Vortex dynamics in the nonlinear Schrodinger equation
Condensed Matter
2009-11-07 v1
Abstract
The dynamics of a two-dimensional vortex are analyzed within the framework of the nonlinear Schrodinger equation. Both a bare vortex and a vortex with an external mass trapped in a finite-sized core are considered. The bare vortex motion is found to be damped at all frequencies, while the finite core has a single resonant frequency. The force exerted by the fluid on the finite core can be expressed as a sum of dissipative and Magnus forces for sufficiently low frequencies, even when the core is small.
Cite
@article{arxiv.cond-mat/0211424,
title = {Vortex dynamics in the nonlinear Schrodinger equation},
author = {Michael J. Quist},
journal= {arXiv preprint arXiv:cond-mat/0211424},
year = {2009}
}
Comments
6 pages, 4 figures