Year: 2009
Type: article
Abstract: Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrödinger equations. The higher order nonlinearity present in such systems models many-body interactions in superfluid systems and allows one to study the effects of negative pressure on vortex dynamics. We find the critical pressure for which the straight-line vortex becomes unstable to radial expansion of the core. The energy of the straight-line vortices and energy, impulse and velocity of vortex rings are calculated. The effect of a varying pressure on the vortex core is studied. It is shown that under the action of the periodically varying pressure field a vortex ring may split into many vortex rings and the conditions for which this happens are elucidated. These processes are also relevant to experiments in Bose–Einstein condensates where the strength and the sign of two-body interactions can be changed via Feshbach resonance.
Source: Fluid Dynamics Research
Author: Natalia G Berloff
Institution: University of Cambridge
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5007707147
OpenAlex ID: W2151319231