Weak Alfvén-wave turbulence revisited
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
WRAP_Nazarenko_1110.6682.pdf - Accepted Version
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Official URL: http://dx.doi.org/10.1103/PhysRevE.85.036406
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|
|Access rights to Published version:||Restricted or Subscription Access|
|Funder:||Science and Technology Facilities Council (Great Britain) (STFC), Leverhulme Trust (LT)|
 R. H. Kraichnan, Phys. Fluids 8, 1385 (1968).
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