Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion

Details Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion

2003-09-24

arxiv.org/abs/astro-ph/0309666v1

Geophys.Astrophys.Fluid Dynamics 93 (2003) 97-114

Astronomy and Astrophysics

Astrophysics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-local effects in the mean-field disc dynamo. I. An asymptotic expansion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509612