The dynamo bifurcation in rotating spherical shells

Details The dynamo bifurcation in rotating spherical shells The dynamo bifurcation in rotating spherical shells

2010-06-06

arxiv.org/abs/1006.1144v1

International Journal of Modern Physics B, vol 23, Nos 28 & 29 (2009) p. 5467-5482

Physics

Geophysics

16 pages, 14 figures

Scientific paper

10.1142/S021797920906378X

We investigate the nature of the dynamo bifurcation in a configuration applicable to the Earth's liquid outer core, i.e. in a rotating spherical shell with thermally driven motions. We show that the nature of the bifurcation, which can be either supercritical or subcritical or even take the form of isola (or detached lobes) strongly depends on the parameters. This dependence is described in a range of parameters numerically accessible (which unfortunately remains remote from geophysical application), and we show how the magnetic Prandtl number and the Ekman number control these transitions.

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