Turbulent transport of magnetic fields. III - Stochastic excitation of global magnetic modes

Computer Science – Numerical Analysis

Scientific paper

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Coronal Holes, Dynamo Theory, Magnetic Fields, Rotating Fluids, Stochastic Processes, Turbulent Flow, Eigenvectors, Lorentz Force, Numerical Analysis, Shear Flow

Scientific paper

Studies outlining how the role of fluctuation in the turbulent convection can be analyzed with ensemble averages are reviewed and the relation between the observed magnetic field and the ensemble average magnetic field is solved by expanding the observed field in terms of eigenfunctions of the dynamo equation. The effect of the fluctuations is shown to take the form of stochastic excitation of all eigenmodes of the dynamo equation, rather than steady excitation of only the fundamental eigenmode, as in traditional dynamo models. The solar dynamo is considered and the occurrence of coronal holes and of field reversals in the earth's dynamo are discussed. A comparison is made between this problem and the problem of scalar transport.

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