Scattering of Line-Ring Vortices in a Superfluid
Abstract
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. By using a vortex extraction algorithm, we are able to track the location of the vortex ring as a function of time. Using this, we 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. 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.
Keywords
Cite
@article{arxiv.1410.4165,
title = {Scattering of Line-Ring Vortices in a Superfluid},
author = {Alberto Villois and Hayder Salman and Davide Proment},
journal= {arXiv preprint arXiv:1410.4165},
year = {2015}
}
Comments
12 pages, 7 figures