Method of trial distribution function for quantum turbulence
Studying quantum turbulence the necessity of calculation the various characteristics of the vortex tangle (VT)
 appears. Some of "crude" quantities can be expressed directly via the total length of vortex lines (per unit of volume)
 or the vortex line density L(t) and the s...
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| Published in: | Физика низких температур |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117922 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Method of trial distribution function
 for quantum turbulence / S.K. Nemirovskii // Физика низких температур. — 2012. — Т. 38, № 11. — С. 1306–1312. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862596699419049984 |
|---|---|
| author | Nemirovskii, S.K. |
| author_facet | Nemirovskii, S.K. |
| citation_txt | Method of trial distribution function
 for quantum turbulence / S.K. Nemirovskii // Физика низких температур. — 2012. — Т. 38, № 11. — С. 1306–1312. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | Studying quantum turbulence the necessity of calculation the various characteristics of the vortex tangle (VT)
appears. Some of "crude" quantities can be expressed directly via the total length of vortex lines (per unit of volume)
or the vortex line density L(t) and the structure parameters of the VT. Other more “subtle” quantities require
knowledge of the vortex line configurations {s(ξ,t)}. Usually, the corresponding calculations are carried
out with the use of more or less truthful speculations concerning arrangement of the VT. In this paper we review
other way to solution of this problem. It is based on the trial distribution functional (TDF) in space of vortex
loop configurations. The TDF is constructed on the basis of well established properties of the vortex tangle. It is
designed to calculate various averages taken over stochastic vortex loop configurations. In this paper we also review
several applications of the use this model to calculate some important characteristics of the vortex tangle.
In particular we discussed the average superfluid mass current J induced by vortices and its dynamics. We also
describe the diffusion-like processes in the nonuniform vortex tangle and propagation of turbulent fronts.
|
| first_indexed | 2025-11-27T15:38:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117922 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-27T15:38:03Z |
| publishDate | 2012 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Nemirovskii, S.K. 2017-05-27T13:25:53Z 2017-05-27T13:25:53Z 2012 Method of trial distribution function
 for quantum turbulence / S.K. Nemirovskii // Физика низких температур. — 2012. — Т. 38, № 11. — С. 1306–1312. — Бібліогр.: 28 назв. — англ. 0132-6414 PACS: 67.25.dk, 47.37.+q, 05.20.–y https://nasplib.isofts.kiev.ua/handle/123456789/117922 Studying quantum turbulence the necessity of calculation the various characteristics of the vortex tangle (VT)
 appears. Some of "crude" quantities can be expressed directly via the total length of vortex lines (per unit of volume)
 or the vortex line density L(t) and the structure parameters of the VT. Other more “subtle” quantities require
 knowledge of the vortex line configurations {s(ξ,t)}. Usually, the corresponding calculations are carried
 out with the use of more or less truthful speculations concerning arrangement of the VT. In this paper we review
 other way to solution of this problem. It is based on the trial distribution functional (TDF) in space of vortex
 loop configurations. The TDF is constructed on the basis of well established properties of the vortex tangle. It is
 designed to calculate various averages taken over stochastic vortex loop configurations. In this paper we also review
 several applications of the use this model to calculate some important characteristics of the vortex tangle.
 In particular we discussed the average superfluid mass current J induced by vortices and its dynamics. We also
 describe the diffusion-like processes in the nonuniform vortex tangle and propagation of turbulent fronts. The work was supported by the grants N 10-08-00369
 and N 10-02-00514 from the Russian Foundation of Basic
 Research, and by the grant from the President Federation
 on the State Support of Leading Scientific Schools
 NSh-6686.2012.8. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К 75-летию Л.П. Межова-Деглина Method of trial distribution function for quantum turbulence Article published earlier |
| spellingShingle | Method of trial distribution function for quantum turbulence Nemirovskii, S.K. К 75-летию Л.П. Межова-Деглина |
| title | Method of trial distribution function for quantum turbulence |
| title_full | Method of trial distribution function for quantum turbulence |
| title_fullStr | Method of trial distribution function for quantum turbulence |
| title_full_unstemmed | Method of trial distribution function for quantum turbulence |
| title_short | Method of trial distribution function for quantum turbulence |
| title_sort | method of trial distribution function for quantum turbulence |
| topic | К 75-летию Л.П. Межова-Деглина |
| topic_facet | К 75-летию Л.П. Межова-Деглина |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117922 |
| work_keys_str_mv | AT nemirovskiisk methodoftrialdistributionfunctionforquantumturbulence |