Nonlocality in Homogeneous Superfluid Turbulence

TL;DR

This paper demonstrates that incorporating nonlocal interactions up to the average intervortex spacing in superfluid turbulence simulations prevents open-orbit vortex states, enabling accurate modeling with reduced computational effort.

Contribution

It introduces a truncated Biot-Savart law approach that effectively models homogeneous superfluid turbulence by limiting nonlocal interactions, improving efficiency over full nonlocal calculations.

Findings

Including nonlocal interactions up to intervortex spacing prevents open-orbit vortices.

The truncated Biot-Savart law yields accurate turbulence simulations with less computation.

Open-orbit vortex states are avoided using the proposed nonlocal interaction cutoff.

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.