Solar Physics

, Volume 242, Issue 1–2, pp 21–41

Multiply Connected Source and Null Pairs

Article

Abstract

The magnetic fields within the solar atmosphere have a complex topology owing to the fragmentary nature with which they thread the solar surface. The topologies of the potential magnetic fields containing only a few (up to four) point photospheric sources have been classified. For small numbers of sources determining the connectivity of source pairs is equivalent to counting the number of flux domains. As the numbers of sources increase this, however, is no longer the case. Instead, a pair of connected sources can have more than one distinct flux domain linking them. We call these multiply connected source pairs. Pairs of nulls connected by more than one separator are called multiply connected null pairs. Multiply connected source and null pairs go hand-in-hand such that two separators connecting the same pair of nulls immediately implies multiple flux domains linking the same source pair and vice versa. It is found that multiply connected source pairs are common not only in fairly complex potential magnetic fields but more interestingly in the resistive-MHD evolution of both simple and complex magnetic fields. Magnetic energy release is often significant around separators. Thus fields with multiply connected source pairs, which naturally have more separators, (i) have more sites for intense energy release and (ii) are likely to release energy more quickly than other magnetic fields. Moreover, the combination of multiply connected source and null pairs can give rise to a situation where flux is reconnected repeatedly between two flux domains.

