Weak turbulence of Kelvin waves in superfluid He
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Weak turbulence of Kelvin waves in superfluid He
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| Creator |
L’vov, V. S.
Nazarenko, S. |
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| Subject |
К 80-летию со дня рождения В.Г. Барьяхтара
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| Description |
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⁻⁵/³, which must replace the nonlocal spectrum of the six-wave theory, Ek∝k⁻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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| Date |
2017-05-23T15:22:02Z
2017-05-23T15:22:02Z 2010 |
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| Type |
Article
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| Identifier |
Weak turbulence of Kelvin waves in superfluid He / V. S. L’vov, S. Nazarenko // Физика низких температур. — 2010. — Т. 36, № 8-9. — С. 986–993. — Бібліогр.: 23 назв. — англ.
0132-6414 PACS: 67.25.dk, 47.37.+q, 45.10.Hj, 47.10.Df http://dspace.nbuv.gov.ua/handle/123456789/117445 |
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| Language |
en
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| Relation |
Физика низких температур
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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