A nonlinear dynamo wave riding on a spatially varying background.

Details A nonlinear dynamo wave riding on a spatially varying background. A nonlinear dynamo wave riding on a spatially varying background.

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999rspsa.455.1443b&link_type=abstract

Proc. R. Soc. London, Ser. A, Vol. 455, No. 1984, p. 1443 - 1481

Physics

17

Dynamo Theory: Sun, Dynamo Theory: Stars

Scientific paper

A systematic asymptotic investigation of a pair of coupled nonlinear one-dimensional amplitude equations, which provide a simplified model of solar and stellar magnetic activity cycles, is presented. Specifically, an αΩ-dynamo in a thin shell of small gap-to-radius ratio ɛ (≪1) is considered, in which the Ω-effect - the differential rotation - is prescribed but the α-effect is quenched by the finite-amplitude magnetic field. The unquenched system is characterized by a latitudinally θ-dependent dynamo number D, with a symmetric single-hump profile, which vanishes at both the pole, θ = π/2, and the equator, θ = 0, and has a maximum, D, at mid-latitude, θM = π/4.

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