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Lookup NU author(s): Dr Luca Galantucci,
Dr Michele Sciacca,
Dr Nick Parker,
Dr Andrew Baggaley,
Professor Carlo Barenghi
This is the authors' accepted manuscript of an article that has been published in its final definitive form by Cambridge University Press, 2021.
For re-use rights please refer to the publisher's terms and conditions.
The leapfrogging of coaxial vortex rings is a famous effect which has been noticed since the times of Helmholtz. Recent advances in ultra-cold atomic gases show that the effect can now be studied in quantum fluids. The strong confinement which characterises these systems motivates the study of leapfrogging of vortices within narrow channels. Using the two-dimensional point vortex model, we show that in the constrained geometry of a two-dimensional channel the dynamics is richer than in an unbounded domain: alongside the known regimes of standard leapfrogging and the absence of it, we identify new regimes of image-driven leapfrogging and periodic orbits. Moreover, by solving the Gross–Pitaevskii equation for a Bose–Einstein condensate, we show that all four regimes exist for quantum vortices too. Finally, we discuss the differences between classical and quantum vortex leapfrogging which appear when the quantum healing length becomes significant compared to the vortex separation or the channel size, and when, due to high velocity, compressibility effects in the condensate becomes significant.
Author(s): Galantucci L, Sciacca M, Parker N, Baggaley A, Barenghi C
Publication type: Article
Publication status: Published
Journal: Journal of Fluid Mechanics
Print publication date: 10/04/2021
Online publication date: 05/02/2021
Acceptance date: 01/12/2020
Date deposited: 10/02/2021
ISSN (print): 0022-1120
ISSN (electronic): 1469-7645
Publisher: Cambridge University Press
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