Topology of the magnetic field and geomagnetism.
Abstract
We define the topology of an (axisymmetric) magnetic field, a set of qualitative labels characterizing the connectivity of the lines of force. Under the special continuous deformations of theBfield defined by time evolution under the dynamo equation in the ‘convective’ regime (where the frozenin behavior dominates the diffusion), this topology is preserved. This theorem should have applications to the study of timevarying magnetic fields in that regime in the case that exact or even approximate solutions are difficult to obtain. A partial generalization to the general case of convection and diffusion is made. As an application, a critique of Hibberd's recent theory of a timedependent axisymmetric geomagnetic dynamo whose dipolelike field undergoes successive reversals is given.
 Publication:

Astrophysics and Space Science
 Pub Date:
 July 1981
 DOI:
 10.1007/BF00649471
 Bibcode:
 1981Ap&SS..77..455I
 Keywords:

 Dynamo Theory;
 Geomagnetism;
 Magnetic Field Configurations;
 Topology;
 Earth Surface;
 Interstellar Magnetic Fields;
 Lines Of Force;
 Neutral Currents;
 Telluric Currents;
 Geophysics;
 Dynamo Theory:Geomagnetic Field