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We derive relations for the decay of the kinetic and magnetic energies and the growth of the Taylor and integral scales in unforced, incompressible, homogeneous and isotropic three-dimensional magnetohydrodynamic (3DMHD) turbulence with…

统计力学 · 物理学 2009-11-10 Chirag Kalelkar , Rahul Pandit

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…

等离子体物理 · 物理学 2018-12-07 Riddhi Bandyopadhyay , S. Oughton , M. Wan , W. H. Matthaeus , R. Chhiber , T. N. Parashar

We analyze the decay laws of the kinetic and magnetic energies and the evolution of correlation lengths in freely decaying incompressible magnetohydrodynamic (MHD) turbulence. Scale invariance of MHD equations assures that, in the case of…

天体物理学 · 物理学 2009-11-10 Leonardo Campanelli

We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green (TG) flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 2048^3…

流体动力学 · 物理学 2015-05-13 A. Pouquet , E. Lee , M. E. Brachet , P. D. Mininni , D. Rosenberg

Using computations of three-dimensional magnetohydrodynamic (MHD) turbulence with a Taylor-Green flow, whose inherent time-independent symmetries are implemented numerically, and in the absence of either a forcing function or an imposed…

流体动力学 · 物理学 2015-05-13 Ed Lee , M. E. Brachet , A. Pouquet , P. D. Mininni , D. Rosenberg

We present numerical studies of 3-dimensional electron magnetohydrodynamic (EMHD) turbulence. We investigate cascade timescale and anisotropy of freely decaying strong EMHD turbulence with zero electron skin depth. Cascade time scales with…

天体物理学 · 物理学 2009-11-10 Jungyeon Cho , A. Lazarian

Turbulence in an incompressible fluid with and without a magnetic field as well as moderately compressible MHD turbulence are compared. For the magnetohydrodynamic (MHD) models the probability distribution functions of the velocity…

天体物理学 · 物理学 2007-05-23 Nicholas Hall , G. Kowal , A. Lazarian , Jungyeon Cho

We present an analysis of data stemming from numerical simulations of decaying magnetohydrodynamic (MHD) turbulence up to grid resolution of 1536^3 points and up to Taylor Reynolds number of 1200. The initial conditions are such that the…

太阳与恒星天体物理 · 物理学 2015-05-13 P. D. Mininni , A. Pouquet

Direct numerical simulations of decaying and forced magnetohydrodynamic (MHD) turbulence without and with mean magnetic field are analyzed by higher-order two-point statistics. The turbulence exhibits statistical anisotropy with respect to…

等离子体物理 · 物理学 2009-11-10 Wolf-Christian Mueller , Dieter Biskamp , Roland Grappin

We perform direct 3-dimensional numerical simulations for magnetohydrodynamic (MHD) turbulence in a periodic box of size $2\pi$ threaded by strong uniform magnetic fields. We use a pseudo-spectral code with hyperviscosity and…

天体物理学 · 物理学 2009-10-31 Jungyeon Cho , Ethan T. Vishniac

When magnetohydrodynamic turbulence evolves in the presence of a large-scale mean magnetic field, an anisotropy develops relative to that preferred direction. The well-known tendency is to develop stronger gradients perpendicular to the…

等离子体物理 · 物理学 2020-07-15 Rohit Chhiber , William H. Matthaeus , Sean Oughton , Tulasi N. Parashar

We present a model for nonlinear decay of the weak wave in three-dimensional incompressible magnetohydrodynamic (MHD) turbulence. We show that the decay rate is different for parallel and perpendicular waves. We provide a general formula…

天体物理学 · 物理学 2010-11-11 Andrey Beresnyak , Alex Lazarian

We analyze 3D numerical simulations of driven incompressible magnetohydrodynamic (MHD) turbulence in a periodic box threaded by a moderately strong external magnetic field. We sum over nonlinear interactions within Fourier wavebands and…

天体物理学 · 物理学 2011-05-10 Jungyeon Cho , Alex Lazarian , Ethan Vishniac

We discuss a few recent developments that are important for understanding of MHD turbulence. First, MHD turbulence is not so messy as it is usually believed. In fact, the notion of strong non-linear coupling of compressible and…

天体物理学 · 物理学 2009-11-10 A. Lazarian , J. Cho

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…

流体动力学 · 物理学 2009-11-13 Barbara Bigot , Sebastien Galtier , Helene Politano

A heuristic model is given for anisotropic magnetohydrodynamics (MHD) turbulence in the presence of a uniform external magnetic field $B_0 {\bf {\hat e}_{\pa}}$. The model is valid for both moderate and strong $B_0$ and is able to describe…

等离子体物理 · 物理学 2009-11-11 Sebastien Galtier , Annick Pouquet , Andre Mangeney

This paper resolves the global regularity problem for the three-dimensional incompressible magnetohydrodynamics (MHD) equations in the upper half-space with slip boundary conditions, in the presence of a background magnetic field. Motivated…

偏微分方程分析 · 数学 2025-08-14 Jincheng Gao , Lianyun Peng , Jiahong Wu , Zheng-an Yao

One of the most important predictions in magnetohydrodynamics (MHD) is that in the presence of a uniform magnetic field $\textbf{b}_{0}$ a transition from weak to strong wave turbulence should occur when going from large to small…

流体动力学 · 物理学 2016-03-23 Romain Meyrand , Sebastien Galtier , Khurom H. Kiyani

Magnetic field fluctuations in MHD turbulence can be viewed as current sheets that are progressively more anisotropic at smaller scales. As suggested by Loureiro & Boldyrev (2017) and Mallet et al (2017), below a certain critical thickness…

等离子体物理 · 物理学 2017-08-09 Stanislav Boldyrev , Nuno F. Loureiro

We present a new analysis of the anisotropic spectral energy distribution in incompressible magnetohydrodynamic (MHD) turbulence permeated by a strong mean magnetic field. The turbulent flow is generated by high-resolution pseudo-spectral…

等离子体物理 · 物理学 2015-05-19 Roland Grappin , Wolf-Christian Müller
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