Nonlinear Solar Dynamo Models with Magnetic Back-Reactions

Details Nonlinear Solar Dynamo Models with Magnetic Back-Reactions Nonlinear Solar Dynamo Models with Magnetic Back-Reactions

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phdt..........r&link_type=abstract

PhD Thesis, PB98-172018; NCAR/CT-164 ; Dept. of Physics and Astronomy; Office of Program

Physics

Atomic Physics

2

Nonlinearity, Dynamo Theory, Solar Physics, Cartesian Coordinates, Energy Conservation, Partial Differential Equations, Sun, Solar Magnetic Field, Solar Convection (Astronomy), Quenching (Atomic Physics), Mathematical Models, Branching (Mathematics)

Scientific paper

The author examines a series of nonlinear alpha-omega models in one and two dimensions. Extensive bifurcation diagrams are computed for a pair of 1D, modified-Cartesian models, one with quenching of alpha, the other, of alpha-omega models. Both are quenched dynamically, via PDEs derived under consideration of conservation of energy. The two models produce dramatically different results, with omega quenching producing a somewhat better match to the Sun. Next, a generalization of the ID dynamical omega-quenching model is derived, having two parallel 1D layers. One is placed in the convection zone, and has only an alpha affect; the other is placed in the tachocline and has only an omega effect.

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