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Lookup NU author(s): Professor Anvar ShukurovORCiD, Professor Dmitry Sokoloff, Professor Andrew Soward
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We reconsider thin-disc global asymptotics for kinematic, axisymmetric mean-field dynamos with vacuum boundary conditions. Non-local terms arising from a small but finite radial field component at the disc surface are consistently taken into account for quadrupole modes. As in earlier approaches, the solution splits into a local part describing the field distribution along the vertical direction and a radial part describing the radial (global) variation of the eigenfunction. However, the radial part of the eigenfunction is now governed by an integro-differential equation whose kernel has a weak (logarithmic) singularity. The integral term arises from non-local interactions of magnetic fields at different radii through vacuum outside the disc. The non-local interaction can have a stronger effect on the solution than the local radial diffusion in a thin disc, however the effect of the integral term is still qualitatively similar to magnetic diffusion.
Author(s): Priklonsky V, Shukurov A, Sokoloff D, Soward A
Publication type: Article
Publication status: Published
Journal: Geophysical and Astrophysical Fluid Dynamics
Year: 2000
Volume: 93
Issue: 1-2
Pages: 97-114
Print publication date: 01/01/2000
ISSN (print): 0309-1929
ISSN (electronic): 1026-7506
Publisher: Taylor & Francis
URL: http://dx.doi.org/10.1080/03091920008203723
DOI: 10.1080/03091920008203723
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