Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between?

Details Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between? Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between?

2007-03-02

arxiv.org/abs/cond-mat/0703047v3

Phys. Rev. B 77, 060502 (2008)

Physics

Condensed Matter

Other Condensed Matter

4 RevTex pages, 1 figure. Quantitative analysis of the regime 2 has been revised

Scientific paper

10.1103/PhysRevB.77.060502

As long as vorticity quantization remains irrelevant for the long-wave physics, superfluid turbulence supports a regime macroscopically identical to the Kolmogorov cascade of a normal liquid. At high enough wavenumbers, the energy flux in the wavelength space is carried by individual Kelvin-wave cascades on separate vortex lines. We analyze the transformation of the Kolmogorov cascade into the Kelvin-wave cascade, revealing a chain of three distinct intermediate cascades, supported by local-induction motion of the vortex lines, and distinguished by specific reconnection mechanisms. The most prominent qualitative feature predicted is unavoidable production of vortex rings of the size of the order of inter-vortex distance.

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