Simulation of stochastic vortex tangle

We present the results of simulation of the chaotic dynamics of quantized vortices in the bulk of superfluid He II. Evolution of vortex lines is calculated on the base of the Biot-Savart law. The dissipative effects appeared from the interaction with the normal component, or/and from relaxation of t...

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Published in:Физика низких температур
Date:2003
Main Authors: Kondaurova, L.P., Nemirovskii, S.K., Nedoboiko, M.V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2003
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/128893
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Simulation of stochastic vortex tangle / L.P. Kondaurova, S.K. Nemirovskii, M.V. Nedoboiko // Физика низких температур. — 2003. — Т. 29, № 8. — С. 835-839. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kondaurova, L.P.
Nemirovskii, S.K.
Nedoboiko, M.V.
author_facet Kondaurova, L.P.
Nemirovskii, S.K.
Nedoboiko, M.V.
citation_txt Simulation of stochastic vortex tangle / L.P. Kondaurova, S.K. Nemirovskii, M.V. Nedoboiko // Физика низких температур. — 2003. — Т. 29, № 8. — С. 835-839. — Бібліогр.: 11 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description We present the results of simulation of the chaotic dynamics of quantized vortices in the bulk of superfluid He II. Evolution of vortex lines is calculated on the base of the Biot-Savart law. The dissipative effects appeared from the interaction with the normal component, or/and from relaxation of the order parameter are taken into account. Chaotic dynamics appears in the system via a random forcing, e.i. we use the Langevin approach to the problem. In the present paper we require the correlator of the random force to satisfy the fluctuation-dissipation relation, which implies that thermodynamic equilibrium should be reached. In the paper we describe the numerical methods for integration of stochastic differential equation (including a new algorithm for reconnection processes), and we present the results of calculation of some characteristics of a vortex tangle such as the total length, distribution of loops in the space of their length, and the energy spectrum.
first_indexed 2025-12-07T15:44:24Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T15:44:24Z
publishDate 2003
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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spelling Kondaurova, L.P.
Nemirovskii, S.K.
Nedoboiko, M.V.
2018-01-14T11:54:41Z
2018-01-14T11:54:41Z
2003
Simulation of stochastic vortex tangle / L.P. Kondaurova, S.K. Nemirovskii, M.V. Nedoboiko // Физика низких температур. — 2003. — Т. 29, № 8. — С. 835-839. — Бібліогр.: 11 назв. — англ.
0132-6414
PACS: 47.32.Cc, 67.40.Vs, 05.40.-a
https://nasplib.isofts.kiev.ua/handle/123456789/128893
We present the results of simulation of the chaotic dynamics of quantized vortices in the bulk of superfluid He II. Evolution of vortex lines is calculated on the base of the Biot-Savart law. The dissipative effects appeared from the interaction with the normal component, or/and from relaxation of the order parameter are taken into account. Chaotic dynamics appears in the system via a random forcing, e.i. we use the Langevin approach to the problem. In the present paper we require the correlator of the random force to satisfy the fluctuation-dissipation relation, which implies that thermodynamic equilibrium should be reached. In the paper we describe the numerical methods for integration of stochastic differential equation (including a new algorithm for reconnection processes), and we present the results of calculation of some characteristics of a vortex tangle such as the total length, distribution of loops in the space of their length, and the energy spectrum.
The work is supported by INTAS grant 2001-0618.
 The report was submitted at the 3rd International Workshop on Low Temperature Microgravity Physics (CWS-2002).
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Квантовые жидкости и квантовые кpисталлы
Simulation of stochastic vortex tangle
Article
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spellingShingle Simulation of stochastic vortex tangle
Kondaurova, L.P.
Nemirovskii, S.K.
Nedoboiko, M.V.
Квантовые жидкости и квантовые кpисталлы
title Simulation of stochastic vortex tangle
title_full Simulation of stochastic vortex tangle
title_fullStr Simulation of stochastic vortex tangle
title_full_unstemmed Simulation of stochastic vortex tangle
title_short Simulation of stochastic vortex tangle
title_sort simulation of stochastic vortex tangle
topic Квантовые жидкости и квантовые кpисталлы
topic_facet Квантовые жидкости и квантовые кpисталлы
url https://nasplib.isofts.kiev.ua/handle/123456789/128893
work_keys_str_mv AT kondaurovalp simulationofstochasticvortextangle
AT nemirovskiisk simulationofstochasticvortextangle
AT nedoboikomv simulationofstochasticvortextangle