Solar Physics

, Volume 289, Issue 8, pp 2957–2970 | Cite as

Twist and Writhe of the Magnetic Flux in the Super Active Region NOAA 11429

  • A. ElmhamdiEmail author
  • P. Romano
  • A. S. Kordi
  • H. A. Al-trabulsy


We used full-disk line-of-sight magnetograms taken by the Helioseismic and Magnetic Imager (HMI) onboard the Solar Dynamics Observatory (SDO) to study the variation of coronal magnetic helicity in the Active Region (AR) NOAA 11429, where several GOES M- and X-class flares and coronal mass ejections (CMEs) occurred. The magnetic flux, total magnetic-helicity flux, and helicity accumulation over the period of interest, i.e. 6 to 11 March 2012, were measured and are discussed. We also evaluated the tilt-angle evolution within the standard polarity flux-weighted centroids approach. The AR displays a shearing motion of the magnetic structures along the polarity inversion line, reaching values of about 1.0 km s−1. The variations of magnetic helicity flux and the tilt-angle seem to be time-correlated, and both display three-phase evolutionary patterns. We also found that the flare/CME activity is higher during the first observation phase when the tilt-angle decreases and the negative magnetic helicity is accumulated. The main changes in the accumulated helicity curve are observed only after the onset of the two strongest flare/CME events. After the major event (GOES X5.4 class/CME of 7 March) there was a decrease in the occurrence of flares and CMEs. This phase is marked by a decrease of the flux of magnetic helicity from the convection zone to the corona and a change in the orientation of the tilt of the AR. This behavior suggests that the combination of these two quantities might be important in the description of the magnetic complexity accumulated by an AR during its lifetime.


Active regions Magnetic fields, photosphere Velocity fields, photosphere 



The project research by the KSU astronomy unit was supported by King Saud University, Deanship of Scientific Research, College of Science Research Center. The research by PR leading to these results has received funding from the European Commissions Seventh Framework Programme under the grant agreements number 284461 (eHEROES project) and No. 312495 (SOLARNET project). AE is partly supported by Chinese Academy of Sciences Fellowships for young international scientists, grant 2012Y1JA0002. The authors wish to thank the referee for their very useful comments and suggestions, which led to a sounder version of the article.

