Thermal models of sunspots

Physics

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Magnetic Effects, Stellar Models, Sunspots, Thermodynamic Properties, Asymptotic Methods, Field Strength, Half Spaces, Solar Magnetic Field, Surface Temperature

Scientific paper

The paper examines simple thermal models of sunspots based on the concept of partial inhibition of convection by strong magnetic fields. The simplicity of the present model allows a detailed study of the dependence of solutions of the heat equation on the spot parameters, such as the depth of the region in which convection is inhibited. The most important results from the model are: (1) the edge of the umbra is sharp, even for deep spots, (2) deep spots produce weak bright rings in the surrounding atmosphere whereas shallow spots produce intense rings which are difficult to reconcile with observations, and (3) only a surface layer of a spot, with thickness of the order of the temperature scale height, is cool.

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