Low Temperature Physics: 34, 293 (2008); https://doi.org/10.1063/1.2911641 (5 pages)
Fizika Nizkikh Temperatur: Volume 34, Number 4-5 (April 2008), p. 373-379    ( to contents , go back )

Energy spectrum of the velocity field induced by a fractal vortex line in superfluid helium

S.K. Nemirovskii and V.A. Andryuschenko

Kutateladze Institute of Thermophysics SB RAS, Novosibirsk 630090, Russia
Novosibirsk state university, street. Pirogova, 2, Novosibirsk, 630090, Russia
E-mail: nemir@itp.nsc.ru
pos Анотація:

Received November 29, 2007


The energy spectrum E(k) of the three-dimensional velocity field induced by fractal vortex line in superfluid helium is calculated by the use of the Gaussian model of vortex tangle induced by chaotic vortex lines. We studied the cases of various Haussdorf dimension HD. If the line is a purely fractal object with Haussdorf dimension HD, the E(k) is a power-like function E(k)~kHD-2 for large k, whereas for small k the spectrum has universal character E(k) ~ k2. For very small distance from the vortex line the characteristics are similar to those of a smooth line.

PACS: 67.25.dk Vortices and turbulence ;
PACS: 98.80.Cq Particle-theory and field-theorymodels of the early Universe.

Key words: model of the vortex tangle, fractal vortex line, superfluid helium.

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