The temperature variation across the boundary of dark spots on the solar surface
- 30 Downloads
Abstract
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.
Keywords
Magnetic Field Thermal Conductivity Surface Layer Temperature Variation Diffusion ProcessPreview
Unable to display preview. Download preview PDF.
References
- Biermann, L.: 1941,Vierteljahresschr. Astron. Ges. 76, 194.Google Scholar
- Carslaw, H. S. and Jaeger, J. C.: 1959,Conduction of Heat in Solids, Oxford University Press, Oxford.Google Scholar
- Clar, A.: 1979,Solar Phys. 62, 305.Google Scholar
- Cowling, T. G.: 1976,Monthly Notices Roy. Astron. Soc. 177, 409.Google Scholar
- Danielson, R. E.: 1961,Astrophys. J. 134, 275.Google Scholar
- Eschrich, K. O. and Krause, F.: 1977,Astron. Nachr. 298, 1.Google Scholar
- Foukal, P., Fowler, L. A., and Livshits, M.: 1983,Astrophys. J. 267, 863.Google Scholar
- Jahn, K.: 1989,Astron. Nachr. 222, 264.Google Scholar
- Kober, H.: 1957,Dictionary of Conformal Representations, Dover Publications.Google Scholar
- Krook, M. and Budianski, B.: 1986,Astrophys. J. 308, 966.Google Scholar
- Margolis, S. H. and Knobloch, E.: 1980,Monthly Notices Roy Astron. Soc. 193, 345.Google Scholar
- Morse, P. M. and Feshbach, H.: 1953,Methods of Theoretical Physics, McGraw-Hill, New York.Google Scholar
- Muller, R.: 1973,Solar Phys. 29, 55.Google Scholar
- Muller, R.: 1992, in N. O. Weiss and J. H. Thomas (eds.),Sunspots: Theory and Observations, Kluwer Academic Publishers, Dordrecht, Holland, p. 175.Google Scholar
- Parker, E. N.: 1974,Solar Phys. 36, 249.Google Scholar
- Pizzo, V. J.: 1986,Astrophys. J. 302, 785.Google Scholar
- Sattarov, I.: 1980,Astron. Zh. 57, 610.Google Scholar
- Solanki, S. K. and Schmidt, H. U.: 1993,Astron. Astrophys. 267, 287.Google Scholar
- Solanki, S. K., Walther, U., and Livingston, W.: 1993,Astron. Astrophys. (submitted).Google Scholar
- Spruit, H. C.: 1977,Solar Phys. 55, 3.Google Scholar
- Spruit, H. C.: 1982a,Astron. Astrophys. 108, 348.Google Scholar
- Spruit, H. C.: 1982b,Astron. Astrophys. 108, 356.Google Scholar
- Spruit, H. C.: 1992, in N. O. Weiss and J. H. Thomas (eds.),Sunspots: Theory and Observations, Kluwer Academic Publishers, Dordrecht, Holland, p. 163.Google Scholar
- Thomas, J. H.: 1992, in N. O. Weiss and J. H. Thomas (eds.),Sunspots: Theory and Observations, Kluwer Academic Publishers, Dordrecht, Holland, p. 3.Google Scholar