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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| Published in: | Физика низких температур |
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| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117445 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862649786598948864 |
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| author | L’vov, V. S. Nazarenko, S. |
| author_facet | L’vov, V. S. Nazarenko, S. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-01T16:37:05Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-117445 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-01T16:37:05Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | L’vov, V. S. Nazarenko, S. 2017-05-23T15:22:02Z 2017-05-23T15:22:02Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/117445 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. We thank J. Laurie and O. Rudenko for help in the evaluation of the effective interaction coefficient. We acknowledge support of the US-Israel Binational Scientific Foundation administrated by the Israeli Academy of Science, and of the EC — Research Infrastructures under the FP7 Capacities Specific Programme, MICROKELVIN project number 228464. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К 80-летию со дня рождения В.Г. Барьяхтара Weak turbulence of Kelvin waves in superfluid He Article published earlier |
| spellingShingle | Weak turbulence of Kelvin waves in superfluid He L’vov, V. S. Nazarenko, S. К 80-летию со дня рождения В.Г. Барьяхтара |
| title | 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_short | Weak turbulence of Kelvin waves in superfluid He |
| title_sort | weak turbulence of kelvin waves in superfluid he |
| topic | К 80-летию со дня рождения В.Г. Барьяхтара |
| topic_facet | К 80-летию со дня рождения В.Г. Барьяхтара |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117445 |
| work_keys_str_mv | AT lvovvs weakturbulenceofkelvinwavesinsuperfluidhe AT nazarenkos weakturbulenceofkelvinwavesinsuperfluidhe |