physics 2016-12-30 Neeraj Jain , Joerg Buechner

We study the unconventional transmission properties of a wave-packet through a PT-symmetric potential region, as describing actual electromagnetic wave propagation along a waveguide filled with gain and loss media. The non-trivial behavior…

Quantum Physics · Physics 2017-10-03 M. Di Mauro , S. Esposito , A. Naddeo

We investigate light propagation through materials with periodically modulated gain/loss profile in both transverse and longitudinal directions, i.e. in material with two-dimensional modulation in space. We predict effects of…

Optics · Physics 2008-11-27 K. Staliunas , R. Herrero , R. Vilaseca
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