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Space Science Reviews

, Volume 210, Issue 1–4, pp 317–349 | Cite as

The Life Cycle of Active Region Magnetic Fields

  • M. C. M. Cheung
  • L. van Driel-Gesztelyi
  • V. Martínez Pillet
  • M. J. Thompson
Article

Abstract

We present a contemporary view of how solar active region magnetic fields are understood to be generated, transported and dispersed. Empirical trends of active region properties that guide model development are discussed. Physical principles considered important for active region evolution are introduced and advances in modeling are reviewed.

Keywords

Sun Active region MHD Magnetic fields Sunspots 

Notes

Acknowledgements

MCMC is supported by NASA’s SDO/AIA contract (NNG04EA00C) and grant (NNX13AJ96G) to LMSAL. AIA is an instrument onboard the Solar Dynamics Observatory, a mission for NASA’s Living With a Star program. Part of this paper was written while MCMC was a Visiting Associate Professor at the National Astronomical Observatory of Japan (NAOJ) in Tokyo. MCMC wishes to thank his NAOJ hosts, especially Professor Shin Toriumi, for their excellent hospitality. LvDG acknowledges the Hungarian Scientific Research Fund (OTKA) for support through grant no. K-109276. The National Solar Observatory is operated by AURA, Inc. under a cooperative agreement with the National Science Foundation. The National Center for Atmospheric Research is sponsored by the National Science Foundation. Finally, the authors wish to thank the anonymous referee for very constructive feedback.

