Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He

Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He

Torsional oscillation of the vessels with quantum fluids is one of oldest and most popular methods for the study of quantized vortices. The recent and very bright example is the discovery of the supersolidity of the solid helium. In the torsion oscillation experiments the drop in the period of oscil...

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Бібліографічні деталі
Дата:2011
Автор: Nemirovskii, S.K.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
Назва видання:Физика низких температур
Теми:
8th International Conference on Cryocrystals and Quantum Crystals
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/118575
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He / S.K. Nemirovskii // Физика низких температур. — 2011. — Т. 37, № 5. — С. 517–522. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1185752017-05-31T03:07:59Z Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He Nemirovskii, S.K. 8th International Conference on Cryocrystals and Quantum Crystals Torsional oscillation of the vessels with quantum fluids is one of oldest and most popular methods for the study of quantized vortices. The recent and very bright example is the discovery of the supersolidity of the solid helium. In the torsion oscillation experiments the drop in the period of oscillations with achievement of some small temperature has been observed. This effect was attributed to the appearance of the superfluid component. This phenomenon depends on many various factors and has various explanations. But, if to adopt (at least hypothetically, at this stage) that the phenomenon of “supersolidity” (dissipativeless flow) is realized, we must consider the relaxation of the vortex system (we can call it as vortex tangle, vortex fluid, chaotic set of vortices, etc.). We have to do it for the very simple reason, that the only way to involve the superfluid component into rotation is the presence of the polarized vortices (with nonzero mean polarization along the axis of rotation). In the present work we submit the approach describing the vortex tangle relaxation model for the torsional oscillation responses of quantum systems, having in mind to apply it for the study of solid ⁴He. It is shown that the rotation of the superfluid component occurs in the relaxation-like manner with the relaxation time dependent on the amplitude of oscillation (as well as on the temperature and pressure). The study of this problem shows that there is a quasi-linear solution explaining the (amplitude dependent) shift of period. There is also an imaginary shift of the frequency (also the amplitude-dependent), which describes an additional dissipation. The results of the theory are compared with the recent measurements. 2011 Article Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He / S.K. Nemirovskii // Физика низких температур. — 2011. — Т. 37, № 5. — С. 517–522. — Бібліогр.: 16 назв. — англ. 0132-6414 PACS: 67.25.dk, 47.32.C–, 05.40.–a http://dspace.nbuv.gov.ua/handle/123456789/118575 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 8th International Conference on Cryocrystals and Quantum Crystals
8th International Conference on Cryocrystals and Quantum Crystals
spellingShingle 8th International Conference on Cryocrystals and Quantum Crystals
8th International Conference on Cryocrystals and Quantum Crystals
Nemirovskii, S.K.
Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
Физика низких температур
description Torsional oscillation of the vessels with quantum fluids is one of oldest and most popular methods for the study of quantized vortices. The recent and very bright example is the discovery of the supersolidity of the solid helium. In the torsion oscillation experiments the drop in the period of oscillations with achievement of some small temperature has been observed. This effect was attributed to the appearance of the superfluid component. This phenomenon depends on many various factors and has various explanations. But, if to adopt (at least hypothetically, at this stage) that the phenomenon of “supersolidity” (dissipativeless flow) is realized, we must consider the relaxation of the vortex system (we can call it as vortex tangle, vortex fluid, chaotic set of vortices, etc.). We have to do it for the very simple reason, that the only way to involve the superfluid component into rotation is the presence of the polarized vortices (with nonzero mean polarization along the axis of rotation). In the present work we submit the approach describing the vortex tangle relaxation model for the torsional oscillation responses of quantum systems, having in mind to apply it for the study of solid ⁴He. It is shown that the rotation of the superfluid component occurs in the relaxation-like manner with the relaxation time dependent on the amplitude of oscillation (as well as on the temperature and pressure). The study of this problem shows that there is a quasi-linear solution explaining the (amplitude dependent) shift of period. There is also an imaginary shift of the frequency (also the amplitude-dependent), which describes an additional dissipation. The results of the theory are compared with the recent measurements.
format Article
author Nemirovskii, S.K.
author_facet Nemirovskii, S.K.
author_sort Nemirovskii, S.K.
title Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
title_short Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
title_full Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
title_fullStr Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
title_full_unstemmed Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He
title_sort torsional oscillation of the vortex tangle. possible applications to oscillations of solid ⁴he
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2011
topic_facet 8th International Conference on Cryocrystals and Quantum Crystals
url http://dspace.nbuv.gov.ua/handle/123456789/118575
citation_txt Torsional oscillation of the vortex tangle. Possible applications to oscillations of solid ⁴He / S.K. Nemirovskii // Физика низких температур. — 2011. — Т. 37, № 5. — С. 517–522. — Бібліогр.: 16 назв. — англ.
series Физика низких температур
work_keys_str_mv AT nemirovskiisk torsionaloscillationofthevortextanglepossibleapplicationstooscillationsofsolid4he
first_indexed 2023-10-18T20:32:32Z
last_indexed 2023-10-18T20:32:32Z
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