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Renormalized reduced magnetohydrodynamics

 

作者: Robert G. Kleva,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1986)
卷期: Volume 29, issue 9  

页码: 2881-2892

 

ISSN:0031-9171

 

年代: 1986

 

DOI:10.1063/1.865488

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A renormalized reduced magnetohydrodynamics turbulence theory based upon the direct‐interaction approximation is presented. Importantly, the statistical equations derived conserve energy. The equations also properly contain the effects of magnetic shear. For stationary and homogeneous turbulence in a uniform mean magnetic field, the direct‐interaction approximation naturally separates into two parts: a coherent part that can be interpreted in terms of a frequency‐ and wavenumber‐dependent turbulent resistivity and viscosity, and an incoherent nonlinear mode coupling source term. In a two‐dimensional isotropic spectrum that is narrow in wavelength (the spread in wavenumber of the energy containing modes is small compared to the mean wavenumber), the plasma response at nearby wavelengths is characterized by a turbulent resistivity that depends only on the kinetic energy of the fluctuations, while the turbulent viscosity is negligible in comparison. At much shorter wavelengths the turbulent resistivity and viscosity are identical and both depend on the total energy in the fluctuations including the magnetic energy.

 

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