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In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the scaling of the spectra with wavenumber $k$ and…

Fluid Dynamics · Physics 2023-06-22 Zhou Zhang , Yulin Pan

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

We consider a generic dispersive massive gravity theory and numerically study its resulting modified energy and strain spectra of tensor gravitational waves (GWs) sourced by (i) fully developed turbulence during the electroweak phase…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Yutong He , Axel Brandenburg , Aditya Sinha

The evolution of scale-invariant gravity waves from the early universe is analyzed using an equation of state which smoothly interpolates between the radiation dominated era and the present matter dominated era. We find that for large…

Astrophysics · Physics 2009-10-22 K. -W. Ng , A. D. Speliotopoulos

Wave turbulence is by nature a multiple time scale problem for which there is a natural asymptotic closure. The main result of this analytical theory is the kinetic equation that describes the long-time statistical behaviour of such…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Benoît Gay , Sébastien Galtier

The recent observation of gravitational waves, stimulates the question of the longtime evolution of the space-time fluctuations. Gravitational waves interact themselves through the nonlinear character of Einstein's equations of general…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Sergio Rica

The kinetic equation for a gravity wave spectrum is solved numerically to study the high frequencies asymptotes for the one-dimensional nonlinear energy transfer and the variability of spectrum parameters that accompany the long-term…

Atmospheric and Oceanic Physics · Physics 2018-05-11 Vladislav G. Polnikov , Fangli Qiao , Yong Teng

We experimentally study the role of the forcing on gravity-capillary wave turbulence. Previous laboratory experiments using spatially localized forcing (vibrating blades) have shown that the frequency power-law exponent of the gravity wave…

Fluid Dynamics · Physics 2015-06-12 Bruno Issenmann , Eric Falcon

Fast magnetosonic waves are among the fundamental oscillation modes of astrophysical plasmas. To study their dynamics, we carry out numerical simulations of the wave turbulence kinetic equation, which describes the evolution of the energy…

Plasma Physics · Physics 2026-05-22 Nicolás Pablo Müller , Sébastien Galtier

The wave kinetic equation has become an important tool in different fields of physics. In particular, for surface gravity waves, it is the backbone of wave forecasting models. Its derivation is based on the Hamiltonian dynamics of surface…

Chaotic Dynamics · Physics 2025-03-10 Davide Maestrini , Daniele Noto , Giovanni Dematteis , Miguel Onorato

Gravitational waves (GWs) generated by a first-order phase transition at the electroweak scale are detectable by future space-based detectors like LISA. The lifetime of the resulting shock waves plays an important role in determining the…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jani Dahl , Mark Hindmarsh , Kari Rummukainen , David Weir

We undertake a careful analysis of stochastic gravitational wave production from cosmological phase transitions in an expanding universe, studying both a standard radiation as well as a matter dominated history. We analyze in detail the…

High Energy Physics - Phenomenology · Physics 2021-01-07 Huai-Ke Guo , Kuver Sinha , Daniel Vagie , Graham White

We consider the kinematic stage of evolution of magnetic field advected by turbulent hydrodynamic flow. We use a generalization of the Kazantsev-Kraichnan model to investigate time irreversible flows. In the viscous range of scales, the…

Fluid Dynamics · Physics 2023-10-26 A. V. Kopyev , A. S. Il'yn , V. A. Sirota , K. P. Zybin

We study the propagation of cosmological gravitational wave (GW) backgrounds from the early radiation era until the present day in modified theories of gravity. Comparing to general relativity (GR), we study the effects that modified…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Yutong He , Alberto Roper Pol , Axel Brandenburg

In a modified gravity theory, the propagation equation of gravitational waves will be presented in a non-standard way. Therefore this tenor mode perturbation of time-space, as a complement to the scalar mode perturbation, provides a unique…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Lixin Xu

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

Fluid Dynamics · Physics 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

It is well known that wave collapses can emerge from the focusing one-dimensional (1-D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how these wave collapses affect the spectral properties and…

Pattern Formation and Solitons · Physics 2024-02-29 Ashleigh Simonis , Yulin Pan

We investigate the evolution of gravitational waves through discontinuous evolution (transition) of the Hubble expansion rate $H(z)$ at a sudden cosmological singularity, which may be due to a transition of the value of the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-04 Evangelos Achilleas Paraskevas , Leandros Perivolaropoulos
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