Abstract
A hyperbolic flux-tube configuration containing a null point below the flux rope is considered as a pre-eruptive state of coronal mass ejections that start simultaneously with flares. We demonstrate that this configuration is unstable and cannot exist for a long time in the solar corona. The inference follows from general equilibrium conditions and from analyzing simple models of the flux-rope equilibrium. A direct consequence of the stable flux-rope equilibrium in the corona are separatrices in the horizontal-field distribution in the chromosphere. They can be recognized as specific “herring-bone structures” in a chromospheric fibril pattern.
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Anzer, U., Priest, E.: 1985, Solar Phys. 95, 263. ADS: 1985SoPh...95..263A , doi: 10.1007/BF00152404 .
Bateman, G.: 1978, MHD Instabilities, MIT, Cambridge.
Démoulin, P., Aulanier, G.: 2010, Astrophys. J. 718, 1388.
Démoulin, P., Priest, E.R.: 1988, Astron. Astrophys. 206, 336.
Filippov, B.P.: 1994, Astron. Lett. 20, 665.
Filippov, B.P.: 1995, Astron. Astrophys. 303, 242.
Filippov, B.P., Gopalswamy, N., Lozhechkin, A.V.: 2001, Solar Phys. 203, 119. ADS: 2001SoPh..203..119F , doi: 10.1023/A:1012754329767 .
Forbes, T.G., Isenberg, P.A.: 1991, Astrophys. J. 373, 294.
Foukal, P.: 1971, Solar Phys. 19, 59. ADS: 1971SoPh...19...59F , doi: 10.1007/BF00148824 .
Gaizauskas, V., Zirker, J.B., Sweetland, C., Kovacs, A.: 1997, Astrophys. J. 479, 448.
Hood, A.W., Priest, E.R.: 1980, Solar Phys. 66, 113. ADS: 1980SoPh...66..113H , doi: 10.1007/BF00150523 .
Kliem, B., Török, T.: 2006, Phys. Rev. Lett. 96, 255002.
Kliem, B., Török, T., Forbes, T.G.: 2011, In: Tziotziou, K., Gontikakis, C. (eds.) ESPM-13 Programme and Abstract Book, EPS, Mulhouse, 68.
Kuperus, M., Raadu, M.A.: 1974, Astron. Astrophys. 31, 189.
Landau, L.D., Lifshitz, E.M., Pitaevsky, L.P.: 1984, Electrodynamics of Continuous Media, 2nd edn., Pergamon Press, Oxford.
Leroy, J.-L.: 1989, In: Priest, E.R. (ed.) Dynamics and Structure of Quiescent Solar Prominences, Kluwer, Dordrecht, 77.
Lin, J., Forbes, T.G., Isenberg, P.A., Démoulin, P.: 1998, Astrophys. J. 504, 1006.
López Ariste, A., Aulanier, G., Schmieder, B., Sainz Dalda, A.: 2006, Astron. Astrophys. 456, 725.
Malherbe, J.M., Priest, E.R.: 1983, Astron. Astrophys. 123, 80.
Martens, P.C.H., Kuin, N.P.M.: 1989, Solar Phys. 122, 263. ADS: 1989SoPh..122..263M , doi: 10.1007/BF00912996 .
Martin, S.F.: 1998, Solar Phys. 182, 107. ADS: 1998SoPh..182..107M , doi: 10.1023/A:1005026814076 .
Martres, M.J., Michard, R., Soru-Escout, I.: 1966, Ann. Astrophys. 29, 249.
Molodenskii, M.M., Filippov, B.P.: 1987, Soviet Astron. 31, 564.
Molodenskii, M.M., Filippov, B.P.: 1989, Soviet Astron. 33, 540.
Molodensky, M.M.: 1974, Solar Phys. 39, 393. ADS: 1974SoPh...39..393M , doi: 10.1007/BF00162432 .
Paletou, F., Aulanier, G.: 2003, In: Trujillo Bueno, J., Sánchez Almeida, J. (eds.) Solar Polarization Workshop 3 CS-236, Astron. Soc. Pac., San Francisco, 458.
Pneuman, G.W.: 1983, Solar Phys. 88, 219. ADS: 1983SoPh...88..219P , doi: 10.1007/BF00196189 .
Priest, E.R.: 1990 In: Dynamics of Quiescent Prominences, Lecture Notes in Physics 363, Springer, Berlin, 150.
Priest, E.R., Forbes, T.G.: 1990, Solar Phys. 126, 319. ADS:1990SoPh..126..319P , doi: 10.1007/BF00153054 .
Titov, V.S., Priest, E.R., Démoulin, P.: 1993, Astron. Astrophys. 276, 564.
Titov, V.S., Hornig, G., Démoulin, P.: 2002, J. Geophys. Res. 107. doi: 10.1029/2001JA000278 .
Van Tend, W., Kuperus, M.: 1978, Solar Phys. 59, 115. ADS: 1978SoPh...59..115T , doi: 10.1007/BF00154935 .
Zhang, J., Dere, K.P., Howard, R.A., Kundu, M.R., White, S.M.: 2001, Astrophys. J. 559, 452.
Zirin, H.: 1972, Solar Phys. 22, 34. ADS: 1972SoPh...22...34Z , doi: 10.1007/BF00145459 .
Acknowledgements
I thank the New Jersey Institute of Technology/Big Bear Solar Observatory and the Global High Resolution H Network for providing the data archive. Many thanks to the anonymous referee for constructive comments. This work was supported in part by the Russian Foundation for Basic Research (grants 12-02-00008 and 12-02-92692) and the Program # 22 of the Russian Academy of Sciences.
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Filippov, B. Electric Current Equilibrium in the Corona. Sol Phys 283, 401–411 (2013). https://doi.org/10.1007/s11207-013-0253-4
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DOI: https://doi.org/10.1007/s11207-013-0253-4