Abstract
The development and decay of a turbulent vortex tangle driven by the Gross-Pitaevskii equation is studied. Using a recently developed accurate and robust tracking algorithm, all quantized vortices are extracted from the fields. The Vinen's decay law for the total vortex length with a coefficient that is in quantitative agreement with the values measured in helium II is observed. The topology of the tangle is then investigated showing that linked rings may appear during the evolution. The tracking also allows for determining the statistics of small-scale quantities of vortex lines, exhibiting large fluctuations of curvature and torsion. Finally, the temporal evolution of the Kelvin wave spectrum is obtained providing evidence of the development of a weak-wave turbulence cascade.
Highlights
The development and decay of a turbulent vortex tangle driven by the Gross-Pitaevskii equation is studied
Superfluid examples which are routinely created in laboratories are superfluid liquid Helium (He II) and Bose-Einstein condensates (BECs) made of dilute Alkali gases
An example is the vortex filament (VF) model based on the Biot-Savart law that relates vorticity and velocity [3]
Summary
The development and decay of a turbulent vortex tangle driven by the Gross-Pitaevskii equation is studied. Superfluid turbulence regards the study of the evolution of many vortex lines, a tangle, which induce velocity field gradients in the fluid at several length scales. The VF model implicitly assumes that the superfluid density field is constant everywhere and the vortex structure is precisely a line with vanishing core.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call