The Role of absolute instability in the solar dynamo.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Mhd, Sun: Magnetic Fields, Dynamo

Scientific paper

The presence of the equator and poles has a profound effect on the critical dynamo number D_f_ for the onset of dynamo waves and their subsequent nonlinear evolution. The instability threshold is associated with the onset of absolute instability, which is necessary for the existence of a globally unstable mode. With increasing D the waves become very rapidly nonlinear and the region of activity extends to higher and higher latitudes. The wave frequency is selected in the polar regions where the mode amplitude is small. Secondary absolute instabilities lead to the coexistence of waves with different wavenumbers, frequencies and amplitudes at different latitudes.

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