Vortex spectrum in superfluid turbulence: interpretation of a recent experiment

Details Vortex spectrum in superfluid turbulence: interpretation of a recent experiment Vortex spectrum in superfluid turbulence: interpretation of a recent experiment

2007-09-04

arxiv.org/abs/0709.0368v1

Europhysics Letters (EPL) 81 (2008) 36002

Physics

Condensed Matter

Other Condensed Matter

Submitted for publication http://crtbt.grenoble.cnrs.fr/helio/GROUP/infa.html http://www.mas.ncl.ac.uk/~ncfb/

Scientific paper

10.1209/0295-5075/81/36002

We discuss a recent experiment in which the spectrum of the vortex line density fluctuations has been measured in superfluid turbulence. The observed frequency dependence of the spectrum, $f^{-5/3}$, disagrees with classical vorticity spectra if, following the literature, the vortex line density is interpreted as a measure of the vorticity or enstrophy. We argue that the disagrement is solved if the vortex line density field is decomposed into a polarised field (which carries most of the energy) and an isotropic field (which is responsible for the spectrum).

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