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Scaling exponents are the central quantitative prediction of theories of turbulence and in-situ satellite observations of the high Reynolds number solar wind flow have provided an extensive testbed of these. We propose a general, instrument…

Solar and Stellar Astrophysics · Physics 2015-06-03 G. Gogoberidze , S. C. Chapman , B. Hnat , M. W. Dunlop

This paper examines the consistency of the exact scaling laws for isotropic MHD turbulence in numerical simulations with large magnetic Prandtl numbers Pm and with Pm=1. The exact laws are used to elucidate the structure of the magnetic and…

Astrophysics · Physics 2008-11-26 Tarek A. Yousef , Francois Rincon , Alexander A. Schekochihin

A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cross-helicity and the magnetic helicity as well as the…

Chaotic Dynamics · Physics 2015-05-13 T. Lessinnes , M. K. Verma , D. Carati

Three-dimensional direct numerical simulations (DNS) are implemented to investigate the energy cascade rate in compressible isothermal magnetohydrodynamic (MHD) turbulence. Utilizing an exact law derived from the K\'arm\'an-Howarth…

We derive the exact law for three-dimensional (3D) homogeneous compressible isothermal Hall magnetohydrodynamics (CHMHD) turbulence, without the assumption of isotropy. The Hall current is shown to introduce new flux and sources terms that…

Space Physics · Physics 2018-01-31 Nahuel Andrés , Sébastien Galtier , Fouad Sahraoui

Intermittency is an essential property of astrophysical fluids, which demonstrate an extended inertial range. As intermittency violates self-similarity of motions, it gets impossible to naively extrapolate the properties of fluid obtained…

Astrophysics · Physics 2011-05-10 A. Lazarian

Ensemble averaged high resolution direct numerical simulations of reverse spectral transfer are presented, extending on the many single realization numerical studies done up to now. This identifies this type of spectral transfer as a…

Fluid Dynamics · Physics 2014-11-06 Arjun Berera , Moritz Linkmann

We study energy dissipation and heating by supersonic MHD turbulence in molecular clouds using Athena, a new higher-order Godunov code. We analyze the dependence of the saturation amplitude, energy dissipation characteristics, power…

Astrophysics · Physics 2011-02-11 M. Nicole Lemaster , James M. Stone

In presence of an externally supported, mean magnetic field a turbulent, conducting medium, such as plasma, becomes anisotropic. This mean magnetic field, which is separate from the fluctuating, turbulent part of the magnetic field, has…

Plasma Physics · Physics 2018-12-07 Riddhi Bandyopadhyay , S. Oughton , M. Wan , W. H. Matthaeus , R. Chhiber , T. N. Parashar

Direct and large eddy simulations of hydrodynamic and hydromagnetic turbulence have been performed in an attempt to isolate artifacts from real and possibly asymptotic features in the energy spectra. It is shown that in a hydrodynamic…

Astrophysics · Physics 2007-05-23 N. E. L. Haugen , A. Brandenburg

We report the properties of a novel type of sub-proton scale magnetic hole found in two dimensional PIC simulations of decaying turbulence with a guide field. The simulations were performed with a realistic value for ion to electron mass…

Plasma Physics · Physics 2015-06-23 Christopher T. Haynes , David Burgess , Enrico Camporeale , Torbjorn Sundberg

We investigate the influence of a uniform magnetic field ${\bf B_0}=B_0 e//$ on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer reduction along $B_0$ is included in a model that distinguishes…

Fluid Dynamics · Physics 2009-11-13 Barbara Bigot , Sebastien Galtier , Helene Politano

A fluid system is derived to describe electrostatic magnetized plasma turbulence at scales somewhat larger than the Larmor radius of a given species. It is related to the Hasegawa- Mima equation, but does not conserve enstrophy, and, as a…

Plasma Physics · Physics 2020-09-09 G. G. Plunk

We derive the coarse-graining (CG) equations of incompressible Hall Magnetohydrodynamics (HMHD) turbulence to investigate the {\it local (in space)} energy cascade rate as a function of the filtering scale $\ell$. First, the CG equations…

Plasma Physics · Physics 2022-09-21 Davide Manzini , Fouad Sahraoui , Francesco Califano , Renaud Ferrand

Recent numerical and observational studies revealed that spectra of magnetic and velocity fluctuations in MHD turbulence have different scaling indexes. This intriguing feature has been recently explained in the case of weak MHD turbulence,…

Astrophysics of Galaxies · Physics 2012-02-17 Stanislav Boldyrev , Jean Carlos Perez , Yuxuan Wang

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

An exact analogy of electromagnetic fields and particles can be found in continuum mechanics of a turbulent perfect fluid with voids. Deviations of the turbulence from a homogeneous isotropic state correspond to electromagnetic fields: with…

General Physics · Physics 2022-03-02 Valery P. Dmitriyev

The scale locality of energy fluxes for magnetohydrodynamics (MHD) is investigated numerically for stationary states of turbulence. Two types of forces are used to drive turbulence, a kinetic force that acts only on the velocity field and a…

Fluid Dynamics · Physics 2015-05-30 B. Teaca , D. Carati , J. A. Domaradzki

We derive a new shell model of magnetohydrodynamic (MHD) turbulence in which the energy transfers are not necessary local. Like the original MHD equations, the model conserves the total energy, magnetic helicity, cross-helicity and volume…

Fluid Dynamics · Physics 2009-09-29 F. Plunian , R. Stepanov

This experimental study analyzes the relationship between the dimensionality of turbulence and the upscale or downscale nature of its energy transfers. We do so by forcing low-$Rm$ magnetohydrodynamic (MHD) turbulence in a confined channel,…

Fluid Dynamics · Physics 2018-06-12 N. T. Baker , A. Pothérat , L. Davoust , F. Debray