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References

  1. Barnes, G., Longcope, D.W., Leka, K.D.: 2005, Astrophys. J. 629, 561. CrossRefADSGoogle Scholar
  2. Beveridge, C., Longcope, D.W.: 2005, Solar Phys. 227, 193. CrossRefADSGoogle Scholar
  3. Beveridge, C., Longcope, D.W., Priest, E.R.: 2003, Solar Phys. 216, 27. CrossRefADSGoogle Scholar
  4. Beveridge, C., Priest, E.R., Brown, D.S.: 2002, Solar Phys. 209, 333. CrossRefADSGoogle Scholar
  5. Beveridge, C., Priest, E.R., Brown, D.S.: 2004, Geophys. Astrophys. Fluid Dyn. 98, 429. CrossRefADSGoogle Scholar
  6. Brown, D.S., Priest, E.R.: 1999a, Proc. Roy. Soc. Lond. Ser. A 455, 3931. MATHADSGoogle Scholar
  7. Brown, D.S., Priest, E.R.: 1999b, Solar Phys. 190, 25. CrossRefADSGoogle Scholar
  8. Bungey, T.N., Titov, V.S., Priest, E.R.: 1996, Astron. Astrophys. 308, 233. ADSGoogle Scholar
  9. Close, R.M., Parnell, C.E., Priest, E.R.: 2005, Geophys. Astrophys. Fluid Dyn. 99, 513. CrossRefADSGoogle Scholar
  10. Close, R.M., Parnell, C.E., Mackay, D.H., Priest, E.R.: 2003, Solar Phys. 212, 251. CrossRefADSGoogle Scholar
  11. Close, R.M., Parnell, C.E., Longcope, D.W., Priest, E.R.: 2004, Astrophys. J. Lett. 612, L81. CrossRefADSGoogle Scholar
  12. Close, R.M., Parnell, C.E., Longcope, D.W., Priest, E.R.: 2005, Solar Phys. 231, 45. CrossRefADSGoogle Scholar
  13. De Moortel, I., Galsgaard, K.: 2006a, Astron. Astrophys. 451, 1101. CrossRefADSGoogle Scholar
  14. De Moortel, I., Galsgaard, K.: 2006b, Astron. Astrophys. 459, 627. CrossRefADSGoogle Scholar
  15. Galsgaard, K., Parnell, C.E.: 2005, Astron. Astrophys. 439, 335. CrossRefADSGoogle Scholar
  16. Galsgaard, K., Parnell, C.E., Blaizot, J.: 2000, Astron. Astrophys. 362, 395. ADSGoogle Scholar
  17. Galsgaard, K., Titov, V.S., Neukirch, T.: 2003, Astrophys. J. 595, 506. CrossRefADSGoogle Scholar
  18. Haynes, A.L., Parnell, C.E., Galsgaard, K., Priest, E.R.: 2007, Proc. Roy. Soc. Lond. Ser. A 463, 1097. Google Scholar
  19. Hornig, G., Priest, E.R.: 2003, Phys. Plasmas 10(7), 2712. CrossRefADSGoogle Scholar
  20. Lau, Y.T., Finn, J.M.: 1990, Astrophys. J. 350, 672. CrossRefADSGoogle Scholar
  21. Longcope, D.W.: 1998, Astrophys. J. 507, 443L. CrossRefGoogle Scholar
  22. Longcope, D.W.: 2001, Phys. Plasmas 10, 3321. CrossRefADSGoogle Scholar
  23. Longcope, D.W.: 2005, Living Rev. Solar Phys. 7, 1. Google Scholar
  24. Longcope, D.W., Klapper, I.: 2002, Astrophys. J. 579, 468. CrossRefADSGoogle Scholar
  25. Longcope, D.W., Silva, A.V.R.: 1998, Solar Phys. 179, 349. CrossRefADSGoogle Scholar
  26. Maclean, R.C., Beveridge, C., Hornig, G., Priest, E.R.: 2005, Proc. Roy. Soc. Lond. Ser. A 461, 2099. ADSGoogle Scholar
  27. Maclean, R.C., Beveridge, C., Hornig, G., Priest, E.R.: 2006, Solar Phys. 235, 259. CrossRefADSGoogle Scholar
  28. Parnell, C.E., Galsgaard, K.: 2004, Astron. Astrophys. 428, 595. CrossRefADSGoogle Scholar
  29. Parnell, C.E., Haynes, A.L., Galsgaard, K.: 2007, in preparation. Google Scholar
  30. Parnell, C.E., Smith, J.M., Neukirch, T., Priest, E.R.: 1996, Phys. Plasmas 3(3), 759. CrossRefADSGoogle Scholar
  31. Pontin, D., Priest, E.R.: 2003, Solar Phys. 212, 319. CrossRefADSGoogle Scholar
  32. Priest, E.R., Démoulin, P.: 1995, J. Geophys. Res. 100(A12), 2344. CrossRefGoogle Scholar
  33. Priest, E.R., Forbes, T.G.: 2000, Magnetic Reconnection, Cambridge University Press, Cambridge. MATHGoogle Scholar
  34. Priest, E.R., Titov, V.S.: 1996, Philos. Trans. Roy. Soc. Lond. Ser. A 354, 2951. MATHADSGoogle Scholar
  35. Priest, E.R., Bungey, T.N., Titov, V.S.: 1997, Geophys. Astrophys. Fluid Dyn. 84, 127. CrossRefADSGoogle Scholar
  36. Priest, E.R., Hornig, G., Pontin, P.: 2003, J. Geophys. Res. 108(78). Google Scholar
  37. Priest, E.R., Longcope, D.W., Heyvaerts, J.: 2005, Astrophys. J. 624, 1057. CrossRefADSGoogle Scholar
  38. Schrijver, C.J., Harvey, K.L.: 1994, Solar Phys. 150, 1. CrossRefADSGoogle Scholar
  39. Schrijver, C.J., Title, A.M.: 2002, Solar Phys. 207, 223. CrossRefADSGoogle Scholar
  40. Schrijver, C.J., Zwaan, C.: 2000, Solar and Stellar Magnetic Activity, Cambridge Astrophysics Series 34, Cambridge University Press, Cambridge. Google Scholar
  41. Titov, V.S., Galsgaard, K., Neukirch, T.: 2003, Astrophys. J. 582, 1172. CrossRefADSGoogle Scholar
  42. Titov, V.S., Hornig, G., Démoulin, P.: 2002, J. Geophys. Res. 107(A8), 1164, doi: 10.1029/2001JA000278.
  43. Titov, V.S., Priest, E.R., Démoulin, P.: 1993, Astron. Astrophys. 276, 564. ADSGoogle Scholar
  44. Wang, J., Wang, H., Tang, F., Lee, J.W., Zirin, H.: 1995, Solar Phys. 160, 277. CrossRefADSGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of St AndrewsSt AndrewsUK

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