References

  1. M.D. Altschuler, G. Newkirk, Sol. Phys. 9, 131 (1969) ADSCrossRefGoogle Scholar
  2. H.W. Babcock, Astrophys. J. 133, 572 (1961) ADSCrossRefGoogle Scholar
  3. B. Belucz, M. Dikpati, E. Forgács-Dajka, Astrophys. J. 806, 169 (2015) ADSCrossRefGoogle Scholar
  4. M.A. Berger, G.B. Field, J. Fluid Mech. 147, 133 (1984) ADSMathSciNetCrossRefGoogle Scholar
  5. A. Brandenburg, Astrophys. J. 550, 824 (2001) ADSCrossRefGoogle Scholar
  6. A. Brandenburg, Astrophys. J. 625, 539 (2005) ADSCrossRefGoogle Scholar
  7. B.P. Brown, M.K. Browning, A.S. Brun, M.S. Miesch, J. Toomre, Astrophys. J. 689, 1354 (2008) ADSCrossRefGoogle Scholar
  8. M.K. Browning, M.S. Miesch, A.S. Brun, J. Toomre, Astrophys. J. Lett. 648, L157 (2006) ADSCrossRefGoogle Scholar
  9. D. Buehler, A. Lagg, S.K. Solanki, Astron. Astrophys. 555, A33 (2013) ADSCrossRefGoogle Scholar
  10. P. Caligari, F. Moreno-Insertis, M. Schüssler, Astrophys. J. 441, 886 (1995) ADSCrossRefGoogle Scholar
  11. P. Caligari, M. Schüssler, F. Moreno-Insertis, Astrophys. J. 502, 481 (1998) ADSCrossRefGoogle Scholar
  12. R. Cameron, A. Vögler, M. Schüssler, Astron. Astrophys. 533, A86 (2011) CrossRefGoogle Scholar
  13. R.H. Cameron, M. Dikpati, A. Brandenburg, Space Sci. Rev. (2016). doi: 10.1007/s11214-015-0230-3 Google Scholar
  14. R. Centeno, H. Socas-Navarro, B. Lites, M. Kubo, Z. Frank, R. Shine, T.D. Tarbell, A.M. Title, K. Ichimoto, S. Tsuneta, Y. Katsukawa, Y. Suematsu, T. Shimizu, S. Nagata, Astrophys. J. Lett. 666, L137 (2007) ADSCrossRefGoogle Scholar
  15. J. Chae, Y.-J. Moon, A.A. Pevtsov, Astrophys. J. Lett. 602, L65 (2004) ADSCrossRefGoogle Scholar
  16. P.F. Chen, Living Rev. Sol. Phys. 8 (2011) Google Scholar
  17. M.C.M. Cheung, M.L. DeRosa, Astrophys. J. 757, 147 (2012) ADSCrossRefGoogle Scholar
  18. M.C.M. Cheung, H. Isobe, Living Rev. Sol. Phys. 11, 3 (2014) ADSCrossRefGoogle Scholar
  19. M.C.M. Cheung, M. Schüssler, F. Moreno-Insertis, Astron. Astrophys. 467, 703 (2007) ADSCrossRefGoogle Scholar
  20. M.C.M. Cheung, M. Schüssler, T.D. Tarbell, A.M. Title, Astrophys. J. 687, 1373 (2008) ADSCrossRefGoogle Scholar
  21. M.C.M. Cheung, M. Rempel, A.M. Title, M. Schüssler, Astrophys. J. 720, 233 (2010) ADSCrossRefGoogle Scholar
  22. A.R. Choudhuri, Sol. Phys. 123, 217 (1989) ADSCrossRefGoogle Scholar
  23. A.R. Choudhuri, Astron. Astrophys. 239, 335 (1990) ADSGoogle Scholar
  24. A.R. Choudhuri, S. D’Silva, Astron. Astrophys. 239, 326 (1990) ADSGoogle Scholar
  25. A.R. Choudhuri, P.A. Gilman, Astrophys. J. 316, 788 (1987) ADSCrossRefGoogle Scholar
  26. J. Christensen-Dalsgaard, D.O. Gough, M.J. Thompson, Astrophys. J. 378, 413 (1991) ADSCrossRefGoogle Scholar
  27. A.S. Dalda, V.M. Martinez Pillet, in Subsurface and Atmospheric Influences on Solar Activity, ed. by R. Howe, R.W. Komm, K.S. Balasubramaniam, G.J.D. Petrie. Astronomical Society of the Pacific Conference Series, vol. 383 (2008), p. 115 Google Scholar
  28. S. Danilovic, B. Beeck, A. Pietarila, M. Schüssler, S.K. Solanki, V. Martínez Pillet, J.A. Bonet, J.C. del Toro Iniesta, V. Domingo, P. Barthol, T. Berkefeld, A. Gandorfer, M. Knölker, W. Schmidt, A.M. Title, Astrophys. J. Lett. 723, L149 (2010a) ADSCrossRefGoogle Scholar
