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Weak Alfvén-wave turbulence revisited

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Schekochihin, Alexander A., 1973-, Nazarenko, Sergey and Yousef, Tarek. (2012) Weak Alfvén-wave turbulence revisited. Physical Review E, Vol.85 (No.3). 036406. ISSN 1539-3755

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Abstract

Weak Alfvénic turbulence in a periodic domain is considered as a mixed state of Alfvén waves interacting with the two-dimensional (2D) condensate. Unlike in standard treatments, no spectral continuity between the two is assumed, and, indeed, none is found. If the 2D modes are not directly forced, k−2 and k−1 spectra are found for the Alfvén waves and the 2D modes, respectively, with the latter less energetic than the former. The wave number at which their energies become comparable marks the transition to strong turbulence. For imbalanced energy injection, the spectra are similar, and the Elsasser ratio scales as the ratio of the energy fluxes in the counterpropagating Alfvén waves. If the 2D modes are forced, a 2D inverse cascade dominates the dynamics at the largest scales, but at small enough scales, the same weak and then strong regimes as described above are achieved.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Magnetohydrodynamic waves -- Mathematical models, Turbulence -- Mathematical models
Journal or Publication Title: Physical Review E
Publisher: American Physical Society
ISSN: 1539-3755
Official Date: 2012
Volume: Vol.85
Number: No.3
Page Range: 036406
Identification Number: 10.1103/PhysRevE.85.036406
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Science and Technology Facilities Council (Great Britain) (STFC), Leverhulme Trust (LT)
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URI: http://wrap.warwick.ac.uk/id/eprint/48788

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