Scattering and leapfrogging of vortex rings in a superfluid
Abstract
The dynamics of vortex ring pairs in the homogeneous nonlinear Schr\"odinger equation is studied. The generation of numerically-exact solutions of traveling vortex rings is described and their translational velocity compared to revised analytic approximations. The scattering behavior of co-axial vortex rings with opposite charge undergoing collision is numerically investigated for different scattering angles yielding a surprisingly simple result for its dependence as a function of the initial vortex ring parameters. We also study the leapfrogging behavior of co-axial rings with equal charge and compare it with the dynamics stemming from a modified version of the reduced equations of motion from a classical fluid model derived using the Biot-Savart law.
Keywords
Cite
@article{arxiv.1404.4922,
title = {Scattering and leapfrogging of vortex rings in a superfluid},
author = {R. M. Caplan and J. D. Talley and R. Carretero-Gonzalez and P. G. Kevrekidis},
journal= {arXiv preprint arXiv:1404.4922},
year = {2014}
}
Comments
12 pages, 11 figures