  29. S. Danilovic, M. Schüssler, S.K. Solanki, Astron. Astrophys. 513, A1 (2010b) CrossRefGoogle Scholar
  30. B. De Pontieu, Astrophys. J. 569, 474 (2002) ADSCrossRefGoogle Scholar
  31. P. Démoulin, C.H. Mandrini, L. Van Driel-Gesztelyi, M.C. Lopez Fuentes, G. Aulanier, Sol. Phys. 207, 87 (2002) ADSCrossRefGoogle Scholar
  32. C.R. DeVore, Astrophys. J. 539, 944 (2000) ADSCrossRefGoogle Scholar
  33. M. Dikpati, P.A. Gilman, Astrophys. J. 559, 428 (2001) ADSCrossRefGoogle Scholar
  34. I. Domínguez Cerdeña, J. Sánchez Almeida, F. Kneer, Astron. Astrophys. 407, 741 (2003) ADSCrossRefGoogle Scholar
  35. S. D’Silva, A.R. Choudhuri, Astron. Astrophys. 272, 621 (1993) ADSGoogle Scholar
  36. Y. Fan, Living Rev. Sol. Phys. 1 (2004) Google Scholar
  37. Y. Fan, Astrophys. J. 676, 680 (2008) ADSCrossRefGoogle Scholar
  38. Y. Fan, Living Rev. Sol. Phys. 6 (2009) Google Scholar
  39. Y. Fan, F. Fang, Astrophys. J. 789, 35 (2014) ADSCrossRefGoogle Scholar
  40. Y. Fan, F. Fang, ArXiv e-prints: 1512.08038 (2015)
  41. Y. Fan, G.H. Fisher, E.E. Deluca, Astrophys. J. 405, 390 (1993) ADSCrossRefGoogle Scholar
  42. Y. Fan, G.H. Fisher, A.N. McClymont, Astrophys. J. 436, 907 (1994) ADSCrossRefGoogle Scholar
  43. Y. Fan, N. Featherstone, F. Fang, ArXiv e-prints: 1305.6370 (2013)
  44. A. Ferriz-Mas, M. Schüssler, Geophys. Astrophys. Fluid Dyn. 72, 209 (1993) ADSCrossRefGoogle Scholar
  45. A. Ferriz-Mas, M. Schüssler, Geophys. Astrophys. Fluid Dyn. 81, 233 (1995) ADSCrossRefGoogle Scholar
  46. G.H. Fisher, Y. Fan, R.F. Howard, Astrophys. J. 438, 463 (1995) ADSCrossRefGoogle Scholar
  47. G.H. Fisher, W.P. Abbett, D.J. Bercik, M.D. Kazachenko, B.J. Lynch, B.T. Welsch, J.T. Hoeksema, K. Hayashi, Y. Liu, A.A. Norton, A.S. Dalda, X. Sun, M.L. DeRosa, M.C.M. Cheung, Space Weather 13, 369 (2015) ADSCrossRefGoogle Scholar
  48. P.M. Giles PhD thesis, Stanford University (2000) Google Scholar
  49. L. Gizon, T.L. Duvall Jr., in Local and Global Helioseismology: The Present and Future, ed. by H. Sawaya-Lacoste. ESA Special Publication, vol. 517 (2003), pp. 43–52, GONG+ 2002 Google Scholar
  50. M. Gošić, L.R. Bellot Rubio, D. Orozco Suárez, Y. Katsukawa, J.C. del Toro Iniesta, Astrophys. J. 797, 49 (2014) ADSCrossRefGoogle Scholar
  51. J.T. Gosling, J. Geophys. Res. 98, 18937 (1993) ADSCrossRefGoogle Scholar
  52. T. Granzer, M. Schüssler, P. Caligari, K.G. Strassmeier, Astron. Astrophys. 355, 1087 (2000) ADSGoogle Scholar
  53. L.M. Green, B. Kliem, A.J. Wallace, Astron. Astrophys. 526, A2 (2011) ADSCrossRefGoogle Scholar
  54. B.J. Greer, B.W. Hindman, N.A. Featherstone, J. Toomre, Astrophys. J. Lett. 803, L17 (2015) ADSCrossRefGoogle Scholar
  55. S.L. Guglielmino, L.R. Bellot Rubio, F. Zuccarello, G. Aulanier, S. Vargas Domínguez, S. Kamio, Astrophys. J. 724, 1083 (2010) ADSCrossRefGoogle Scholar
  56. D.A. Haber, B.W. Hindman, J. Toomre, R.S. Bogart, R.M. Larsen, F. Hill, Astrophys. J. 570, 855 (2002) ADSCrossRefGoogle Scholar
  57. H.J. Hagenaar, Astrophys. J. 555, 448 (2001) ADSCrossRefGoogle Scholar
  58. H.J. Hagenaar, C.J. Schrijver, A.M. Title, Astrophys. J. 584, 1107 (2003) ADSCrossRefGoogle Scholar
  59. M. Hagino, T. Sakurai, Publ. Astron. Soc. Jpn. 56, 831 (2004) ADSCrossRefGoogle Scholar
  60. G.E. Hale, Astrophys. J. 28, 315 (1908) ADSCrossRefGoogle Scholar
