publication . Preprint . 2010

The 17/5 spectrum of the Kelvin-wave cascade

Kozik, Evgeny; Svistunov, Boris;
Open Access English
  • Published: 28 Jul 2010
Abstract
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.
Subjects
free text keywords: Physics - Fluid Dynamics, Condensed Matter - Other Condensed Matter
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[11] We refer to conversations with V. Lebedev and G. Volovik, to reports of the referees on Ref. [10], as well as the attempt by V. Lebedev and V. L'vov (see arXiv:1005.4575) to construct counter-arguments to our proof (we note in passing that the inconsistency of these counter-arguments is explained in our arXiv:1006.1789; Lebedev, L'vov, and Nazarenko do not agree with this explanation [arXiv:1007.3191]).

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