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arXiv · 1309.1797

Nonlocality in Homogeneous Superfluid Turbulence

O. M. Dix·R. J. Zieve
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Abstract

Simulating superfluid turbulence using the localized induction approximation in periodic bound- aries produces open-orbit vortices, which make superfluid turbulence unsustainable. Calculating with the fully nonlocal Biot-Savart law prevents the open-orbit state from forming, but also in- creases computation time. We use a truncated Biot-Savart integral to investigate the effects of nonlocality on homogeneous turbulence. We find that including the nonlocal interaction up to the average intervortex spacing prevents this open-orbit state from forming, yielding an accurate model of homogeneous superfluid turbulence with less computation time.

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O. M. Dix, R. J. Zieve. 2013-09-07. Nonlocality in Homogeneous Superfluid Turbulence. https://doi.org/10.1103/physrevb.90.144511

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