Supplementary material

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  1. Berger, M.A., Field, G.B.: 1984, J. Fluid Mech. 147, 133. ADSCrossRefMathSciNetGoogle Scholar
  2. Canfield, R.C., Pevtsov, A.A.: 1998, Solar Phys. 182, 145. 1998SoPh..182..145C.  10.1023/A:1005086108043. ADSCrossRefGoogle Scholar
  3. Chae, J.: 2001, Astrophys. J. Lett. 560, L95. 2001ApJ...560L..95C.  10.1086/324173. ADSCrossRefGoogle Scholar
  4. Chandra, R., Pariat, E., Schmieder, B., Mandrini, C.H., Uddin, W.: 2010, Solar Phys. 261, 127. 2010SoPh..261..127C.  10.1007/s11207-009-9470-2. ADSCrossRefGoogle Scholar
  5. Dalmasse, K., Pariat, E., Valori, G., Démoulin, P., Green, L.M.: 2013, Astron. Astrophys. 555, 6. 2013AA...555L...6D.  10.1051/0004-6361/201321999. ADSCrossRefGoogle Scholar
  6. Dalmasse, K., Pariat, E., Démoulin, P., Aulanier, G.: 2014, Solar Phys. 289, 107. 2014SoPh..289..107D.  10.1007/s11207-013-0326-4. ADSCrossRefGoogle Scholar
  7. Démoulin, P., Pariat, E., Berger, M.A.: 2006, Solar Phys. 233, 3. 2006SoPh..233....3D.  10.1007/s11207-006-0010-z. ADSCrossRefGoogle Scholar
  8. Démoulin, P., Pariat, E.P.: 2009, Adv. Space Res. 43, 1013. 2009AdSpR..43.1013D.  10.1016/j.asr.2008.12.004. ADSCrossRefGoogle Scholar
  9. Démoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., Lopez Fuentes, M.C., Aulanier, G.: 2002a, Solar Phys. 207, 87. 2002SoPh..207...87D.  10.1023/A:1015531804337. ADSCrossRefGoogle Scholar
  10. Démoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L., Thompson, B.J., Plunkett, S., Kovári, Zs., et al.: 2002b, Astron. Astrophys. 382, 650. 2002AA...382..650D.  10.1051/0004-6361:20011634. ADSCrossRefGoogle Scholar
  11. DeVore, C.R.: 2000, Astrophys. J. 539, 944. 2000ApJ...539..944D.  10.1086/309274. ADSCrossRefGoogle Scholar
  12. Elmhamdi, A., Kordi, A.S., Al-Trabulsy El-Nawawy, M., Ibrahim, A.A., Ben Nessib, N., et al.: 2013, New Astron. 23, 73. 2013NewA...23...73E.  10.1016/j.newast.2013.03.007. ADSCrossRefGoogle Scholar
  13. Emonet, T., Moreno-Insertis, F.: 1998, Astrophys. J. 492, 804. 1998ApJ...492..804E.  10.1086/305074. ADSCrossRefGoogle Scholar
  14. Fan, Y., Zweibel, E.G., Lantz, S.R.: 1998, Astrophys. J. 493, 480. 1998ApJ...493..480F.  10.1086/305122. ADSCrossRefGoogle Scholar
  15. Georgoulis, M.K., LaBonte, B.J.: 2007, Astrophys. J. 671, 1034. 2007ApJ...671.1034G.  10.1086/521417. ADSCrossRefGoogle Scholar
  16. Georgoulis, M.K., Tziotziou, K., Raouafi, N.-E.: 2012, Astrophys. J. 759, 1. 2012ApJ...759....1G.  10.1088/0004-637X/759/1/1. ADSCrossRefGoogle Scholar
  17. Green, L.M., López Fuentes, M.C., Mandrini, C.H., Démoulin, P., Van Driel-Gesztelyi, L., Culhane, J.L.: 2002a, Solar Phys. 208, 43. 2002SoPh..208...43G.  10.1023/A:1019658520033. ADSCrossRefGoogle Scholar
  18. Green, L.M., Matthews, S.A., van Driel-Gesztelyi, L., Harra, L.K., Culhane, J.L.: 2002b, Solar Phys. 205, 325. 2006SoPh..233....3D.  10.1007/s11207-006-0010-z. ADSCrossRefGoogle Scholar
  19. Green, L.M., Démoulin, P., Mandrini, C.H., van Driel-Gesztelyi, L.: 2003, Solar Phys. 215, 307. 2003SoPh..215..307G.  10.1023/A:1025678917086. ADSCrossRefGoogle Scholar
  20. Hale, G.E., Nicholson, S.B.: 1925, Astrophys. J. 62, 270. 1925ApJ....62..270H.  10.1086/142933. ADSCrossRefGoogle Scholar
  21. Hartkorn, K., Wang, H.: 2004, Solar Phys. 225, 311. 2004SoPh..225..311H.  10.1007/s11207-004-5699-y. ADSCrossRefGoogle Scholar
