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A weak turbulence theory for incompressible magnetohydrodynamics
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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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Official URL: http://dx.doi.org/10.1017/S0022377899008284
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 | ||||
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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: |
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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) |
Data sourced from Thomson Reuters' Web of Knowledge
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