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Ballooning instability and oscillations of coronal loops

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Abstract

The excitation of the ballooning instability by the eigenoscillations of coronal loops is analyzed using the energy method. The second variation of the potential energy for the case of a plasma—plasma boundary is obtained via the linearized ideal MHD equations. It is shown that the eigenmodes of a magnetic tube and of a toroidal coronal loop coincide in a first approximation. The bending oscillations of the loops are able to excite the ballooning instability when β ≪ 1. The effects of the instability in solar coronal loops are discussed.

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Authors and Affiliations

  1. Crimean Astrophysical Observatory, National Academy of Sciences of Ukraine, p/o Nauchnyĭ, Crimea, 334413, Ukraine

    Yu. T. Tsap

  2. Pulkovo Observatory, Russian Academy of Sciences, Pulkovskoe shosse 65, St. Petersburg, 196140, Russia

    Yu. G. Kopylova & A. V. Stepanov

Authors
  1. Yu. T. Tsap
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  2. Yu. G. Kopylova
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  3. A. V. Stepanov
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Additional information

Original Russian Text © Yu.T. Tsap, Yu.G. Kopylova, A.V. Stepanov, 2006, published in Astronomicheskiĭ Zhurnal, 2006, Vol. 83, No. 12, pp. 1142–1152.

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Tsap, Y.T., Kopylova, Y.G. & Stepanov, A.V. Ballooning instability and oscillations of coronal loops. Astron. Rep. 50, 1026–1035 (2006). https://doi.org/10.1134/S1063772906120079

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  • DOI: https://doi.org/10.1134/S1063772906120079

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