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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| Дата: | 2010 |
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| 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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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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| id |
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irk-123456789-1174452017-05-24T03:03:58Z Weak turbulence of Kelvin waves in superfluid He L’vov, V. S. Nazarenko, S. К 80-летию со дня рождения В.Г. Барьяхтара 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. 2010 Article 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 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
К 80-летию со дня рождения В.Г. Барьяхтара К 80-летию со дня рождения В.Г. Барьяхтара |
| spellingShingle |
К 80-летию со дня рождения В.Г. Барьяхтара К 80-летию со дня рождения В.Г. Барьяхтара L’vov, V. S. Nazarenko, S. Weak turbulence of Kelvin waves in superfluid He Физика низких температур |
| 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. |
| format |
Article |
| author |
L’vov, V. S. Nazarenko, S. |
| author_facet |
L’vov, V. S. Nazarenko, S. |
| author_sort |
L’vov, V. S. |
| title |
Weak turbulence of Kelvin waves in superfluid He |
| title_short |
Weak turbulence of Kelvin waves in superfluid He |
| title_full |
Weak turbulence of Kelvin waves in superfluid He |
| title_fullStr |
Weak turbulence of Kelvin waves in superfluid He |
| title_full_unstemmed |
Weak turbulence of Kelvin waves in superfluid He |
| title_sort |
weak turbulence of kelvin waves in superfluid he |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| topic_facet |
К 80-летию со дня рождения В.Г. Барьяхтара |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/117445 |
| citation_txt |
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. |
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Физика низких температур |
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AT lvovvs weakturbulenceofkelvinwavesinsuperfluidhe AT nazarenkos weakturbulenceofkelvinwavesinsuperfluidhe |
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2023-10-18T20:29:51Z |
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2023-10-18T20:29:51Z |
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1796150353073274880 |