Vortex dynamics in the nonlinear Schrodinger equation

Details Vortex dynamics in the nonlinear Schrodinger equation Vortex dynamics in the nonlinear Schrodinger equation

2002-11-20

arxiv.org/abs/cond-mat/0211424v1

M. J. Quist, Phys. Rev. B 60, 4240 (1999)

Physics

Condensed Matter

6 pages, 4 figures

Scientific paper

10.1103/PhysRevB.60.4240

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.

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