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Phys. Rev. Lett. 83, 5306–5309 (1999)

A Damping Length Scale for Superfluid Turbulence

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David C. Samuels and Demosthenes Kivotides
Department of Mathematics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU, United Kingdom

Received 26 April 1999; revised 21 June 1999; published in the issue dated 20 December 1999

We show that a damping length scale sd exists for superfluid turbulence at nonzero temperatures, where the superfluid component is coupled by mutual friction to a viscous normal fluid. Superfluid vortex structures at length scales smaller than sd will lose energy to the normal fluid and will be dissipated. We derive the Reynolds-number dependence of this length scale and discuss the consequences of this length scale for the possible existence of a Kolmogorov -5/3 power law for the superfluid energy spectrum.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.5306
DOI:
10.1103/PhysRevLett.83.5306
PACS:
67.40.Vs, 47.37.+q