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| VOLUME 91 | ISSUE 8 |
PAGE 464
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| Spectrum of Kelvin-wave turbulence in superfluids |
V. S. L'vov*, S. Nazarenko
Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel
Mathematics Institute, Warwick University, CV4 7AL, Coventry, UK
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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  must replace in future theory
(e.g. in finding the quantum turbulence decay rate) the previously used spectrum
 , which was recently shown to be inconsistent
due to nonlocality of the 6-wave energy cascade.
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