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Differential approximation for kelvin wave turbulence
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UNSPECIFIED (2006) Differential approximation for kelvin wave turbulence. JETP LETTERS, 83 (5). pp. 198-200. doi:10.1134/S0021364006050031 ISSN 0021-3640.
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Official URL: http://dx.doi.org/10.1134/S0021364006050031
Abstract
present a nonlinear differential equation model (DAM) for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kinetic equation, its direct and inverse cascade solutions, as well as the thermodynamic equilibrium spectra. Further, I extend DAM to include the effect of sound radiation by Kelvin waves. I show that, because of the phonon radiation, the turbulence spectrum ends at a maximum frequency Of omega* similar to (epsilon(3) C-s(20) /kappa(16))(1/13), where E is the total energy injection rate, c(s) is the speed of sound, and kappa is the quantum of circulation.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | JETP LETTERS | ||||
Publisher: | MAIK NAUKA/INTERPERIODICA/SPRINGER | ||||
ISSN: | 0021-3640 | ||||
Official Date: | 10 March 2006 | ||||
Dates: |
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Volume: | 83 | ||||
Number: | 5 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 198-200 | ||||
DOI: | 10.1134/S0021364006050031 | ||||
Publication Status: | Published |
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