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A weak turbulence theory for incompressible magnetohydrodynamics
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UNSPECIFIED (1999) A weak turbulence theory for incompressible magnetohydrodynamics. In: Workshop on Nonlinear MHD Waves and Turbulence, NICE, FRANCE, DEC 01-04, 1998. Published in: NONLINEAR MHD WAVES AND TURBULENCE, 536 pp. 291-330.
Full text not available from this repository.Abstract
We derive a weak turbulence formalism for incompressible MHD. 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 B-o(e) over cap (parallel to) Numerically and analytically, we find energy spectra E+/- similar to k(perpendicular to)(n+/-), such that n(+) + n(-) = -4, where E+/- are the spectra of the Elsasser variables z(+/-) = v +/- b in the two-dimensional case (k(parallel to) = 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: | Conference Item (UNSPECIFIED) |
|---|---|
| Subjects: | Q Science > QC Physics |
| Series Name: | LECTURE NOTES IN PHYSICS |
| Journal or Publication Title: | NONLINEAR MHD WAVES AND TURBULENCE |
| Publisher: | SPRINGER-VERLAG BERLIN |
| ISBN: | 3-540-66697-4 |
| ISSN: | 0075-8450 |
| Editor: | Passot, T and Sulem, PL |
| Date: | 1999 |
| Volume: | 536 |
| Number of Pages: | 40 |
| Page Range: | pp. 291-330 |
| Publication Status: | Published |
| Title of Event: | Workshop on Nonlinear MHD Waves and Turbulence |
| Location of Event: | NICE, FRANCE |
| Date(s) of Event: | DEC 01-04, 1998 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/12705 |
Data sourced from Thomson Reuters' Web of Knowledge
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