Solar Physics

, Volume 148, Issue 1, pp 65–84 | Cite as

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

  • Detlev Degenhardt
Article
  • 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 Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Biermann, L.: 1941,Vierteljahresschr. Astron. Ges. 76, 194.Google Scholar
  2. Carslaw, H. S. and Jaeger, J. C.: 1959,Conduction of Heat in Solids, Oxford University Press, Oxford.Google Scholar
  3. Clar, A.: 1979,Solar Phys. 62, 305.Google Scholar
  4. Cowling, T. G.: 1976,Monthly Notices Roy. Astron. Soc. 177, 409.Google Scholar
  5. Danielson, R. E.: 1961,Astrophys. J. 134, 275.Google Scholar
  6. Eschrich, K. O. and Krause, F.: 1977,Astron. Nachr. 298, 1.Google Scholar
  7. Foukal, P., Fowler, L. A., and Livshits, M.: 1983,Astrophys. J. 267, 863.Google Scholar
  8. Jahn, K.: 1989,Astron. Nachr. 222, 264.Google Scholar
  9. Kober, H.: 1957,Dictionary of Conformal Representations, Dover Publications.Google Scholar
  10. Krook, M. and Budianski, B.: 1986,Astrophys. J. 308, 966.Google Scholar
  11. Margolis, S. H. and Knobloch, E.: 1980,Monthly Notices Roy Astron. Soc. 193, 345.Google Scholar
  12. Morse, P. M. and Feshbach, H.: 1953,Methods of Theoretical Physics, McGraw-Hill, New York.Google Scholar
  13. Muller, R.: 1973,Solar Phys. 29, 55.Google Scholar
  14. 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
  15. Parker, E. N.: 1974,Solar Phys. 36, 249.Google Scholar
  16. Pizzo, V. J.: 1986,Astrophys. J. 302, 785.Google Scholar
  17. Sattarov, I.: 1980,Astron. Zh. 57, 610.Google Scholar
  18. Solanki, S. K. and Schmidt, H. U.: 1993,Astron. Astrophys. 267, 287.Google Scholar
  19. Solanki, S. K., Walther, U., and Livingston, W.: 1993,Astron. Astrophys. (submitted).Google Scholar
  20. Spruit, H. C.: 1977,Solar Phys. 55, 3.Google Scholar
  21. Spruit, H. C.: 1982a,Astron. Astrophys. 108, 348.Google Scholar
  22. Spruit, H. C.: 1982b,Astron. Astrophys. 108, 356.Google Scholar
  23. 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
  24. 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

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Detlev Degenhardt
    • 1
    • 2
  1. 1.High Altitude ObservatoryNational Center for Atmospheric ResearchBoulderUSA
  2. 2.Universitäts-SternwarteGöttingenGermany

Personalised recommendations