  22. Holder, Z.A., Canfield, R.C., McMullen, R.A., Nandy, D., Howard, R.F., Pevtsov, A.A.: 2004, Astrophys. J. 611, 1149. 2004ApJ...611.1149H.  10.1086/422247. ADSCrossRefGoogle Scholar
  23. Hood, A.W., Archontis, V., MacTaggart, D.: 2012, Solar Phys. 278, 3. 2012SoPh..278....3H.  10.1007/s11207-012-0172-9. ADSCrossRefGoogle Scholar
  24. Howard, R.F.: 1991, Solar Phys. 136, 251. 1991SoPh..136..251H.  10.1007/BF00146534. ADSCrossRefGoogle Scholar
  25. Howard, R.F.: 1993, Solar Phys. 145, 105. 1993SoPh..145..105H.  10.1007/BF00627986. ADSCrossRefGoogle Scholar
  26. Howard, R.F., Harvey, J.W., Forgach, S.: 1990, Solar Phys. 130, 295. 1990SoPh..130..295H.  10.1007/BF00156795. ADSCrossRefGoogle Scholar
  27. Inoue, S., Kusano, K., Magara, T., Shiota, D., Yamamoto, T.T.: 2011, Astrophys. J. 738, 161. 2011ApJ...738..161I.  10.1088/0004-637X/738/2/161. ADSCrossRefGoogle Scholar
  28. Inoue, S., Magara, T., Watari, S., Choe, G.S.: 2012, Astrophys. J. 747, 65. 2012ApJ...747...65I.  10.1088/0004-637X/747/1/65. ADSCrossRefGoogle Scholar
  29. Jiang, C., Feng, X.: 2014, Solar Phys. 289, 63. 2014SoPh..289...63J.  10.1007/s11207-013-0346-0. ADSCrossRefGoogle Scholar
  30. Jing, J., Park, S.-H., Liu, C., Lee, J., Wiegelmann, T., Xu, Y., Deng, N., Wang, H.: 2012, Astrophys. J. 752, 9. 2012ApJ...752L...9J.  10.1088/2041-8205/752/1/L9. ADSCrossRefGoogle Scholar
  31. Kusano, K., Maeshiro, T., Yokoyama, T., Sakurai, T.: 2002, Astrophys. J. 577, 501. 2002ApJ...577..501K.  10.1086/342171. ADSCrossRefGoogle Scholar
  32. Kusano, K., Yokoyama, T., Maeshiro, T., Sakurai, T.: 2003, Adv. Space Res. 32, 1931. 2003AdSpR..32.1931K.  10.1016/S0273-1177(03)90628-4. ADSCrossRefGoogle Scholar
  33. Lin, J., Soon, W., Baliunas, S.L.: 2003, New Astron. Rev. 47, 53. 2003NewAR..47...53L.  10.1016/S1387-6473(02)00271-3. ADSCrossRefGoogle Scholar
  34. Liu, Y., Schuck, P.W.: 2012, Astrophys. J. 761, 105. 2012ApJ...761..105L.  10.1088/0004-637X/761/2/105. ADSCrossRefGoogle Scholar
  35. Longcope, D.W., Pevtsov, A.A.: 2003, Adv. Space Res. 32, 1845. 2003AdSpR..32.1845L.  10.1016/S0273-1177(03)90618-1. ADSCrossRefGoogle Scholar
  36. Nindos, A., Zhang, J., Zhang, H.: 2003, Astron. Astrophys. 594, 1033. 2003ApJ...594.1033N.  10.1086/377126. ADSGoogle Scholar
  37. Pariat, E., Démoulin, P., Berger, M.A.: 2005, Astron. Astrophys. 439, 1191. 2005AA...439.1191P.  10.1051/0004-6361:20052663. ADSCrossRefGoogle Scholar
  38. Pariat, E., Nindos, A., Démoulin, P., Berger, M.A.: 2006, Astron. Astrophys. 452, 623. 2006AA...452..623P.  10.1051/0004-6361:20054643. ADSCrossRefGoogle Scholar
  39. Park, S.-H., Chae, J., Wang, H.: 2010, Astrophys. J. 718, 43. 2010ApJ...718...43P.  10.1088/0004-637X/718/1/43. ADSCrossRefGoogle Scholar
  40. Petrie, G.J.D.: 2012, Astrophys. J. 759, 50. 2012ApJ...759...50P.  10.1088/0004-637X/759/1/50. ADSCrossRefGoogle Scholar
  41. Pevtsov, A.A., Canfield, R.C., Metcalf, T.R.: 1995, Astrophys. J. Lett. 440, L109. 1995ApJ...440L.109P.  10.1086/187773. ADSCrossRefGoogle Scholar
  42. Poisson, M., Fuentes, M.L., Mandrini, C.H., Demoulin, P., Pariat, E.: 2012, In: Mandrini, C.H., Webb, D.F. (eds.) Comparative Magnetic Minima: Characterizing Quiet Times in the Sun and Stars, IAU Symp. 286, Cambridge University Press, Cambridge, 246. 2012IAUS..286..246P.  10.1017/S1743921312004929. Google Scholar
