The possibility of magnetic field generation in the presence of a nonuniform conductivity distribution. III

Details The possibility of magnetic field generation in the presence of a nonuniform conductivity distribution. III The possibility of magnetic field generation in the presence of a nonuniform conductivity distribution. III

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ge%26ae..21..531b&link_type=abstract

Geomagnetizm i Aeronomiia, vol. 21, May-June 1981, p. 531-535. In Russian.

Physics

Dynamo Theory, Electrical Resistivity, Geomagnetism, Magnetic Diffusion, Nonuniform Magnetic Fields, Telluric Currents, Current Distribution, Diffusion Coefficient, Earth Core, Velocity Distribution

Scientific paper

Consideration is given to the problem of the terrestrial dynamo for various specific velocity distributions with magnetic diffusion coefficients varying as a function of radius. Magnetic field generation is analyzed for the cases of a velocity distribution for which rot (v(r)D(r)-inverse) = 0, where v(r) is the velocity distribution and D(r) is the magnetic diffusion coefficient as functions of radius, a velocity distribution corresponding to the sum of the purely toroidal velocity field and radial motion independent of angle, and arbitrary radial motion possible under null boundary conditions on the velocity at the surface of the liquid core. Theorems demonstrating the impossibility of magnetic field generation under the given conditions are obtained. It is pointed out that the factor accounting for the impossibility of magnetic field generation in the first case is the independence of the magnetic diffusion coefficient of angular position, supporting the hypothesis that magnetic field generation is related to angular nonuniformities in the internal structure of the earth.

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