Other
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995magn...31...18s&link_type=abstract
Magnetohydrodynamics, Vol. 31, No. 1 - 2, p. 18 - 37
Other
Dynamo Theory: Magnetic Fields, Dynamo Theory: Solar Magnetic Fields, Dynamo Theory: Solar Convective Zone
Scientific paper
The authors discuss the properties of a dynamo wave in a solar convective shell that is produced by an αω-dynamo. A nonlinear αω-dynamo with α-quenching is considered. The authors use the approximation of very large dynamo numbers, |D| ≫ 1, and construct the asymptotic solution of the nonlinear dynamo equations. This solution depends crucially on whether or not the mean helicity α, as a function of B, has a positive root (here B is the mean magnetic field). When such a root exists, the field value is of order B0, the level of magnetic field at which the nonlinear effects are essential. Otherwise the strength of the magnetic field in the dynamo wave is much larger than B0. The authors demonstrate the possibility of two types of solution, with zero and nonzero mean levels of magnetic field in the dynamo wave and consider the bifurcation between these types of solutions. They compare their results with the results of computer simulations of a solar dynamo and observations of the solar magnetic field.
Fioc Michel
Nesme-Ribes Elizabeth
Sokoloff Dimitry
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