Hamiltonian dynamics of two same-sign point vortices

Anderson Murray, Andrew Groszek, Pekko Kuopanportti, Tapio Simula

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9 Citations (Scopus)

Abstract

We have studied numerically the Hamiltonian dynamics of two same-sign point vortices in an effectively two-dimensional, harmonically trapped Bose-Einstein condensate. We have found in the phase space of the system an impenetrable wall that divides the dynamics into two distinct and exhaustive types. In the two-dimensional position-coordinate space, the first type corresponds to intersecting single-vortex orbits and the second type to orbits that have no points in common. The two types are also easily distinguished in the two-dimensional space spanned by the radial and angular velocities of the vortices: In the first type, both single-vortex orbits are the same simple loop in this two-dimensional space, whereas in the second type the two orbits constitute two nonintersecting loops. The phase-space-dividing wall is distinct from the bifurcation curve of rigidly rotating states found by Navarro et al.

Original languageEnglish
Article number033649
Number of pages8
JournalPhysical Review A
Volume93
Issue number3
DOIs
Publication statusPublished - 29 Mar 2016

Cite this

Murray, A., Groszek, A., Kuopanportti, P., & Simula, T. (2016). Hamiltonian dynamics of two same-sign point vortices. Physical Review A, 93(3), [033649]. https://doi.org/10.1103/PhysRevA.93.033649