Fizika Nizkikh Temperatur: Volume 46, Number 10 (October 2020), p. 1155-1160 ( to contents , go back )
The energy spectrum of reconnected vortex loops in He II
V. A. Andryushchenko1,2 and L. P. Kondaurova1
1Institute of Thermophysics, 1 Lavrentyev Ave, Novosibirsk 630090, Russia
2Novosibirsk State University, 2 Pirogova Str., Novosibirsk 630090, Russia
Received June 9, 2020, published online August 21, 2020
A systematic study of the energy spectrum after reconnection of vortex loops was made at various values of the liquid temperature (from a temperature close to absolute zero to a temperature of T = 1.9 K). At each temperature, the initial conditions varied, namely, the vortex loops were initially located in planes, the angle between which varied from 0 to π/2. To find the spectrum, a statistical approach was used, i.e., the second-order longitudinal structural function of velocity was calculated. In all cases considered, the spectra were obtained E(k) ∝ (k)–3/2 that are characteristic of a smooth vortex ring.
Key words: the energy spectrum, superfluidity, vortex lines, quantum turbulence, reconnection.