Relaxation of twist helicity in the cascade process of linked quantum vortices

Simone Zuccher and Renzo L. Ricca
Phys. Rev. E 95, 053109 – Published 18 May 2017

Abstract

By numerically solving the three-dimensional Gross-Pitaevskii equation we analyze the cascade process associated with the evolution and decay of a pair of linked vortex rings. The system decays through a series of reconnections to produce finally three unlinked, unfolded, almost planar vortex loops. Total helicity, initially zero, remains unchanged throughout the process. The gradual transfer from writhe (due to initial linking) to twist helicity, followed by a continuous relaxation of twist across scales during the evolution is shown to be a generic mechanism that consistently takes place on each individual component.

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  • Received 26 May 2016

DOI:https://doi.org/10.1103/PhysRevE.95.053109

©2017 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Simone Zuccher*

  • Department of Computer Science, University of Verona, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy

Renzo L. Ricca

  • Department of Mathematics & Applications, U. Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy and BDIC, Beijing University of Technology, 100 Pingleyuan, Beijing 100124, People's Republic of China

  • *simone.zuccher@univr.it
  • renzo.ricca@unimib.it

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Issue

Vol. 95, Iss. 5 — May 2017

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