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

Villois, Alberto, Proment, Davide and Krstulovic, Giorgio (2016) Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation. Physical Review E, 93 (6). ISSN 1539-3755

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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 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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 10 Jun 2016 16:00
Last Modified: 22 Apr 2020 01:29
URI: https://ueaeprints.uea.ac.uk/id/eprint/59296
DOI: 10.1103/PhysRevE.93.061103

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