On the Stability of Solar Photospheric Magnetic Flux Tubes

  • Akitsugu Takeuchi

Abstract

In the quiet solar photosphere, most of the magnetic flux is in the form of small-scale intense magnetic flux tubes. It is believed that the intense flux tubes are formed by the convective collapse, which is a kind of the convective instability in a magnetic flux tube. Thus, the nature of the instability has been investigated by many authors. From linear theory it was found that the stability is determined by β (the ratio of gas pressure to magnetic pressure in the flux tube); if β < β c the tube is convectively stable, otherwise it is unstable (Spruit, Zweibel 1979). Moreover, Takeuchi (1993) showed that a weak flux tube (β > β c) evolves into an intense flux tube (β < β c) in a static equilibrium, due to the convective collapse, carrying out the nonlinear calculations. However, he adopted the adiabatic approximation which is not valid in the photospheric region. Thus, we investigated the nonlinear and the long term evolution of the convective instability in a weak flux tube, adopting thin flux-tube approximation (Roberts, Webb 1978). The radiative heat exchange was iaken into account adopting Newton’s law of cooling.

Keywords

Magnetic Flux Flux Tube Convective Instability Magnetic Pressure Adiabatic Approximation 
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.

References

  1. Roberts B., Webb A.R. 1978, Sol. Phys. 56, 5ADSCrossRefGoogle Scholar
  2. Schüssler M. 1990, in Solar Photosphere: Structure, Convection and Magnetic Fields, IAU Symp No.138 ed J.O.Stenflo (Kluwer Academic Publishers, Dordrecht) pl61Google Scholar
  3. Spruit H.C., Zweibel E.G. 1979, Sol. Phys. 62, 15ADSCrossRefGoogle Scholar
  4. Takeuchi A. 1993, PASJ 45, 811ADSGoogle Scholar
  5. Takeuchi A. 1995, PASJ 47, 331ADSGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Akitsugu Takeuchi
    • 1
  1. 1.Yonago National College of TechnologyYonagoJapan

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