Publication Abstracts

Deinzer 1965

Deinzer, W., 1965: On the magneto-hydrostatic theory of sunspots. Astrophys. J., 141, 548-563, doi:10.1086/148144.

Theoretical sunspot models are constructed which are a generalization of those considered by Schlüter and Temesvary (1958). A non-vanishing horizontal component of the pressure gradient, as required by magneto-hydrostatic equilibrium, is obtained by assuming that a magnetic field in the solar hydrogen convection zone (HCZ) inhibits the convective-energy transport. In the framework of Prandtl's mixinglength theory, this is achieved by making the ratio of the mixing length, l, and the pressure scale height, H, smaller in the magnetic-field region than in the surrounding undisturbed HCZ.

The corresponding system of ordinary differential equations was solved numerically, and pressure, temperature, and magnetic-field strength along the axis of symmetry were obtained. When l/H ranges from zero to (l/H)HCZ a one-parameter family of solutions results; in the one extreme convective-energy transport is completely suppressed; in the other extreme there is no inhibition of convective-energy transport. From this family of models, relations between the coolness of a spot and its magnetic-field strength and between the magnetic-field strength and l/H are derived. The former relation agrees with observations to within 50 per cent; the latter indicates a maximum possible field strength of about 5000 gauss.

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BibTeX Citation

@article{de03400p,
  author={Deinzer, W.},
  title={On the magneto-hydrostatic theory of sunspots},
  year={1965},
  journal={Astrophysical Journal},
  volume={141},
  pages={548--563},
  doi={10.1086/148144},
}

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RIS Citation

TY  - JOUR
ID  - de03400p
AU  - Deinzer, W.
PY  - 1965
TI  - On the magneto-hydrostatic theory of sunspots
JA  - Astrophys. J.
JO  - Astrophysical Journal
VL  - 141
SP  - 548
EP  - 563
DO  - 10.1086/148144
ER  -

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