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We revisit and clarify the gauge dependence of gravitational waves generated at second order from scalar perturbations. In a universe dominated by a perfect fluid with a constant equation-of-state parameter $w$, we compute the energy…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Keitaro Tomikawa , Tsutomu Kobayashi

The comprehension of stratified flows is important for geophysical and astrophysical applications. The Weak Wave Turbulence theory aims to provide a statistical description of internal gravity waves propagating in the bulk of such flows.…

Fluid Dynamics · Physics 2024-02-21 Vincent Labarre , Pierre Augier , Giorgio Krstulovic , Sergey Nazarenko

A stochastic gravitational wave background causes the apparent positions of distant sources to fluctuate, with angular deflections of order the characteristic strain amplitude of the gravitational waves. These fluctuations may be detectable…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-28 Laura G. Book , Éanna É. Flanagan

Understanding the non-local pressure contributions and viscous effects on the small-scale statistics remains one of the central challenges in the study of homogeneous isotropic turbulence. Here we address this issue by studying the impact…

Fluid Dynamics · Physics 2014-09-03 Michael Wilczek , Charles Meneveau

We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing statistics of weakly nonlinear waves in the infinite basin…

Mathematical Physics · Physics 2009-11-11 Yuri V. Lvov , Sergey Nazarenko , Boris Pokorni

Although gravitational waves are now routinely observed, the detection of individual gravitons has long been regarded as impossible. Recent work, however, has demonstrated that single-graviton detection can be achieved and may be feasible…

Quantum Physics · Physics 2026-02-11 Kristian Toccacelo , Thomas Beitel , Ulrik Lund Andersen , Igor Pikovski

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

Mathematical Physics · Physics 2024-07-09 Josselin Garnier , Basant Lal Sharma

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

Classical Physics · Physics 2023-09-18 Basant Lal Sharma

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

We investigate the properties of relative dispersion of Lagrangian particles in a global-ocean simulation resolving both inertia-gravity waves (IGW) and meso and submesoscale (M/SM) turbulence. More specifically, we test if the dispersion…

The refraction of surface gravity waves by currents leads to spatial modulations in the wave field and, in particular, in the significant wave height. We examine this phenomenon in the case of waves scattered by a localised current feature,…

Fluid Dynamics · Physics 2023-11-13 Han Wang , Ana B. Villas Bôas , William R. Young , Jacques Vanneste

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

The classical statistics of turbulence are shown to be not specific to turbulence and can be derived from a solution for recurring unsteady state viscous flow. Care must be exercised in using them to make deductions about turbulence…

Fluid Dynamics · Physics 2010-01-14 Trinh Khanh Tuoc

A population of compact object binaries emitting gravitational waves that are not individually resolvable will form a stochastic gravitational wave signal. While the expected spectrum over population realizations is well known from Phinney…

General Relativity and Quantum Cosmology · Physics 2024-08-06 William G. Lamb , Stephen R. Taylor

The modeling of surface pressure wave number spectra beneath a turbulent boundary layer is reviewed and reconsidered in terms of the vorticity in the flow. Using a solution based on the vorticity equation and Squires theorem, which was…

Fluid Dynamics · Physics 2022-08-11 Stewart Glegg , Siddhartha Verma , Lyubov Denissova

We introduce a numerical strategy to study the evolution of 2D water waves in the presence of a plunging jet. The free-surface Navier-Stokes solution is obtained with a finite but small viscosity. We observe the formation of a surface…

Fluid Dynamics · Physics 2024-05-01 Alan Riquier , Emmanuel Dormy

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov

We study gravitational waves (GWs) induced by non-Gaussian curvature perturbations. We calculate the density parameter per logarithmic frequency interval, $\Omega_\text{GW}(k)$, given that the power spectrum of the curvature perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-29 Rong-gen Cai , Shi Pi , Misao Sasaki

This study investigates nonlinear gravity waves in the compressible atmosphere from the Earth's surface to the deep atmosphere. These waves are effectively described by Grimshaw's dissipative modulation equations which provide the basis for…

Atmospheric and Oceanic Physics · Physics 2020-04-27 Mark Schlutow , Erik Wahlén

Because of physical processes ranging from microscopic particle collisions to macroscopic hydrodynamic fluctuations, any plasma in thermal equilibrium emits gravitational waves. For the largest wavelengths the emission rate is proportional…

High Energy Physics - Phenomenology · Physics 2015-08-06 J. Ghiglieri , M. Laine