Velocity spectra of superfluid turbulence

D. Kivotides, C. J. Vassilicos, D. C. Samuels, C. F. Barenghi

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Abstract

We study numerically statistics of superfluid turbulence. We generate a quantized superfiuid vortex tangle driven by a realistic model of normal-fluid turbulence whose energy spectrum obeys Kolmogorov's classical k-5/3 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 1/δ 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 k-5/3 law, even at temperatures low enough that the normal-fluid mass is only 5% of the total helium mass. We discuss our assumptions and results in view of recent experiments.

Original languageEnglish
Pages (from-to)845-851
Number of pages7
JournalEPL: A Letters Journal Exploring the Frontiers of Physics
Volume57
Issue number6
DOIs
Publication statusPublished - 15 Mar 2002

Keywords

  • vortices and turbulence
  • hydrodynamic aspects of superfluidity

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