Energy spectrum of the quantum vortices configurations
The energy spectra of the 3D velocity field, induced by various vortex filaments configurations are reviewed. The especial attention is paid to configurations generating the Kolmogorov type energy spectrum E(k) ∝ k⁻⁵/³. The motivation of this work is related to the problem of modeling classical tu...
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| Дата: | 2015 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/127937 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Energy spectrum of the quantum vortices configurations / S. K. Nemirovskii // Физика низких температур. — 2015. — Т. 41, № 6. — С. 608-614. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1279372018-01-01T03:02:50Z Energy spectrum of the quantum vortices configurations Nemirovskii, S.K. 10th International Conference on Cryocrystals and Quantum Crystals The energy spectra of the 3D velocity field, induced by various vortex filaments configurations are reviewed. The especial attention is paid to configurations generating the Kolmogorov type energy spectrum E(k) ∝ k⁻⁵/³. The motivation of this work is related to the problem of modeling classical turbulence with a set of chaotic vortex filaments. The quantity <v(k)v(–k)> can be exactly calculated, provided that we know the probability distribution functional P({s(ξ,t)}) of vortex loops configurations. The knowledge of P({s(ξ,t)}) is identical to the full solution of the problem of quantum turbulence and, in general, P is unknown. One of the simplifications is to investigate various truthful vortex configurations which can be elements of real vortex tangles. These configurations are: the uniform and nonuniform vortex arrays, the straight lines with excited Kelvin waves on it and the reconnecting vortex filaments. We demonstrate that the spectra E(k), generated by the these configurations, are close to the Kolmogorov dependence ∝ k⁻⁵/³, and discuss the reason for this as well as the reason for deviation. 2015 Article Energy spectrum of the quantum vortices configurations / S. K. Nemirovskii // Физика низких температур. — 2015. — Т. 41, № 6. — С. 608-614. — Бібліогр.: 34 назв. — англ. 0132-6414 PACS: 67.25.dk, 47.37.+q, 03.75.Kk http://dspace.nbuv.gov.ua/handle/123456789/127937 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 |
10th International Conference on Cryocrystals and Quantum Crystals 10th International Conference on Cryocrystals and Quantum Crystals |
| spellingShingle |
10th International Conference on Cryocrystals and Quantum Crystals 10th International Conference on Cryocrystals and Quantum Crystals Nemirovskii, S.K. Energy spectrum of the quantum vortices configurations Физика низких температур |
| description |
The energy spectra of the 3D velocity field, induced by various vortex filaments configurations are reviewed.
The especial attention is paid to configurations generating the Kolmogorov type energy spectrum E(k) ∝ k⁻⁵/³. The
motivation of this work is related to the problem of modeling classical turbulence with a set of chaotic vortex filaments.
The quantity <v(k)v(–k)> can be exactly calculated, provided that we know the probability distribution functional P({s(ξ,t)}) of vortex loops configurations. The knowledge of P({s(ξ,t)}) is identical to the full solution of
the problem of quantum turbulence and, in general, P is unknown. One of the simplifications is to investigate various
truthful vortex configurations which can be elements of real vortex tangles. These configurations are: the uniform
and nonuniform vortex arrays, the straight lines with excited Kelvin waves on it and the reconnecting vortex
filaments. We demonstrate that the spectra E(k), generated by the these configurations, are close to the Kolmogorov
dependence ∝ k⁻⁵/³, and discuss the reason for this as well as the reason for deviation. |
| format |
Article |
| author |
Nemirovskii, S.K. |
| author_facet |
Nemirovskii, S.K. |
| author_sort |
Nemirovskii, S.K. |
| title |
Energy spectrum of the quantum vortices configurations |
| title_short |
Energy spectrum of the quantum vortices configurations |
| title_full |
Energy spectrum of the quantum vortices configurations |
| title_fullStr |
Energy spectrum of the quantum vortices configurations |
| title_full_unstemmed |
Energy spectrum of the quantum vortices configurations |
| title_sort |
energy spectrum of the quantum vortices configurations |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2015 |
| topic_facet |
10th International Conference on Cryocrystals and Quantum Crystals |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/127937 |
| citation_txt |
Energy spectrum of the quantum vortices configurations / S. K. Nemirovskii // Физика низких температур. — 2015. — Т. 41, № 6. — С. 608-614. — Бібліогр.: 34 назв. — англ. |
| series |
Физика низких температур |
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2023-10-18T20:54:14Z |
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2023-10-18T20:54:14Z |
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