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Non-local effects in the mean-field disc dynamo I. An asymptotic expansionстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Priklonsky V., Shukurov A., Sokoloff D., Soward A.
- Журнал: Geophysical and Astrophysical Fluid Dynamics
- Том: 93
- Год издания: 2000
- Издательство: Taylor & Francis
- Местоположение издательства: United Kingdom
- Первая страница: 97
- Последняя страница: 114
- DOI: 10.1080/03091920008203723
- Аннотация: 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. --------------------------------------------------------------------------------
- Добавил в систему: Соколов Дмитрий Дмитриевич