Weak turbulence of Kelvin waves in superfluid He

Автор(и)

  • Victor S. L’vov Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
  • Sergey Nazarenko Mathematics Institute, Warwick University, Coventry, CV4 7AL, UK

DOI:

https://doi.org/10.1063/1.3499242

Ключові слова:

turbulence, superfluid, Kelvin wave.

Анотація

Physics of small-scale quantum turbulence in superfluids is essentially based on the knowledge of the energy spectrum of Kelvin waves, Ek. In our paper, we derive a new type of kinetic equation for Kelvin waves on quantized vortex filaments with random large-scale curvature which describes a step-by-step energy cascade over scales caused by five-wave interactions. This approach replaces the previously used six-wave theory, which was recently shown to be inconsistent due to nonlocality. Solving the four-wave kinetic equation, we found a new local spectrum with a universal (curvature-independent) exponent, Ek k µ −5/3, which must replace the nonlocal spectrum of the six-wave theory, Ek k µ −7/5, in future theory, e.g., in finding the quantum turbulence decay rate, found by Kosik and Svistunov under wrong assumption of the locality of energy transfer in the sixwave interactions.

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Опубліковано

2010-08-04

Як цитувати

(1)
L’vov, V. S.; Nazarenko, S. Weak Turbulence of Kelvin Waves in Superfluid He. Fiz. Nizk. Temp. 2010, 36, 986-993.

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