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Wave turbulence in quasi-1D geometry is usually not investigated experimentally since low-order resonant wave interactions are theoretically prohibited. Here, we report on the first observation of unidirectional capillary-wave turbulence on…

Fluid Dynamics · Physics 2021-10-05 Guillaume Ricard , Eric Falcon

We study experimentally the interaction of nonlinear internal waves in a stratified fluid confined in a trapezoidal tank. The set-up has been designed to produce internal wave turbulence from monochromatic and polychromatic forcing through…

Fluid Dynamics · Physics 2021-02-10 Géraldine Davis , Timothée Jamin , Julie Deleuze , Sylvain Joubaud , Thierry Dauxois

We study theoretically the capillary-gravity waves created at the water-air interface by a small object during a sudden accelerated or decelerated rectilinear motion. We analyze the wave resistance corresponding to the transient wave…

Fluid Dynamics · Physics 2015-05-18 Fabien Closa , Alexei Chepelianskii , Elie Raphael

We observe the dynamics of waves propagating on the surface of a ferrofluid under the influence of a spatially and temporarily modulated field. In particular, we excite plane waves by a travelling lamellar modulation of the magnetization.…

Other Condensed Matter · Physics 2009-11-13 A. Beetz , C. Gollwitzer , R. Richter , I. Rehberg

The turbulence of capillary waves on the surface of a ferrofluid with a high permeability in a horizontal magnetic field is considered in the framework of a one-dimensional weakly nonlinear model. In the limit of a strong magnetic field,…

Fluid Dynamics · Physics 2020-02-21 Evgeny A. Kochurin

The nonlinear three-wave interaction process at the heart of the parametric decay process is studied by launching counter-propagating Alfv\'en waves from antennas placed at either end of the Large Plasma Device (LAPD). A resonance in the…

Plasma Physics · Physics 2013-05-08 S. Dorfman , T. A. Carter

The nonlinear interaction of waves in PT-symmetric periodic stacks with an embedded nonlinear anisotropic dielectric layer illuminated by plane waves of two tones is examined. The three-wave interaction technique is applied to study the…

Optics · Physics 2015-10-20 Oksana V. Shramkova , Giorgos P. Tsironis

We revisit the problem of a triad of resonantly interacting nonlinear waves driven by an external force applied to the unstable mode of the triad. The equations are Hamiltonian, and can be reduced to a dynamical system for 5 real variables…

Chaotic Dynamics · Physics 2012-12-17 Jamie Harris , Miguel D. Bustamante , Colm Connaughton

Nonlinear dynamics of the free surface of finite depth non-conducting fluid with high dielectric constant subjected to a strong horizontal electric field is considered. Using the conformal transformation of the region occupied by the fluid…

Fluid Dynamics · Physics 2018-03-14 Evgeny A. Kochurin , Nikolay M. Zubarev

Direct numerical simulation of threedimensional chaotic motion of a dielectric liquid with a free surface under the action of external horizontal electric field is carried out. The numerical model takes into account the effects of surface…

Fluid Dynamics · Physics 2023-03-14 Igor A. Dmitriev , Evgeny A. Kochurin , Nikolay M. Zubarev

The Weak Turbulence Theory is a statistical framework to describe a large ensemble of nonlinearly interacting waves. The archetypal example of such system is the ocean surface that is made of interacting surface gravity waves. Here we…

It is generally accepted that the evolution of deep-water surface gravity wave spectrum is governed by quartet resonant and quasi-resonant interactions. However, it has also been reported in both experimental and computational studies that…

Fluid Dynamics · Physics 2025-04-09 Zhou Zhang , Yulin Pan

We extend a recently developed Hamiltonian formalism for nonlinear wave interaction processes in spatially periodic dielectric structures to the far-off-resonant regime, and investigate numerically the three-wave resonance conditions in a…

Wave resistance is the drag force associated to the emission of waves by a moving disturbance at a fluid free surface. In the case of capillary-gravity waves it undergoes a transition from zero to a finite value as the speed of the…

Fluid Dynamics · Physics 2007-05-23 J. Browaeys , J. -C. Bacri , R. Perzynski , M. I. Shliomis

In this letter, we provide an experimental demonstration of amplitude-dependent dispersion tuning of surface acoustic waves interacting with nonlinear resonators. Leveraging the similarity between the dispersion properties of plate edge…

Applied Physics · Physics 2023-09-06 Setare Hajarolasvadi , Paolo Celli , Brian L. Kim , Ahmed E. Elbanna , Chiara Daraio

The magnetic energy of nonlinear Alfven waves in compressible plasmas may be ponderomotively coupled only to ion-acoustic quasi-modes which modulate the wave phase velocity and cause wave-front steepening. In the collisionless plasma with…

Astrophysics · Physics 2009-10-31 M. V. Medvedev

By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time…

Atmospheric and Oceanic Physics · Physics 2011-01-04 V. E. Zakharov , A. O. Korotkevich , A. Pushkarev , D. Resio

The rising need for hybrid physical platforms has triggered a renewed interest for the development of agile radio-frequency phononic circuits with complex functionalities. The combination of travelling waves with resonant mechanical…

We discuss the impact of viscosity on nonlinear propagation of surface waves at the interface of air and a fluid of large depth. After a survey of the available approximations of the dispersion relation, we propose to modify the…

Fluid Dynamics · Physics 2018-12-18 Andrea Armaroli , Debbie Eeltink , Maura Brunetti , Jérôme Kasparian

We study the statistical properties of an ensemble of weak gravitational waves interacting nonlinearly in a flat space-time. We show that the resonant three-wave interactions are absent and develop a theory for four-wave interactions in a…

General Relativity and Quantum Cosmology · Physics 2017-12-06 S. Galtier , S. V. Nazarenko