Low Temperature Physics: 45, 841 (2019); https://doi.org/10.1063/1.5116532
Fizika Nizkikh Temperatur: Volume 45, Number 8 (August 2019), p. 986-994    ( to contents , go back )

Macroscopic dynamics of superfluid turbulence

S.K. Nemirovskii

Институт теплофизики СО РАН, г. Новосибирск, Россия
Национальный исследовательский университет «МЭИ», г. Москва, Россия
E-mail: nemir@itp.nsc.ru
pos Анотація:

Received May 10, 2019, published online June 26, 2019

Abstract

The hydrodynamics problems superfluid fluid containing chaotic tangle of quantized vortex filaments are discussed. The construction of such hydrodynamics decisively depends on the statistics of the vortex tangle. The article presents the construction of hydrodynamic equations in two important cases. The first case corresponds to a vortex tangle consisting of completely chaotic vortex filaments. Such a case, which is realized in the counterflowing helium is called as the Vinen turbulence. When constructing macroscopic dynamics, the system of equations of the two-fluid hydrodynamics is closed by the Vinen equation for the vortex line density. Another case, socalled the Hall–Weinen–Bekarevich–Khalatnikov case, corresponds to the situation when there are bundle of polarized vortex filaments in the system. In this case, the system is closed with the use of the Feynman relation connecting the density of vortex lines with the superfluid vorticity. The problems related to the each of these two ways are discussed.

Key words: superfluid turbulence, quantized vortex filaments, macroscopic dynamics

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