Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation

Alberto Villois, Davide Proment, Giorgio Krstulovic

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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 quantised 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-scales 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.
Original languageEnglish
Article number061103
JournalPhysical Review E
Issue number6
Publication statusPublished - 30 Jun 2016

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