A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?

Abstract

We investigate quantum vortex ring dynamics at scales smaller than the inter-vortex spacing in quantum turbulence. Through geometrical arguments and high resolution numerical simulations we examine the validity of simple estimates of the mean free path and the structure of vortex rings post-reconnection. We find that a large proportion of vortex rings remain coherent objects where approximately $75\%$ of their energy is preserved. This leads us to consider the effectiveness of energy transport in turbulent tangles. Moreover, we show that in low density tangles, appropriate for the ultra-quantum regime, ring emission cannot be ruled out as an important mechanism for energy dissipation. However at higher vortex line densities, typically associated with the quasi-classical regime, loop emission is expected to make a negligible contribution to energy dissipation, even allowing for the fact that our work shows rings can survive multiple reconnection events. Hence the Kelvin wave cascade seems the most plausible mechanism leading to energy dissipation.

arXiv comment10 pages, 8 figures

References in corpus (14)

• Introduction to quantum turbulence
• Kelvin Wave Cascade and Decay of Superfluid Turbulence
• Bottleneck crossover between classical and quantum superfluid turbulence
• Quantum and quasiclassical types of superfluid turbulence
• Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between?
• Theory of decay of superfluid turbulence in the low-temperature limit
• Spectrum of turbulent Kelvin-waves cascade in superfluid helium
• Cascade of vortex loops initiated by a single reconnection of quantum vortices
• Thermally- and mechanically-driven quantum turbulence in helium II
• The sensitivity of the vortex filament method to different reconnection models
• Breathers on Quantized Superfluid Vortices
• Numerical Study of Velocity Statistics in Steady Counterflow Quantum Turbulence
• The Kelvin-wave cascade in the vortex filament model
• Reconnections of quantized vortex rings in superfluid ${}^4$He at very low temperatures

Cited by in corpus (5)

• Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit
• Interactions between unidirectional quantized vortex rings
• Scattering of Line-Ring Vortices in a Superfluid
• Vortex rings and vortex ring solitons in shaken Bose-Einstein condensate
• Vortex Simulations on a 3-Sphere