Topological noise scalings in superfluid and classical turbulence
D. Kivotides
Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland
PACS: 47.27.Gs, 47.32.Cc, 67.40.Vs
Abstract
We calculate the topological noise characterizing
the direction of line vortices in superfluid and classical turbulence
by finding the intersection of line vortices with square surfaces
of edge length ls positioned normal to three orthogonal axes.
In the case of homogeneous superfluid turbulence
in thermal counterflow, we find that the noise scales
like ls along the two directions normal to the counterflow
and like ls3/2 along the direction parallel to it. In
homogeneous isotropic superfluid turbulence at
K,
the noise scales like ls7/4. In homogeneous isotropic
classical turbulence the scaling is ls2. We offer
possible interpretations of the computed scalings, as well as, justification
for their differences.