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Vortex spectrum in superfluid turbulence: Interpretation of a recent experiment

P.-E. Roche1 and C. F. Barenghi2

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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).


PACS

67.25.dk Vortices and turbulence

47.37.+q Hydrodynamic aspects of superfluidity; quantum fluids

67.30.hb Transport, hydrodynamics, and superflow

Subjects

Quantum gases, liquids and solids

Fluid dynamics

Dates

Issue 3 (February 2008)

Received 4 September 2007, accepted for publication 30 November 2007

Published 3 January 2008



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