  61. G.E. Hale, S.B. Nicholson, Astrophys. J. 62, 270 (1925) ADSCrossRefGoogle Scholar
  62. G.E. Hale, F. Ellerman, S.B. Nicholson, A.H. Joy, Astrophys. J. 49, 153 (1919) ADSCrossRefGoogle Scholar
  63. S.M. Hanasoge, T.L. Duvall, K.R. Sreenivasan, Proc. Natl. Acad. Sci. 109, 11928 (2012) ADSCrossRefGoogle Scholar
  64. K.L. Harvey PhD thesis, Univ. Utrecht (1993) Google Scholar
  65. K.L. Harvey, C. Zwaan, Sol. Phys. 148, 85 (1993) ADSCrossRefGoogle Scholar
  66. J.W. Harvey, D. Branston, C.J. Henney, C.U. Keller, Astrophys. J. Lett. 659, L177 (2007) ADSCrossRefGoogle Scholar
  67. D.H. Hathaway, Sol. Phys. 77, 341 (1982) ADSCrossRefGoogle Scholar
  68. D.H. Hathaway, L. Upton, O. Colegrove, Science 342, 1217 (2013) ADSCrossRefGoogle Scholar
  69. G. Hazra, B.B. Karak, A.R. Choudhuri, Astrophys. J. 782, 93 (2014) ADSCrossRefGoogle Scholar
  70. H. Hotta, M. Rempel, T. Yokoyama, Astrophys. J. Lett. 759, L24 (2012) ADSCrossRefGoogle Scholar
  71. H. Hotta, M. Rempel, T. Yokoyama, Astrophys. J. 803, 42 (2015) ADSCrossRefGoogle Scholar
  72. H. Hotta, M. Rempel, T. Yokoyama, Science 351, 1427 (2016) ADSMathSciNetCrossRefGoogle Scholar
  73. R. Howard, B.J. Labonte, Astrophys. J. Lett. 239, L33 (1980) ADSCrossRefGoogle Scholar
  74. R. Howe, Living Rev. Sol. Phys. 6 (2009) Google Scholar
  75. Y. Iida, H.J. Hagenaar, T. Yokoyama, Astrophys. J. 752, 149 (2012) ADSCrossRefGoogle Scholar
  76. R. Ishikawa, S. Tsuneta, Astron. Astrophys. 495, 607 (2009) ADSCrossRefGoogle Scholar
  77. R. Ishikawa, S. Tsuneta, K. Ichimoto, H. Isobe, Y. Katsukawa, B.W. Lites, S. Nagata, T. Shimizu, R.A. Shine, Y. Suematsu, T.D. Tarbell, A.M. Title, Astron. Astrophys. 481, L25 (2008) ADSCrossRefGoogle Scholar
  78. S. Jabbari, A. Brandenburg, N. Kleeorin, D. Mitra, I. Rogachevskii, Astrophys. J. 805, 166 (2015) ADSCrossRefGoogle Scholar
  79. J. Jackiewicz, A. Serebryanskiy, S. Kholikov, Astrophys. J. 805, 133 (2015) ADSCrossRefGoogle Scholar
  80. J. Jiang, R.H. Cameron, D. Schmitt, M. Schüssler, Astron. Astrophys. 528, A83 (2011) CrossRefGoogle Scholar
  81. L. Jouve, A.S. Brun, Astrophys. J. 701, 1300 (2009) ADSCrossRefGoogle Scholar
  82. L. Jouve, A.S. Brun, G. Aulanier, Astrophys. J. 762, 4 (2013) ADSCrossRefGoogle Scholar
  83. M.D. Kazachenko, G.H. Fisher, B.T. Welsch, Astrophys. J. 795, 17 (2014) ADSCrossRefGoogle Scholar
  84. M.D. Kazachenko, G.H. Fisher, B.T. Welsch, Y. Liu, X. Sun, Astrophys. J. 811, 16 (2015) ADSCrossRefGoogle Scholar
  85. E.V. Khomenko, M. Collados, S.K. Solanki, A. Lagg, J. Trujillo Bueno, Astron. Astrophys. 408, 1115 (2003) ADSCrossRefGoogle Scholar
  86. K.O. Kiepenheuer, in Structure and Development of Solar Active Regions, ed. by K.O. Kiepenheuer. Series IAU Symposium, vol. 35 (1968), p. 3 CrossRefGoogle Scholar
  87. R. Komm, I. González Hernández, F. Hill, R. Bogart, M.C. Rabello-Soares, D. Haber, Sol. Phys. 287, 85 (2013) ADSCrossRefGoogle Scholar
  88. F. Krause, K. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon, Elmsford, 1980) zbMATHGoogle Scholar
  89. C. Kuckein, V. Martínez Pillet, R. Centeno, Astron. Astrophys. 539, A131 (2012) CrossRefGoogle Scholar
  90. J. Langfellner, L. Gizon, A.C. Birch, Astron. Astrophys. 581, A67 (2015) ADSCrossRefGoogle Scholar
