Low Temperature Physics: 47, 652 (2021); https://doi.org/10.1063/10.0005553
On the energy spectrum of the 3D velocity field, generated by an ensemble of vortex loops
O. Yurkina and S. К. Nemirovskii
Kutateladze Institute of Thermophysics, Siberian Branch of the RAS, Novosibirsk 630090, Russia
Received March 1, 2021, published online June 25, 2021
The energy spectra of a three dimensional velocity field, induced by a set of vortex loops with various configurations are reviewed. This problem is closely related to the actual question of whether a chaotic set of vortex filaments can reproduce the real hydrodynamic turbulence. In the paper we discuss several cases, which allow evaluating spectra in an exact form. The research was made for an ensemble of vortex rings of different sizes as well as for vortex loops with fractal Hausdorf dimension equal to 5/3, which corresponds to Flory’s vortex model, the so-called self-avoid lines. The results obtained are discussed.
Key words: superfluidity, vortices, quantum turbulence.