Asymptotic motion of a single vortex in a rotating cylinder

TL;DR

This paper numerically investigates the long-term behavior and stability of a single quantized vortex in a rotating cylinder, focusing on its asymptotic motion, velocities, and effects of tilting.

Contribution

It provides new insights into the asymptotic form, velocities, and stability of vortices in rotating cylinders, including effects of tilting the cylinder.

Findings

Vortex exhibits specific asymptotic form and velocities.

Vortex stability depends on cylinder tilt.

Vortex spirals and propagates with identifiable velocities.

Abstract

We study numerically the behavior of a single quantized vortex in a rotating cylinder. We study in particular the spiraling motion of a vortex in a cylinder that is parallel to the rotation axis. We determine the asymptotic form of the vortex and its axial and azimuthal propagation velocities under a wide range of parameters. We also study the stability of the vortex line and the effect of tilting the cylinder from the rotation axis.