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The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics…

High Energy Physics - Theory · Physics 2010-10-27 William Nelson , Joseph Ochoa , Mairi Sakellariadou

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic…

General Relativity and Quantum Cosmology · Physics 2012-08-13 Lorenzo De Vittori , Philippe Jetzer , Antoine Klein

We present both, theory and an algorithm for solving time-harmonic wave problems in a general setting. The time-harmonic solutions will be achieved by computing time-periodic solutions of the original wave equations. Thus, an exact…

Analysis of PDEs · Mathematics 2011-05-23 Dirk Pauly , Tuomo Rossi

In this work, direct numerical simulations of the compressible fluid equations in turbulent regimes are performed. The behavior of the flow is either dominated by purely turbulent phenomena or by the generation of sound waves in it.…

Fluid Dynamics · Physics 2018-10-29 J. Cerretani , P. Dmitruk

The Hamiltonian formulation of the water wave problem due to Zakharov, and the reduced Zakharov equation derived therefrom, have great utility in understanding and modelling water waves. Here we set out to review the cubic Zakharov equation…

Fluid Dynamics · Physics 2026-03-12 Raphael Stuhlmeier

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2009-06-29 Ivana Bochicchio , Mariafelicia De Laurentis , Ettore Laserra

A wave turbulence theory is developed for inertial electron magnetohydrodynamics (IEMHD) in the presence of a relatively strong and uniform external magnetic field $\boldsymbol{B_0} = B_0 \hat{\boldsymbol{e}}_\|$. This regime is relevant…

Plasma Physics · Physics 2022-10-26 Vincent David , Sébastien Galtier

We show that the coupled two-fluid gravitating system (e.g. stiff matter and 'vacuum energy') could trap nonlinear gravitational waves (e.g. Einstein-Rosen waves). The gravitational wave amplitude varies harmonically in time transferring…

General Relativity and Quantum Cosmology · Physics 2009-12-08 Merab Gogberashvili , Ramaz Khomeriki

We introduce a novel method to compute gravitational wave amplitudes within the framework of effective field theory. By reinterpreting the Feynman diagram expansion as a Born series, our method offers several key advantages. It directly…

High Energy Physics - Theory · Physics 2025-03-19 Simon Caron-Huot , Miguel Correia , Giulia Isabella , Mikhail Solon

Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance is strong enough to uniquely determine the structure of the…

High Energy Physics - Theory · Physics 2015-06-12 Herbert W. Hamber , Reiko Toriumi , Ruth M. Williams

The kinetic wave equation arises in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schroedinger equation. The equation has two Kolmogorov-Zakharov steady states corresponding to out-of-equilibrium cascades…

Analysis of PDEs · Mathematics 2022-09-13 Charles Collot , Helge Dietert , Pierre Germain

We perform numerical simulations of gravitational waves (GWs) induced by hydrodynamic and hydromagnetic turbulent sources that might have been present at cosmological quantum chromodynamic (QCD) phase transitions. For turbulent energies of…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-17 Axel Brandenburg , Emma Clarke , Yutong He , Tina Kahniashvili

There is a growing interest in the relation between classical turbulence and quantum turbulence. Classical turbulence arises from complicated dynamics of eddies in a classical fluid. In contrast, quantum turbulence consists of a tangle of…

Other Condensed Matter · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

Turbulence, ubiquitous in nature and across various systems, exhibits chaotic and intermittent fluctuations in space and time, defying precise prediction. For nearly a century, extensive efforts have been made to uncover the underlying…

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

Plane gravitational waves can admit a sixth `screw' isometry beyond the usual five. The same is true of plane electromagnetic waves. From the point of view of integrable systems, a sixth isometry would appear to over-constrain particle…

General Relativity and Quantum Cosmology · Physics 2018-05-09 A. Ilderton

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

We show theoretically that the mean turbulent dynamics can be described by a kinetic theory representation with a single free relaxation time that depends on space and time. A proper kinetic equation is constructed from averaging the…

Fluid Dynamics · Physics 2024-01-31 Hudong Chen , Ilya Staroselsky , Katepalli R. Sreenivasan , V. Yakhot

Three bodies moving in a periodic orbit under the influence of Newtonian gravity ought to emit gravitational waves. We have calculated the gravitational radiation quadrupolar waveforms and the corresponding luminosities for the 13+11…

General Relativity and Quantum Cosmology · Physics 2015-01-15 V. Dmitrašinović , Milovan Šuvakov , Ana Hudomal