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Condensed Matter > Other Condensed Matter

arXiv:1404.4922 (cond-mat)
[Submitted on 19 Apr 2014]

Title:Scattering and leapfrogging of vortex rings in a superfluid

Authors:R. M. Caplan, J. D. Talley, R. Carretero-Gonzalez, P.G. Kevrekidis
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Abstract:The dynamics of vortex ring pairs in the homogeneous nonlinear Schrödinger equation is studied. The generation of numerically-exact solutions of traveling vortex rings is described and their translational velocity compared to revised analytic approximations. The scattering behavior of co-axial vortex rings with opposite charge undergoing collision is numerically investigated for different scattering angles yielding a surprisingly simple result for its dependence as a function of the initial vortex ring parameters. We also study the leapfrogging behavior of co-axial rings with equal charge and compare it with the dynamics stemming from a modified version of the reduced equations of motion from a classical fluid model derived using the Biot-Savart law.
Comments: 12 pages, 11 figures
Subjects: Other Condensed Matter (cond-mat.other); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1404.4922 [cond-mat.other]
  (or arXiv:1404.4922v1 [cond-mat.other] for this version)
  https://doi.org/10.48550/arXiv.1404.4922
Journal reference: Phys. Fluids 26 (2014) 097101
Related DOI: https://doi.org/10.1063/1.4894745

Submission history

From: Ricardo Carretero [view email]
[v1] Sat, 19 Apr 2014 04:32:42 UTC (1,353 KB)
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