Comment on "Reconnection of quantized vortex filaments and the Kolmogorov spectrum"

Abstract

In this Comment we would like to emphasize that in Phys. Rev. B 90, 104506 (2014) the calculated energy spectrum takes into account only the small interaction (cross) term and, additionally, this term is only calculated at the instant when the two vortices reconnect. The majority of the kinetic energy is contained in the self-energy term which has a characteristic spectrum of $1/k$. If this, and the additional average over time, is taken into account the suggested Kolmogorov type $k^{-5/3}$ spectrum is likely not visible in the kinetic energy spectrum which contains both terms. Therefore, we find the suggestion misleading that the Kolmogorov spectrum in superfluids arises from the reconnection of vortices.

arXiv comment2 pages. Comment on Phys. Rev. B 90, 104506 (2014); arXiv:1404.4932. V2: minor changes

References in corpus (7)

• Energy Spectrum of Superfluid Turbulence without Normal Fluid
• Superfluid turbulence from quantum Kelvin wave to classical Kolmogorov cascades
• Spectrum of Kelvin-wave turbulence in superfluids
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Energy spectrum of the 3D velocity field, induced by vortex tangle
• Reconnection of vortex filaments and Kolmogorov spectrum
• Identification of Kelvin waves: numerical challenges