An analysis of the hydromagnetic dynamo using perturbation theory

Details An analysis of the hydromagnetic dynamo using perturbation theory An analysis of the hydromagnetic dynamo using perturbation theory

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982zhetf..82..709b&link_type=abstract

Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 82, Mar. 1982, p. 709-724. In Russian.

Physics

Dynamo Theory, Geomagnetism, Magnetohydrodynamics, Perturbation Theory, Planetary Magnetic Fields, Conducting Fluids, Green'S Functions, Kinematic Equations, Magnetic Field Configurations

Scientific paper

Integral equations are set up describing the kinematic planetary dynamo. On the basis of these equations, a procedure for calculating the characteristics of the field with the aid of perturbation theory is proposed. A Green function for an unperturbed equation that includes axisymmetric differential rotation is set up. In analyzing the perturbation theory series, a particular case is singled out wherein the damping factor of axisymmetric toroidal and poloidal dipoles degenerates. For a theory governing a series of models, estimates are given of the generation conditions and the values of the observed characteristics of the geomagnetic field.

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