Spectrum of Kelvin-wave turbulence in superfluids |
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Authors: | V S L’vov and S Nazarenko |
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Institution: | (1) Grup de Fisica Estadistica, Departament de Fisica, Universitat Autonoma de Barcelona, 08193, Bellaterra, Catalonia, Spain;(2) Facultad de Ciencias, UNED, 28040 Madrid, Spain |
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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
LN(k) ∝ k
−5/3 must replace in future theory (e.g., in finding the quantum turbulence decay rate) the previously used spectrum E
KS(k) ∝ k
−7/5, which was recently shown to be inconsistent due to nonlocality of the 6-wave energy cascade. |
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Keywords: | |
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