Weak Alfven-wave turbulence revisited.

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(...

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Váldodahkkit: Schekochihin, A, Nazarenko, S, Yousef, T
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: 2012
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author Schekochihin, A
Nazarenko, S
Yousef, T
author_facet Schekochihin, A
Nazarenko, S
Yousef, T
author_sort Schekochihin, A
collection OXFORD
description 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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spelling oxford-uuid:10bbd04c-d745-49db-b8a4-f10c0320b94a2022-03-26T09:58:02ZWeak Alfven-wave turbulence revisited.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:10bbd04c-d745-49db-b8a4-f10c0320b94aEnglishSymplectic Elements at Oxford2012Schekochihin, ANazarenko, SYousef, TWeak 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.
spellingShingle Schekochihin, A
Nazarenko, S
Yousef, T
Weak Alfven-wave turbulence revisited.
title Weak Alfven-wave turbulence revisited.
title_full Weak Alfven-wave turbulence revisited.
title_fullStr Weak Alfven-wave turbulence revisited.
title_full_unstemmed Weak Alfven-wave turbulence revisited.
title_short Weak Alfven-wave turbulence revisited.
title_sort weak alfven wave turbulence revisited
work_keys_str_mv AT schekochihina weakalfvenwaveturbulencerevisited
AT nazarenkos weakalfvenwaveturbulencerevisited
AT youseft weakalfvenwaveturbulencerevisited