Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975nyasa.257..173l&link_type=abstract
(NORDITA and Niels Bohr Institute, Conference on the Role of Magnetic Fields in Physics and Astrophysics, Copenhagen, Denmark, J
Astronomy and Astrophysics
Astrophysics
1
Dynamo Theory, Helical Flow, Homogeneous Turbulence, Isotropic Turbulence, Magnetic Fields, Magnetohydrodynamic Flow, Cascade Flow, Energy Spectra, Kinetic Energy, Markov Processes, Nonlinear Equations
Scientific paper
The equations of fully nonlinear MHD turbulence are analyzed in the homogeneous isotropic case with helicity included in both the velocity and magnetic fields. A quasi-normal Markovianized eddy-damped approximation is used which leads to a closed set of coupled equations for the evolution of kinetic and magnetic energy spectra, the kinetic helicity spectrum, and the magnetic helicity spectrum. Phase mixing due to Alfven waves is examined along with the growth of large-scale magnetic fields under the influence of small-scale kinetic helicity (the alpha effect) and a 'beta effect' due to small-scale magnetic helicity. It is shown that the combination of alpha and beta effects will result in an inverse cascade of magnetic helicity.
Frisch Uriel
Leorat Jacques
Pouquet Annick
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