Logarithmic velocity profile of quantum turbulence of superfluid $^4$He

TL;DR

This paper numerically demonstrates the emergence of a logarithmic velocity profile in quantum turbulence of superfluid helium-4 under normal flow conditions, revealing wall effects on vortex dynamics.

Contribution

It shows for the first time that a classical-like log-law appears in superfluid quantum turbulence influenced by channel walls.

Findings

Logarithmic velocity profile observed in superfluid helium-4 turbulence.

Wall-affected vortex tangle exhibits characteristic behavior consistent with the log-law.

Numerical analysis of vortex dynamics near channel walls.

Abstract

The logarithmic velocity profile is the most important statistical law of classical turbulence affected by channel walls. This paper demonstrates numerically that the logarithmic velocity profile of a superfluid flow appears in quantum turbulence under pure normal flow in a channel. We investigated the configuration and dynamics of an inhomogeneous vortex tangle affected by the walls, and found the characteristic behavior of the log-law.