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

Alberto Villois, Davide Proment, Giorgio Krstulovic

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Article number061103
JournalPhysical Review E
Volume93
Issue number6
DOIs
Publication statusPublished - 30 Jun 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation. / Villois, Alberto; Proment, Davide; Krstulovic, Giorgio.

In: Physical Review E, Vol. 93, No. 6, 061103, 30.06.2016.

Research output: Contribution to journalArticle

@article{97daa45440f445bb8193044ca4f84f38,
title = "Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation",
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.",
author = "Alberto Villois and Davide Proment and Giorgio Krstulovic",
year = "2016",
month = "6",
day = "30",
doi = "10.1103/PhysRevE.93.061103",
language = "English",
volume = "93",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Evolution of a superfluid vortex filament tangle driven by the Gross-Pitaevskii equation

AU - Villois, Alberto

AU - Proment, Davide

AU - Krstulovic, Giorgio

PY - 2016/6/30

Y1 - 2016/6/30

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84977100881&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.93.061103

DO - 10.1103/PhysRevE.93.061103

M3 - Article

VL - 93

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

M1 - 061103

ER -