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Inverse Energy Cascade in Advanced MHD Turbulence (the RNG Method)

Published online by Cambridge University Press:  19 July 2016

N. Kleeorin  and
I. Rogachevskii
N. Kleeorin
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of Negev, POB 653, 84105 Beer-Sheva, Israel
I. Rogachevskii
Affiliation:
Racah Institute of Physics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel

Abstract

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The nonlinear (in terms of the large-scale magnetic field) effect of the modification of the magnetic force by an advanced small-scale magnetohydrodynamic (MHD) turbulence is considered. The phenomenon is due to the generation of magnetic fluctuations at the expense of hydrodynamic pulsations. It results in a decrease of the elasticity of the large-scale magnetic field.

The renormalization group (RNG) method was employed for the investigation of the MHD turbulence at the large magnetic Reynolds number. It was found that the level of the magnetic fluctuations can exceed that obtained from the equipartition assumption due to the inverse energy cascade in advanced MHD turbulence.

This effect can excite an instability of the large-scale magnetic field due to the energy transfer from the small-scale turbulent pulsations. This instability is an example of the inverse energy cascade in advanced MHD turbulence. It may act as a mechanism for the large-scale magnetic ropes formation in the solar convective zone and spiral galaxies.

Type
6. General Aspects of Dynamo Theory
Information
Symposium - International Astronomical Union , Volume 157: The Cosmic Dynamo , 1993 , pp. 255 - 261
Copyright
Copyright © Kluwer 1993 

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