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arxiv: 1007.4927 · v1 · submitted 2010-07-28 · ❄️ cond-mat.other · physics.flu-dyn

The 17/5 spectrum of the Kelvin-wave cascade

classification ❄️ cond-mat.other physics.flu-dyn
keywords cascadespectrumkelvin-wavebiot-savartclear-cutdirectearlierequation
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Direct numeric simulation of the Biot-Savart equation readily resolves the 17/5 spectrum of the Kelvin-wave cascade from the 11/3 spectrum of the non-local (in the wavenumber space) cascade scenario by L'vov and Nazarenko. This result is a clear-cut visualisation of the unphysical nature of the 11/3 solution, which was established earlier on the grounds of symmetry.

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