The temperature variation across the boundary of dark spots on the solar surface

Details The temperature variation across the boundary of dark spots on the solar surface The temperature variation across the boundary of dark spots on the solar surface

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993soph..148...65d&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 148, no. 1, p. 65-84

Physics

Diffusion, Energy Transfer, Magnetic Field Configurations, Solar Magnetic Field, Stellar Models, Sunspots, Temperature Distribution, Boundary Value Problems, Conformal Mapping, Penumbras, Photosphere, Thermal Conductivity, Umbras

Scientific paper

We suppose the transport of energy in a sunspot (or pore) is described by a diffusion process. The thermal conductivities in the spot and its surroundings are assumed to be constant and isotropic, but with a reduced conductivity in the spot. The sunspot and the ambient medium are represented by semi-infinite strips of variable depth, with one common boundary. This interface is a plane inclined at an arbitrary angle with respect to the vertical in order to simulate the inclined magnetic field at the umbral/penumbral, penumbral/photospheric or pore/photospheric boundary. We show that the region with high conductivity below the interface produces a thermal disturbance in the surface layers of the umbra which manifests itself as a temperature enhancement at the umbral surface in a region near the boundary, resulting in a decreased temperature contrast across the surface. The thermal disturbance in the neighboring medium is confined to a very small region.

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