Inviscid diffusion of vorticity in low temperature superfluid helium

Abstract

We numerically study the spatial spreading of quantized vortex lines in low temperature liquid helium. The vortex lines, initially concentrated in a small region, diffuse into the surrounding vortex-free helium, a situation which is typical of many experiments. We find that this spreading, which occurs in the absence of viscosity, emerges from the interactions between the vortex lines, and can be interpreted as a diffusion process with effective coefficient equal to approximately 0.5$\kappa$ where $\kappa$ is the quantum of circulation.

References in corpus (11)

• Introduction to quantum turbulence
• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Quantum and quasiclassical types of superfluid turbulence
• Turbulent velocity spectra in superfluid flows
• Detection and Imaging of He_2 Molecules in Superfluid Helium
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Intermittency of quantum turbulence with superfluid fractions from 0% to 96%
• Dissipation in quantum turbulence in superfluid ${}^4$He above 1K
• Universal Critical Velocity for the Onset of Turbulence of Oscillatory Superfluid Flow
• Intermittency enhancement in quantum turbulence
• Diffusion of Quantum Vortices

Cited by in corpus (2)

• Superdiffusion of quantized vortices uncovering scaling behavior of quantum turbulence
• Dynamics of turbulent plugs in a superfluid ${}^4$He channel counterflow