Effects of System Geometry on the Dynamics of Ideal Point Vortices in a Two-Dimensional Quantum Gas
نویسنده
چکیده
A Lagrangian describing a gas of ideal pointlike vortices interacting with a quantum gas of spin-0 particles confined in an infinite or finite subset of R2 is derived. Singleand two-vortex dynamics is studied in the special case of a homogeneous gas in infinite and finite systems. Special attention is given to the case of the annulus (ring) for which new analytic and numerical solutions are found. We define the concept of stability radius for singleand two-vortex systems and see that the existence of these radii has great impact on the behaviour of the vortices in the annulus. It is shown that the vortex-vortex pair and the vortex-antivortex pair can display many similar types of solutions because of the existence of the stability radii. Especially an analytic corotating solution similar to the case of a vortex-vortex pair in R2 exist both for the vortex-vortex and vortex-antivortex pair.
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