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

N KLEEORIN; I ROGACHEVSKII

doi:10.1007/978-94-011-0772-3_47

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

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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.

Original language	English
Title of host publication	The Cosmic Dynamo
Subtitle of host publication	Proceedings of the 157th Symposium of the International Astronomical Union, Held in Potsdam, Germany, September 7–11, 1992
Editors	F. Krause, K.-H. Rädler
Publisher	Springer, Dordrecht
Pages	255-261
ISBN (Electronic)	9789401107723
ISBN (Print)	9780792325475
DOIs	https://doi.org/10.1007/978-94-011-0772-3_47
State	Published - Oct 1993

Access to Document

10.1007/978-94-011-0772-3_47

Cite this

KLEEORIN, N., & ROGACHEVSKII, I. (1993). Inverse Energy Cascade in Advanced MHD Turbulence (The RNG Method). In F. Krause, & K.-H. Rädler (Eds.), The Cosmic Dynamo: Proceedings of the 157th Symposium of the International Astronomical Union, Held in Potsdam, Germany, September 7–11, 1992 (pp. 255-261). Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0772-3_47

@inbook{f41e47f2888a4432962c2479d32c06fd,

title = "Inverse Energy Cascade in Advanced MHD Turbulence (The RNG Method)",

abstract = "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.",

author = "N KLEEORIN and I ROGACHEVSKII",

year = "1993",

month = oct,

doi = "10.1007/978-94-011-0772-3\_47",

language = "English",

isbn = "9780792325475",

pages = "255--261",

editor = "Krause, \{F. \} and R{\"a}dler, \{K.-H. \}",

booktitle = "The Cosmic Dynamo",

publisher = "Springer, Dordrecht",

}

Inverse Energy Cascade in Advanced MHD Turbulence (The RNG Method). / KLEEORIN, N ; ROGACHEVSKII, I.
The Cosmic Dynamo: Proceedings of the 157th Symposium of the International Astronomical Union, Held in Potsdam, Germany, September 7–11, 1992. ed. / F. Krause; K.-H. Rädler. Springer, Dordrecht, 1993. p. 255-261.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Inverse Energy Cascade in Advanced MHD Turbulence (The RNG Method)

AU - KLEEORIN, N

AU - ROGACHEVSKII, I

PY - 1993/10

Y1 - 1993/10

N2 - 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.

AB - 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.

U2 - 10.1007/978-94-011-0772-3_47

DO - 10.1007/978-94-011-0772-3_47

M3 - Chapter

SN - 9780792325475

SP - 255

EP - 261

BT - The Cosmic Dynamo

A2 - Krause, F.

A2 - Rädler, K.-H.

PB - Springer, Dordrecht

ER -

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

Abstract

Access to Document

Fingerprint

Cite this