Vortex dynamics in the nonlinear Schrodinger equation
arXiv:cond-mat/0211424 · doi:10.1103/PhysRevB.60.4240
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.
6 pages, 4 figures