  43. Prior, C., Berger, M.A.: 2012, Solar Phys. 278, 323. 2012SoPh..278..323P.  10.1007/s11207-012-0143-1. ADSCrossRefGoogle Scholar
  44. Regnier, S., Canfield, R.C.: 2006, Astron. Astrophys. 451, 319. 2006AA...451..319R.  10.1051/0004-6361:20054171. ADSCrossRefGoogle Scholar
  45. Romano, P., Zuccarello, F.: 2011, Astron. Astrophys. 535, 1. 2011AA...535A...1R.  10.1051/0004-6361/201117594. ADSCrossRefGoogle Scholar
  46. Romano, P., Zuccarello, F., Poedts, S., Soenen, A., Zuccarello, F.P.: 2009, Astron. Astrophys. 506, 895. 2009AA...506..895R.  10.1051/0004-6361/200912425. ADSCrossRefGoogle Scholar
  47. Schou, J., Scherrer, P.H., Bush, R.I., Wachter, R., Couvidat, S., Rabello-Soares, M.C., et al.: 2012, Solar Phys. 275, 229. 2012SoPh..275..229S.  10.1007/s11207-011-9842-2. ADSCrossRefGoogle Scholar
  48. Schrijver, C.J.: 2009, Adv. Space Res. 43, 739. 2009AdSpR..43..739S.  10.1016/j.asr.2008.11.004. ADSCrossRefGoogle Scholar
  49. Schuck, P.W.: 2005, Astrophys. J. Lett. 632, L53. 2005ApJ...632L..53S.  10.1086/497633. ADSCrossRefGoogle Scholar
  50. Schuck, P.W.: 2006, Astrophys. J. 646, 1358. 2006ApJ...646.1358S.  10.1086/505015. ADSCrossRefGoogle Scholar
  51. Schuck, P.W.: 2008, Astrophys. J. 683, 1134. 2008ApJ...683.1134S.  10.1086/589434. ADSCrossRefGoogle Scholar
  52. Seehafer, N.: 1990, Solar Phys. 125, 219. 1990SoPh..125..219S.  10.1007/BF00158402. ADSCrossRefGoogle Scholar
  53. Thalmann, J.K., Inhester, B., Wiegelmann, T.: 2011, Solar Phys. 272, 243. 2011SoPh..272..243T.  10.1007/s11207-011-9826-2. ADSCrossRefGoogle Scholar
  54. Tian, L., Alexander, D., Liu, Y., Yang, G.: 2005, Solar Phys. 229, 63. 2005SoPh..229...63T.  10.1007/s11207-005-3524-x. ADSCrossRefGoogle Scholar
  55. Val’Chuk, T.E.: 2013, Astron. Tsirkulyar 1585, 1. 2013ATsir1585....1V. ADSGoogle Scholar
  56. Valori, G., Démoulin, P., Pariat, E.: 2012, Solar Phys. 278, 347. 2012SoPh..278..347V.  10.1007/s11207-012-0044-3. ADSCrossRefGoogle Scholar
  57. van Driel-Gesztelyi, L., Démoulin, P., Mandrini, C.H.: 2003, Adv. Space Res. 32, 1855. 2003AdSpR..32.1855V.  10.1016/S0273-1177(03)90619-3. ADSCrossRefGoogle Scholar
  58. Wang, S., Liu, C., Wang, H.: 2012, Astrophys. J. Lett. 757, L5. 2012ApJ...757L...5W.  10.1088/2041-8205/757/1/L5. ADSCrossRefGoogle Scholar
  59. Wood, P., Martens, P.: 2003, Solar Phys. 218, 123. 2003SoPh..218..123W.  10.1023/B:SOLA-0000013027-52104-c6. ADSCrossRefGoogle Scholar
  60. Yan, X.-L., Qu, Z.-Q., Xu, C.-L., Xue, Z.-K., Kong, D.-F.: 2009, Res. Astron. Astrophys. 9, 596. 2009RAA.....9..596Y.  10.1088/1674-4527/9/5/010. ADSCrossRefGoogle Scholar
  61. Yang, S., Zhang, H., Büchner, J.: 2009, Astron. Astrophys. 502, 333. 2009AA...502..333Y.  10.1051/0004-6361/200810032. ADSCrossRefzbMATHGoogle Scholar
  62. Zhang, Y., Kitai, R., Takizawa, K.: 2012, Astrophys. J. 751, 85. 2012ApJ...751...85Z.  10.1088/0004-637X/751/2/85. ADSCrossRefGoogle Scholar
  63. Zhang, Y., Tan, B., Yan, Y.: 2008, Astrophys. J. Lett. 682, L133. 2008ApJ...682L.133Z.  10.1086/591027. ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • A. Elmhamdi
    • 1
    Email author
  • P. Romano
    • 2
  • A. S. Kordi
    • 1
  • H. A. Al-trabulsy
    • 1
  1. 1.Department of Physics and AstronomyKing Saud UniversityRiyadhSaudi Arabia
  2. 2.INAF – Osservatorio Astrofisico di CataniaCataniaItaly

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