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Inverse cascade of magnetic helicity in magnetohydrodynamic turbulence

Inverse cascade of magnetic helicity in magnetohydrodynamic turbulence
Inverse cascade of magnetic helicity in magnetohydrodynamic turbulence
The nonlinear dynamics of magnetic helicity HM, which is responsible for large-scale magnetic structure formation in electrically conducting turbulent media, is investigated in forced and decaying three-dimensional magnetohydrodynamic turbulence. This is done with the help of high-resolution direct numerical simulations and statistical closure theory. The numerically observed spectral scaling of HM is at variance with earlier work using a statistical closure model [ Pouquet et al. J. Fluid Mech. 77 321 (1976)]. By revisiting this theory, a universal dynamical balance relation is found that includes the effects of kinetic helicity as well as kinetic and magnetic energies on the inverse cascade of HM and explains the above-mentioned discrepancy. Consideration of the result in the context of mean-field dynamo theory suggests a nonlinear modification of the ?-dynamo effect, which is important in the context of magnetic-field excitation in turbulent plasmas
1539-3755
015302-[4pp]
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Malapaka, Shiva Kumar
9faab3da-d1a7-4374-a15d-37922f05a03b
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4
Müller, Wolf-Christian
8a91c36f-d4a0-406b-9006-c75b111dcf82
Malapaka, Shiva Kumar
9faab3da-d1a7-4374-a15d-37922f05a03b
Busse, Angela
0430b320-341b-4c73-9cb5-f35632d562a4

Müller, Wolf-Christian, Malapaka, Shiva Kumar and Busse, Angela (2012) Inverse cascade of magnetic helicity in magnetohydrodynamic turbulence. Physical Review E, 85 (1), 015302-[4pp]. (doi:10.1103/PhysRevE.85.015302).

Record type: Article

Abstract

The nonlinear dynamics of magnetic helicity HM, which is responsible for large-scale magnetic structure formation in electrically conducting turbulent media, is investigated in forced and decaying three-dimensional magnetohydrodynamic turbulence. This is done with the help of high-resolution direct numerical simulations and statistical closure theory. The numerically observed spectral scaling of HM is at variance with earlier work using a statistical closure model [ Pouquet et al. J. Fluid Mech. 77 321 (1976)]. By revisiting this theory, a universal dynamical balance relation is found that includes the effects of kinetic helicity as well as kinetic and magnetic energies on the inverse cascade of HM and explains the above-mentioned discrepancy. Consideration of the result in the context of mean-field dynamo theory suggests a nonlinear modification of the ?-dynamo effect, which is important in the context of magnetic-field excitation in turbulent plasmas

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Published date: 2012
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 342446
URI: http://eprints.soton.ac.uk/id/eprint/342446
ISSN: 1539-3755
PURE UUID: 800f1c46-3319-48d6-a9cb-29be6e8e438c

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Date deposited: 30 Aug 2012 08:22
Last modified: 14 Mar 2024 11:51

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Contributors

Author: Wolf-Christian Müller
Author: Shiva Kumar Malapaka
Author: Angela Busse

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