Galtier, S., Nazarenko, Sergey, Newell, Alan C. and Pouquet, A. (2000) A weak turbulence theory for incompressible magnetohydrodynamics. Journal of Plasma Physics, Vol.63 (No.5). pp. 447-488. doi:10.1017/S0022377899008284 ISSN 0022-3778.

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Abstract

We derive a weak turbulence formalism for incompressible magnetohydrodynamics. Three-wave interactions lead to a system of kinetic equations for the spectral densities of energy and helicity. The kinetic equations conserve energy in all wavevector planes normal to the applied magnetic field B0ê[parallel R: parallel]. Numerically and analytically, we find energy spectra E± [similar] kn±[bot bottom], such that n+ + n− = −4, where E± are the spectra of the Elsässer variables z± = v ± b in the two-dimensional case (k[parallel R: parallel] = 0). The constants of the spectra are computed exactly and found to depend on the amount of correlation between the velocity and the magnetic field. Comparison with several numerical simulations and models is also made.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Turbulence, Magnetohydrodynamics, Wave mechanics, Magnetic fields
Journal or Publication Title:	Journal of Plasma Physics
Publisher:	Cambridge University Press
ISSN:	0022-3778
Official Date:	June 2000
Dates:	Date Event June 2000 Published
Volume:	Vol.63
Number:	No.5
Page Range:	pp. 447-488
DOI:	10.1017/S0022377899008284
Status:	Peer Reviewed
Access rights to Published version:	Open Access (Creative Commons)

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