Issue |
Europhys. Lett.
Volume 57, Number 6, March 2002
|
|
---|---|---|
Page(s) | 845 - 851 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2002-00588-3 | |
Published online | 01 August 2002 |
Velocity spectra of superfluid turbulence
1
Mathematics Department, University of Newcastle -
Newcastle NE1 7RU, UK
2
Department of Aeronautics, Imperial College South Kensington,
London SW7 2BY, UK
Received:
17
September
2001
Accepted:
7
January
2002
We study numerically statistics of superfluid turbulence.
We generate a quantized superfluid vortex tangle driven by a
realistic model of normal-fluid turbulence whose energy spectrum
obeys Kolmogorov's classical law, where k is the
wave number.
We find that the resulting superfluid velocity spectrum has
approximately a k-1-dependence for wave numbers
of the order of
and larger,
where δ is the average intervortex spacing. This
result is similar to what happens in a pure superflow.
We also find that the spectrum of the
total velocity field follows the classical
law,
even at temperatures low enough that the normal-fluid mass is only
of the total helium mass.
We discuss our assumptions and results in view of recent experiments.
PACS: 67.40.Vs – Vortices and turbulence / 47.37.+q – Hydrodynamics aspects of superfluidity
© EDP Sciences, 2002
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