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This article reviews recent developments in quantum fluid dynamics and quantum turbulence (QT) for superfluid helium and atomic Bose-Einstein condensates. Quantum turbulence was discovered in superfluid $^4$He in the 1950s, but the field…

Other Condensed Matter · Physics 2009-11-13 Makoto Tsubota

The probability density function (PDF) of accelerations in turbulence is derived analytically with the help of the multifractal analysis based on generalized entropy, i.e., the Tsallis or the R\'{e}nyi entropy. It is shown that the derived…

Statistical Mechanics · Physics 2007-05-23 T. Arimitsu , N. Arimitsu

We characterize the two-dimensionalization process in the turbulent flow produced by an impeller rotating at a rate $\omega$ in a fluid rotating at a rate $\Omega$ around the same axis for Rossby number $Ro=\omega/\Omega$ down to $10^{-2}$.…

Fluid Dynamics · Physics 2020-12-09 Nathanaël Machicoane , Frédéric Moisy , Pierre-Philippe Cortet

Quantum mechanical wave functions have phases. These phases either initial or acquired during time evolution usually do not enter the final expressions for observable physical quantities. Nevertheless in many cases the observable physical…

General Physics · Physics 2021-08-17 S. V. Gantsevich

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for…

High Energy Physics - Theory · Physics 2021-12-17 Mariya Iv. Trukhanova , Yuri N. Obukhov

Ferrofluids show unusual hydrodynamic effects due to the magnetic nature of their constituents. For increasing magnetization a classical ferrofluid undergoes a Rosensweig instability and creates self-organized ordered surface structures or…

We present laboratory experiments on turbulence in a linearly stratified fluid driven by an ensemble of internal gravity waves which approaches statistical homogeneity and axi-symmetry. In a way similar to several recent experimental works,…

Fluid Dynamics · Physics 2023-05-31 Nicolas Lanchon , Daniel Odens Mora , Eduardo Monsalve , Pierre-Philippe Cortet

This paper critically considers the main interpretations of the wave function and offers an interpretation in which wave function is a consequence of subquantum processes taking place at the level of the organization of matter which…

General Physics · Physics 2017-08-31 V. A. Skrebnev , M. V. Polski

We demonstrate that relativistic conformal hydrodynamics in 2+1 dimensions displays a turbulent behaviour which cascades energy to longer wavelengths on both flat and spherical manifolds. Our motivation for this study is to understand the…

High Energy Physics - Theory · Physics 2013-05-30 Federico Carrasco , Luis Lehner , Robert C. Myers , Oscar Reula , Ajay Singh

This is an overview article of the mathematics of gravitational waves. We explain the mathematics and physics of these waves in general relativity theory, discuss the gravitational wave experiment aLIGO and their detection of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Lydia Bieri , David Garfinkle , Nicolas Yunes

I briefly review some of the recent progress in quantum field theory in curved spacetime and other aspects of semiclassical gravity, as reported at the D3 Workshop at GR15.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

Finite-dimensional wave turbulence refers to the chaotic dynamics of interacting wave `clusters' consisting of finite number of connected wave triads with exact three-wave resonances. We examine this phenomenon using the example of…

Chaotic Dynamics · Physics 2010-01-03 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Oleksii Rudenko

An experimental study of long interfacial gravity waves was conducted in a closed wave tank containing two layers of viscous immiscible fluids. The study focuses on the development in time of the mean particle drift that occurs close to the…

In the last fifteen years, a great progress has been made in the understanding of the nonlinear resonance dynamics of water waves. Notions of scale- and angle-resonances have been introduced, new type of energy cascade due to nonlinear…

Exactly Solvable and Integrable Systems · Physics 2009-10-30 Elena Kartashova

I summarize the highlights of "Cosmic Flows: Towards an Understanding of the Large-scale Structure in the Universe", a workshop held in Victoria, Canada in July 1999.

Astrophysics · Physics 2007-05-23 Michael J. Hudson

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

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 present a general, model-independent, quantum statistical treatment of the connection between the quantum and hydrodynamical pictures of reservoir driven macroscopic systems. This treatment is centred on the large scale properties of…

Mathematical Physics · Physics 2007-10-08 Geoffrey Sewell

This article introduces a physically realistic model for explaining how electromagnetic waves can be internally generated, propagate and interact in strongly magnetized plasmas or in nuclear magnetic resonance experiments. It studies high…

Analysis of PDEs · Mathematics 2020-09-04 Remi Carles , Christophe Cheverry

Nonlinear dynamics of surface gravity waves trapped by an opposing jet current is studied analytically and numerically. For wave fields narrowband in frequency but not necessarily with narrow angular distributions the developed asymptotic…

Fluid Dynamics · Physics 2017-03-17 Victor Shrira , Alexey Slunyaev