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dc.contributor.author Nemirovskii, S.K.
dc.date.accessioned 2017-12-31T13:55:23Z
dc.date.available 2017-12-31T13:55:23Z
dc.date.issued 2015
dc.identifier.citation Energy spectrum of the quantum vortices configurations / S. K. Nemirovskii // Физика низких температур. — 2015. — Т. 41, № 6. — С. 608-614. — Бібліогр.: 34 назв. — англ. uk_UA
dc.identifier.issn 0132-6414
dc.identifier.other PACS: 67.25.dk, 47.37.+q, 03.75.Kk
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/127937
dc.description.abstract 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. uk_UA
dc.description.sponsorship The work was supported by the grant N 14-19-00352 from RSCF (Russian Scientific Foundation). uk_UA
dc.language.iso en uk_UA
dc.publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України uk_UA
dc.relation.ispartof Физика низких температур
dc.subject 10th International Conference on Cryocrystals and Quantum Crystals uk_UA
dc.title Energy spectrum of the quantum vortices configurations uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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