Geometrical properties of sine-Gordon Abelian Higgs sunspots.

Computer Science

Scientific paper

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Sunspots: Models

Scientific paper

The author discusses a slightly modified Abelian Higgs model of sunspots in which the potential term V(Φ) has a 'sine-Gordon'-like form, V(Φ) = -(α/β2)[1-sinβ(ΦΦ*)k]. The model accounts not only for the observed diversity of the absolute dimensions of sunspots, but is also compatible with a more-or-less constant value of their penumbra-to-umbra radius ratios provided the parameter k is close to unity.

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