Solar Physics

, Volume 260, Issue 2, pp 321–346 | Cite as

A Non-Linear Force-Free Field Model for the Evolving Magnetic Structure of Solar Filaments

Article

Abstract

In this paper the effect of a small magnetic element approaching the main body of a solar filament is considered through non-linear force-free field modeling. The filament is represented by a series of magnetic dips. Once the dips are calculated, a simple hydrostatic atmosphere model is applied to determine which structures have sufficient column mass depth to be visible in Hα. Two orientations of the bipole are considered, either parallel or anti-parallel to the overlying arcade. The magnetic polarity that lies closest to the filament is then advected towards the filament. Initially for both the dominant and minority polarity advected elements, right/left bearing barbs are produced for dextral/sinsitral filaments. The production of barbs due to dominant polarity elements is a new feature. In later stages the filament breaks into two dipped sections and takes a highly irregular, non-symmetrical form with multiple pillars. The two sections are connected by field lines with double dips even though the twist of the field is less than one turn. Reconnection is not found to play a key role in the break up of the filament. The non-linear force-free fields produce very different results to extrapolated linear-force free fields. For the cases considered here the linear force-free field does not produce the break up of the filament nor the production of barbs as a result of dominant polarity elements.

Prominences, formation and evolution Prominences, models 

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References

  1. Anzer, U.: 2002, In: Wilson, A. (ed.) Solar Variability: From Core to Outer Frontiers SP-506, ESA, Noordwijk, 389. Google Scholar
  2. Anzer, U., Heinzel, P.: 2007, Astron. Astrophys. 467, 1285. CrossRefADSGoogle Scholar
  3. Athay, R.G., Querfeld, C.W., Smartt, R.N., Landi Degl’Innocenti, E., Bommier, V.: 1983, Solar Phys. 89, 3. CrossRefADSGoogle Scholar
  4. Aulanier, G., Demoulin, P.: 1998, Astron. Astrophys. 329, 1125. ADSGoogle Scholar
  5. Aulanier, G., Srivastava, N., Martin, S.F.: 2000, Astrophys. J. 543, 447. CrossRefADSGoogle Scholar
  6. Aulanier, G., Démoulin, P., van Driel-Gesztelyi, L., Mein, P., Deforest, C.: 1998, Astron. Astrophys. 335, 309. ADSGoogle Scholar
  7. Aulanier, G., Démoulin, P., Mein, N., van Driel-Gesztelyi, L., Mein, P., Schmieder, B.: 1999, Astron. Astrophys. 342, 867. ADSGoogle Scholar
  8. Berger, M.A.: 1984, Geophys. Astrophys. Fluid Dyn. 30, 79. CrossRefADSGoogle Scholar
  9. Berger, T.E., Shine, R.A., Slater, G.L., Tarbell, T.D., Title, A.M., Okamoto, T.J., et al.: 2008, Astrophys. J. 676, L89. CrossRefADSGoogle Scholar
  10. Bhattacharjee, A., Yuan, Y.: 1995, Astrophys. J. 449, 739. CrossRefADSGoogle Scholar
  11. Boozer, A.H.: 1986, J. Plasma Phys. 35, 133. CrossRefADSGoogle Scholar
  12. Casini, R., López Ariste, A., Tomczyk, S., Lites, B.W.: 2003, Astrophys. J. 598, L67. CrossRefADSGoogle Scholar
  13. Deng, Y., Lin, Y., Schmieder, B., Engvold, O.: 2002, Solar Phys. 209, 153. CrossRefADSGoogle Scholar
  14. DeVore, C.R., Antiochos, S.K.: 2000, Astrophys. J. 539, 54. ADSGoogle Scholar
