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arXiv · 1902.09431

The umbral--penumbral boundary in sunspsots in the context of magneto-convection

D. J. Mullan·J. MacDonald
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Abstract

Jurcak et al (2018) have reported that, in a sample of more than 100 umbral cores in sunspots, the umbral-penumbral boundary (UPB) is characterized by a remarkably narrowly-defined numerical value (1867 G) of the vertical component of the magnetic field. Gough and Tayler (1966), in their study of magneto-convection, showed that the onset of convection in the presence of a magnetic field is controlled by a parameter {\delta} which also depends on the vertical component of the field. Combining the Jurcak et al result with various empirical models of sunspots leads us to propose the following hypothesis: the UPB occurs where the vertical field is strong enough to increase the effective adiabatic temperature gradient by at least 100% above its non-magnetic value.

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D. J. Mullan, J. MacDonald. 2019-02-25. The umbral--penumbral boundary in sunspsots in the context of magneto-convection. https://doi.org/10.3847/2041-8213/ab0a0f

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