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Energy Spectrum of Superfluid Turbulence without Normal Fluid

Tsunehiko Araki·Makoto Tsubota·Sergey K. Nemirovskii
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Abstract

The energy spectrum of the superfluid turbulence without the normal fluid is studied numerically under the vortex filament model. Time evolution of the Taylor-Green vortex is calculated under the full nonlocal Biot-Savart law. It is shown that for k<2pi/l, the energy spectrum is very similar to the Kolmogorov's -5/3 law which is the most important statistical property of the conventional turbulence, where k is the wave number of the Fourier component of the velocity field and 1 the average intervortex spacing. The vortex length distribution becomes to obey a scaling property reflecting the self-similarity of the tangle.

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Tsunehiko Araki, Makoto Tsubota, Sergey K. Nemirovskii. 2002-09-03. Energy Spectrum of Superfluid Turbulence without Normal Fluid. https://doi.org/10.1103/physrevlett.89.145301

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