  15. Dudík, J., Aulanier, G., Schmieder, B., Bommier, V., Roudier, T.: 2008, Solar Phys. 248, 29. CrossRefADSGoogle Scholar
  16. Engvold, O.: 1998, In: Webb, D.F., Schmieder, B., Rust, D.M (eds.) New Perspectives on Solar Prominences, IAU Colloq. 167, 23. Google Scholar
  17. Finn, J.M., Guzdar, P.N., Usikov, D.: 1994, Astrophys. J. 427, 475. CrossRefADSGoogle Scholar
  18. Foukal, P.: 1971, Solar Phys. 20, 298. CrossRefADSGoogle Scholar
  19. Gaizauskas, V.: 1998, In: Webb, D.F., Schmieder, B., and Rust, D.M (eds.) New Perspectives on Solar Prominences, IAU Colloq. 167, 23. Google Scholar
  20. Gaizauskas, V., Mackay, D.H., Harvey, K.L.: 2001, Astrophys. J. 558, 888. CrossRefADSGoogle Scholar
  21. Gaizauskas, V., Zirker, J.B., Sweetland, C., Kovacs, A.: 1997, Astrophys. J. 479, 448. CrossRefADSGoogle Scholar
  22. Galsgaard, K., Longbottom, A.W.: 1999, Astrophys. J. 510, 444. CrossRefADSGoogle Scholar
  23. Gouttebroze, P., Heinzel, P., Vial, J.C.: 1993, Astron. Astrophys. Suppl. Ser. 99, 513. ADSGoogle Scholar
  24. Hahn, M., Gaard, S., Jibben, P., Canfield, R.C., Nandy, D.: 2005, Astrophys. J. 629, 1135. CrossRefADSGoogle Scholar
  25. Heinzel, P., Anzer, U.: 2006, Astrophys. J. 643, L65. CrossRefADSGoogle Scholar
  26. Leroy, J.L., Bommier, V., Sahal-Brechot, S.: 1983, Solar Phys. 83, 135. CrossRefADSGoogle Scholar
  27. Lin, Y., Engvold, O., Rouppe van der Voort, L., Wiik, J.E., Berger, T.E.: 2005, Solar Phys. 226, 239. CrossRefADSGoogle Scholar
  28. Lin, Y., Martin, S.F., Engvold, O., Rouppe van der Voort, L.H.M., van Noort, M.: 2008, Adv. Space Res. 42, 803. CrossRefADSGoogle Scholar
  29. Lionello, R., Mikić, Z., Linker, J.A., Amari, T.: 2002, Astrophys. J. 581, 718 – 725. CrossRefADSGoogle Scholar
  30. Longbottom, A.: 1998, In: Webb, D.F., Schmieder, B., and Rust, D.M (eds.) New Perspectives on Solar Prominences, IAU Colloq. 167, 23. Google Scholar
  31. López Ariste, A., Casini, R.: 2002, Astrophys. J. 575, 529. CrossRefADSGoogle Scholar
  32. López Ariste, A., Aulanier, G., Schmieder, B., Sainz Dalda, A.: 2006, Astron. Astrophys. 456, 725. CrossRefADSGoogle Scholar
  33. Mackay, D.H., Gaizauskas, V.: 2003, Solar Phys. 216, 121. CrossRefADSGoogle Scholar
  34. Mackay, D.H., Priest, E.R.: 1996, Solar Phys. 167, 281. CrossRefADSGoogle Scholar
  35. Mackay, D.H., van Ballegooijen, A.A.: 2005, Astrophys. J. 621, L77. CrossRefADSGoogle Scholar
  36. Mackay, D.H., van Ballegooijen, A.A.: 2006, Astrophys. J. 641, 577. CrossRefADSGoogle Scholar
  37. Mackay, D.H., Longbottom, A.W., Priest, E.R.: 1999, Solar Phys. 185, 87. CrossRefADSGoogle Scholar
  38. Mackay, D.H., Gaizauskas, V., van Ballegooijen, A.A.: 2000, Astrophys. J. 544, 1122. CrossRefADSGoogle Scholar
  39. Mackay, D.H., Gaizauskas, V., Yeates, A.R.: 2008, Solar Phys. 248, 51. CrossRefADSGoogle Scholar
  40. Mackay, D.H., Gaizauskas, V., Rickard, G.J., Priest, E.R.: 1997, Astrophys. J. 486, 534. CrossRefADSGoogle Scholar
  41. Mackay, D.H., Priest, E.R., Gaizauskas, V., van Ballegooijen, A.A.: 1998, Solar Phys. 180, 299. CrossRefADSGoogle Scholar
  42. Mackay, D.H., Karpen, J.T., Ballester, J.L., Schmieder, B., Aulanier, G.: 2009, Space Sci. Rev. submitted. Google Scholar
