Solar Physics

, Volume 236, Issue 1, pp 111–126

Fast Magnetohydrodynamic Oscillations in a Fibril Prominence Model

Article

Abstract

Observations of quiescent filaments show fine-scale structures, suggesting that they can be composed of small-scale threads or fibrils. Here, we study the oscillations of group of periodic fibrils in a Cartesian geometry using Bloch's theorem. The periodic array of fibrils provides a bridge between the seemingly different oscillations of a finite number of fibrils and the oscillations of an homogeneous prominence. Our results show that fine structure plays an important role and cannot be neglected. The filling factor can be used to obtain reliable estimates of periods. Also, the presence of the fibrils introduces a fine-scale modulation in the spatial structure of the global oscillations.

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References

  1. Ashcroft, N.W. and Mermin, N.D.: 1976, Solid State Physics, Saunders College Publishing, Philadelphia, p. 133.Google Scholar
  2. Ballester, J.L.: 2006, Phil. Trans. R. Soc. A364, 405.ADSGoogle Scholar
  3. Berton, R. and Heyvaerts, J.: 1987, Solar Phys. 109, 201.CrossRefADSGoogle Scholar
  4. Díaz, A.J.: 2004, Ph.D. Thesis, Universitat de les Illes Balears, Spain.Google Scholar
  5. Díaz, A.J., Oliver, R., and Ballester, J.L.: 2002, Astrophys. J. 580, 550.CrossRefADSGoogle Scholar
  6. Díaz, A.J., Oliver, R., and Ballester, J.L.: 2003, Astron. Astrophys. 402, 781.CrossRefADSGoogle Scholar
  7. Díaz, A.J., Oliver, R., and Ballester, J.L.: 2005, Astron. Astrophys. 440, 1167.CrossRefADSGoogle Scholar
  8. Díaz, A.J., Oliver, R., Erdélyi, R., and Ballester, J.L.: 2001, Astron. Astrophys. 379, 1083.CrossRefADSGoogle Scholar
  9. Edwin, P.M. and Roberts, B.: 1982, Solar Phys. 76, 239.CrossRefADSGoogle Scholar
  10. Engvold, O.: 2001, in: J.L. Ballester and B. Roberts (eds.), INTAS Workshop on MHD Waves in Astrophysical Plasmas, Universitat de les Illes Balears, Spain.Google Scholar
  11. Engvold, O.: 2004, in: A.V. Stephanov, E.E. Benevolenskaya, and A.G. Kosovichev (eds.), Proceedings of the IAU Colloquium on Multiwavelength Investigations of Solar Activity, Cambridge University Press, Cambridge, p. 187.Google Scholar
  12. Engvold, O., Kjeldseth-Moe, O., Bartoe, J.D.F., and Brueckner, G.: 1987, in: A.V. Stephanov (ed.), Proceedings of the 21st ESLAB Symposium, ESA SP-275, Noordwijk, Netherlands, p. 21.Google Scholar
  13. Eto, S., Isobe, H., Narukage, N., Asai, A., Morimoto, T., Thompson, B., Yashiro, S., Wang, T., Kitai, R., Kurokawa, H., and Shibata, K.: 2002, Pub. Astron. Soc. Japan 54, 481.ADSGoogle Scholar
  14. Foullon, C., Verwichte, E., and Nakariakov, V.M.: 2004, Astron. Astrophys. 427, L5.CrossRefADSGoogle Scholar
  15. Jing, J., Lee, J., Spirock, T.J., Xu, Y., Wang, H., and Choe, G. S.: 2003, Astrophys. J. 584, L103.CrossRefADSGoogle Scholar
  16. Joarder, P.S. and Roberts, B.: 1992, Astron. Astrophys. 261, 625.ADSGoogle Scholar
  17. Joarder, P.S., Nakariakov, V., and Roberts, B.: 1997, Solar Phys. 173, 81.CrossRefADSGoogle Scholar
  18. Lin, Y.: 2004, Ph.D. Thesis, University of Oslo, Oslo.Google Scholar
  19. Lin, Y., Engvold, O., van der Voort, L.R., Wiik, J.E., and Berger, T.E.: 2005, Solar Phys. 226, 239.MATHCrossRefADSGoogle Scholar
  20. Marcu, A., Ballai, I., and Pintér, B.: 2006, Astron. Astrophys. 449, 1193.CrossRefADSGoogle Scholar
  21. Okamoto, T.J., Nakai, H., Keiyama, A., Narukage, N., Ueno, S., Kitai, R. et al.: 2004, Astrophys. J. 608, 1124.CrossRefADSGoogle Scholar
  22. Oliver, R. and Ballester, J.L.: 2002, Solar Phys. 206, 45.CrossRefADSGoogle Scholar
  23. Pouget, G., Bocchialini, K., and Solomon, J.: 2006, Astron. Astrophys. 450, 1189.CrossRefADSGoogle Scholar
  24. Régnier, S., Solomon, J., and Vial, J.C.: 2001, Astron. Astrophys. 376, 292.CrossRefADSGoogle Scholar
  25. Schmieder, B. and Mein, P.: 1989, Hvar. Obs. Bull. 13, IAU Colloq. 119, 31.Google Scholar
  26. Schmieder, B., Raadu, M., and Wiik, J.E.: 1991, Astron. Astrophys. 252, 353.ADSGoogle Scholar
  27. Yi, Z. and Engvold, O.: 1991, Solar Phys. 134, 275.CrossRefADSGoogle Scholar
  28. Yi, Z., Engvold, O., and Keil, S.L.: 1991, Solar Phys. 132, 63.CrossRefADSGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Mathematical InstituteUniversity of St AndrewsSt AndrewsUK

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