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arXiv · 0911.2065

Spectrum of Kelvin-wave turbulence in superfluids

Victor S. L'vov·Sergey Nazarenko
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Abstract

We derive a type of kinetic equation for Kelvin waves on quantized vortex filaments with random large-scale curvature, that describes step-by-step (local) energy cascade over scales caused by 4-wave interactions. Resulting new energy spectrum $E\Sb{LN}(k)\propto k^{-5/3}$ must replace in future theory (e.g. in finding the quantum turbulence decay rate) the previously used spectrum $E\Sb {KS}(k)\propto k^{-7/5}$, which was recently shown to be inconsistent due to nonlocality of the 6-wave energy cascade.

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Victor S. L'vov, Sergey Nazarenko. 2009-11-11. Spectrum of Kelvin-wave turbulence in superfluids. https://doi.org/10.1134/s002136401008014x

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