Weak turbulence of Kelvin waves in superfluid He
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-b...
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| Видавець: | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/117445 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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