Scattering of Line-Ring Vortices in a Superfluid

Alberto Villois, Hayder Salman, Davide Proment

Research output: Contribution to journalArticlepeer-review

4 Citations (SciVal)


We study the scattering of vortex rings by a superfluid line vortex using the Gross–Pitaevskii equation in a parameter regime where a hydrodynamic description based on a vortex filament approximation is applicable. The scattering of a vortex ring by a line vortex is characterised by the initial offset of the centre of the ring from the axis of the vortex. We find that a strong asymmetry exists in the scattering of a ring as a function of this initial scattering parameter. Using a vortex extraction algorithm, we are able to track the location of the vortex ring as a function of time. We then show that the scattering of the vortex ring in our Gross–Pitaevskii simulations is well captured by the local induction approximation of a vortex filament model for a wide range of impact parameters. In contrast, the absorption of the ring by the line vortex is not predicted by the local induction approximation.

Original languageEnglish
Pages (from-to)68-81
Number of pages14
JournalJournal of Low Temperature Physics
Issue number1-2
Early online date6 May 2015
Publication statusPublished - 1 Jul 2015


  • Biot-Savart filament model
  • Gross–Pitaevskii model
  • Local induction approximation
  • Scattering theory
  • Superfluids
  • Topological defects

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)
  • Condensed Matter Physics


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