Local and nonlocal dynamics in superfluid turbulence
arXiv:1409.1443 · doi:10.1103/PhysRevB.91.104517
Abstract
Turbulence in superfluid helium~II is a tangle of quantized vortex lines which interact via the classical Biot-Savart law. We show that vortex tangles with the same vortex line density will have different energy spectra, depending on the normal fluid which feeds energy into the superfluid component, and identify the spectral signature of two forms of superfluid turbulence: Kolmogorov tangles and Vinen tangles. By decomposing the superfluid velocity field into local and nonlocal contributions, we find that in Vinen tangles the motion of vortex lines depends mainly on the local curvature, whereas in Kolmogorov tangles the long-range vortex interaction is dominant and leads to the formation of clustering of lines, in analogy to the 'worms` of ordinary turbulence.
arXiv comment13 pages, 11 figures, accepted for publication in PRB
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- Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium II
- Coarse-grained pressure dynamics in superfluid turbulence
- Vorticity Locking and Pressure Dynamics in Finite-Temperature Superfluid Turbulence
- Regimes of turbulence without an energy cascade