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Magnetic dynamo action in two-dimensional turbulent magneto-hydrodynamics

Published online by Cambridge University Press:  13 March 2009

David Fyfe ,
Glenn Joyce  and
David Montgomery
David Fyfe
Affiliation:
Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242
Glenn Joyce
Affiliation:
Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242
David Montgomery
Affiliation:
Advanced Study Program, National Center for Atmospheric Research, Boulder, Colorado 80303
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Abstract

Two-dimensional magnetohydrodynamic turbulence is explored by means of numerical simulation. Previous analytical theory, based on non-dissipative constants of the motion in a truncated Fourier representation, is verified by following the evolution of highly non-equilibrium initial conditions numerically. Dynamo action (conversion of a significant fraction of turbulent kinetic energy into long-wavelength magnetic field energy) is observed. It is conjectured that in the presence of dissipation and external forcing; a dual cascade will be observed for zero-helicity situations. Energy will cascade to higher wavenumbers simultaneously with a cascade of mean square vector potential to lower wavenumbers, leading to an omni-directional magnetic energy spectrum which varies as k-⅓ at lower wavenumbers, simultaneously with a build-up of magnetic excitation at the lowest wavenumber of the system. Equipartition of kinetic and magnetic energies is expected at the highest wavenumbers in the system.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 2 , April 1977 , pp. 317 - 335
Copyright
Copyright © Cambridge University Press 1977

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