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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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2015 |
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| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Nemirovskii, S.K. 2017-12-31T13:55:23Z 2017-12-31T13:55:23Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/127937 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. The work was supported by the grant N 14-19-00352 from RSCF (Russian Scientific Foundation). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур 10th International Conference on Cryocrystals and Quantum Crystals Energy spectrum of the quantum vortices configurations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Energy spectrum of the quantum vortices configurations |
| spellingShingle |
Energy spectrum of the quantum vortices configurations Nemirovskii, S.K. 10th International Conference on Cryocrystals and Quantum Crystals |
| 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 |
| author |
Nemirovskii, S.K. |
| author_facet |
Nemirovskii, S.K. |
| topic |
10th International Conference on Cryocrystals and Quantum Crystals |
| topic_facet |
10th International Conference on Cryocrystals and Quantum Crystals |
| publishDate |
2015 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT nemirovskiisk energyspectrumofthequantumvorticesconfigurations |
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2025-12-07T16:01:09Z |
| last_indexed |
2025-12-07T16:01:09Z |
| _version_ |
1850865897053356032 |