  43. Martens, P.C., Zwaan, C.: 2001, Astrophys. J. 538, 872. CrossRefADSGoogle Scholar
  44. Martin, S.F.: 1990, In: Ruzdjak, V., Tandberg-Hanssen, E. (eds.) Dynamics of Quiescent Prominences, IAU Colloq. 117, 1. Google Scholar
  45. Martin, S.F.: 1998, Solar Phys. 182, 107. CrossRefADSGoogle Scholar
  46. Martin, S.F., Bilimoria, R., Tracadas, P.W.L.: 1994, In: Rutten, R.J., Schrijver, C.J. (eds.) Solar Surface Magnetism, Proc. NATO Advanced Research Workshop 433, Kluwer Academic, Dordrecht, 303. Google Scholar
  47. Martres, M.J., Michard, R., Soru-Iscovici, T.: 1966, Ann. Astrophys. 29, 245. ADSGoogle Scholar
  48. McIntosh, P.S.: 2002, Bull. Am. Astron. Soc. 34, 737. ADSGoogle Scholar
  49. Mouradian, Z., Soru-Escaut, I.: 1994, Astron. Astrophys. 290, 279. ADSGoogle Scholar
  50. Nandy, D., Hahn, M., Canfield, R.C., Longcope, D.W.: 2003, Astrophys. J. 597, L73. CrossRefADSGoogle Scholar
  51. Okamoto, T.J., Tsuneta, S., Berger, T.E., Ichimoto, K., Katsukawa, Y., Lites, B.W., et al.: 2007, Science 318, 1577. CrossRefADSGoogle Scholar
  52. Paletou, F.: 2008, In: Charbonnel, C., Combes, F., Samadi, R. (eds.) Proc. Annual Meeting of the French Society of Astron. Astrophys., 559. Google Scholar
  53. Paletou, F., Aulanier, G.: 2003, In: Trujillo-Bueno, J., Sanchez Almeida, J. (eds.) Spectropolarimetry of Solar Prominences CS-307, Astron. Soc. Pac., San Francisco, 458. Google Scholar
  54. Pevtsov, A.A., Balasubramaniam, K.S., Rogers, J.W.: 2003, Astrophys. J. 595, 500. CrossRefADSGoogle Scholar
  55. Schmieder, B., Aulanier, G., Mein, P., López Ariste, A., et al.: 2006, Solar Phys. 238, 245. CrossRefADSGoogle Scholar
  56. Steenbeck, M., Krause, F., Radler, K.H.: 1966, Z. Naturforsch. A 21, 369. ADSGoogle Scholar
  57. Strauss, H.R.: 1988, Astrophys. J. 326, 412. CrossRefADSGoogle Scholar
  58. Tandberg-Hanssen, E.: 1995, The Nature of Solar Prominences, Kluwer, Dordrecht, 258. Google Scholar
  59. Taylor, J.B.: 1974, Phys. Rev. Lett 33, 1139. CrossRefADSGoogle Scholar
  60. van Ballegooijen, A.A.: 2004, Astrophys. J. 612, 519. CrossRefADSGoogle Scholar
  61. van Ballegooijen, A.A., Mackay, D.H.: 2007, Astrophys. J. 659, 1713. CrossRefADSGoogle Scholar
  62. van Ballegooijen, A.A., Martens, P.C.H.: 1989, Astrophys. J. 343, 971. CrossRefADSGoogle Scholar
  63. van Ballegooijen, A.A., Priest, E.R., Mackay, D.H.: 2000, Astrophys. J. 539, 983. CrossRefADSGoogle Scholar
  64. Wang, Y.-M.: 2001, Astrophys. J. 560, 456. CrossRefADSGoogle Scholar
  65. Wang, Y.-M., Muglach, K.: 2007, Astrophys. J. 666, 1284. CrossRefADSGoogle Scholar
  66. Yang, W.H., Sturrock, P.A., Antiochos, S.K.: 1986, Astrophys. J. 309, 383. CrossRefADSGoogle Scholar
  67. Yeates, A.R., Mackay, D.H.: 2009, Solar Phys. 254, 77. CrossRefADSGoogle Scholar
  68. Yeates, A.R., Mackay, D.H., van Ballegooijen, A.A.: 2007, Solar Phys. 245, 87. CrossRefADSGoogle Scholar
  69. Yeates, A.R., Mackay, D.H., van Ballegooijen, A.A.: 2008, Solar Phys. 247, 103. CrossRefADSGoogle Scholar
  70. Zirker, J.B., Engvold, O., Martin, S.F.: 1998, Nature 396, 440. CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of St. AndrewsSt. AndrewsUK
  2. 2.Harvard-Smithsonian Center for AstrophysicsCambridgeUSA

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