Scattering and leapfrogging of vortex rings in a superfluid
Abstract
The dynamics of vortex ring pairs in the homogeneous nonlinear Schrödinger 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 01, 2014
- Source ID
- 10.1063/1.4894745
Entities
People
- J. D. Talley
- P. G. Kevrekidis
- R. Carretero-gonzález
- R. M. Caplan
Organizations
- Air Force Office of Scientific Research
- Alexander von Humboldt Foundation
- National Science Foundation
- San Diego State University
- University of Massachusetts