PMID: 22587195May 17, 2012Paper

Weak Alfvén-wave turbulence revisited

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A A SchekochihinTarek A Yousef

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.

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Citations

Mar 7, 2018·Journal of Plasma Physics·Benjamin D G Chandran
Mar 26, 2016·Physical Review Letters·Romain MeyrandKhurom H Kiyani
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Clark di LeoniP D Mininni
Oct 4, 2012·Physical Review Letters·Andrea Verdini, Roland Grappin

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