  91. K.D. Leka, Sol. Phys. 188, 21 (1999) ADSCrossRefGoogle Scholar
  92. K.D. Leka, A. Skumanich, Sol. Phys. 188, 3 (1999) ADSCrossRefGoogle Scholar
  93. K.D. Leka, R.C. Canfield, A.N. McClymont, L. van Driel-Gesztelyi, Astrophys. J. 462, 547 (1996) ADSCrossRefGoogle Scholar
  94. Y. Li, B.T. Welsch, in Subsurface and Atmospheric Influences on Solar Activity, ed. by R. Howe, R.W. Komm, K.S. Balasubramaniam, G.J.D. Petrie. Astronomical Society of the Pacific Conference Series, vol. 383 (2008), p. 397 Google Scholar
  95. B.W. Lites, Space Sci. Rev. 144, 197 (2009) ADSCrossRefGoogle Scholar
  96. B.W. Lites, K.D. Leka, A. Skumanich, V. Martinez Pillet, T. Shimizu, Astrophys. J. 460, 1019 (1996) ADSCrossRefGoogle Scholar
  97. B.W. Lites, A. Skumanich, V. Martinez Pillet, Astron. Astrophys. 333, 1053 (1998) ADSGoogle Scholar
  98. B.W. Lites, M. Kubo, H. Socas-Navarro, T. Berger, Z. Frank, R. Shine, T. Tarbell, A. Title, K. Ichimoto, Y. Katsukawa, S. Tsuneta, Y. Suematsu, T. Shimizu, S. Nagata, Astrophys. J. 672, 1237 (2008) ADSCrossRefGoogle Scholar
  99. M. Lockwood, A.P. Rouillard, I.D. Finch, Astrophys. J. 700, 937 (2009) ADSCrossRefGoogle Scholar
  100. D.W. Longcope, G.H. Fisher, Astrophys. J. 458, 380 (1996) ADSCrossRefGoogle Scholar
  101. D.W. Longcope, I. Klapper, Astrophys. J. 488, 443 (1997) ADSCrossRefGoogle Scholar
  102. D.W. Longcope, B.T. Welsch, Astrophys. J. 545, 1089 (2000) ADSCrossRefGoogle Scholar
  103. D.W. Longcope, G.H. Fisher, A.A. Pevtsov, Astrophys. J. 507, 417 (1998) ADSCrossRefGoogle Scholar
  104. K.B. MacGregor, P. Charbonneau, Astrophys. J. 519, 911 (1999) ADSCrossRefGoogle Scholar
  105. D.H. Mackay, in Solar Prominences, ed. by J.-C. Vial, O. Engvold. Astrophysics and Space Science Library, vol. 415 (2015), p. 355 Google Scholar
  106. D. Mackay, A. Yeates, Living Rev. Sol. Phys. 9 (2012) Google Scholar
  107. D.H. Mackay, C.R. DeVore, S.K. Antiochos, Astrophys. J. 784, 164 (2014) ADSCrossRefGoogle Scholar
  108. D. MacTaggart, A.W. Hood, Astrophys. J. Lett. 716, L219 (2010) ADSCrossRefGoogle Scholar
  109. S.F. Martin, S.H.B. Livi, J. Wang, Aust. J. Phys. 38, 929 (1985) ADSCrossRefGoogle Scholar
  110. M.J. Martínez González, L.R. Bellot Rubio, Astrophys. J. 700, 1391 (2009) ADSCrossRefGoogle Scholar
  111. V. Martínez Pillet, Space Sci. Rev. 178, 141 (2013) ADSCrossRefGoogle Scholar
  112. F. Meyer, H.U. Schmidt, N.O. Weiss, Mon. Not. R. Astron. Soc. 179, 741 (1977) ADSCrossRefGoogle Scholar
  113. K.A. Meyer, D.H. Mackay, A.A. van Ballegooijen, C.E. Parnell, Sol. Phys. 272, 29 (2011) ADSCrossRefGoogle Scholar
  114. M.S. Miesch, M. Dikpati, Astrophys. J. Lett. 785, L8 (2014) ADSCrossRefGoogle Scholar
  115. H.K. Moffatt, J. Fluid Mech. 35, 117 (1969) ADSCrossRefGoogle Scholar
  116. H.K. Moffatt, Magnetic field generation in electrically conducting fluids (1978) Google Scholar
  117. H.K. Moffatt, R.L. Ricca, in Royal Society of London (1992), pp. 411–429 Google Scholar
  118. F. Moreno-Insertis, P. Caligari, M. Schüessler, Sol. Phys. 153, 449 (1994) ADSCrossRefGoogle Scholar
  119. F. Moreno-Insertis, P. Caligari, M. Schüssler, Astrophys. J. 452, 894 (1995) ADSCrossRefGoogle Scholar
  120. N.J. Nelson, B.P. Brown, A.S. Brun, M.S. Miesch, J. Toomre, Astrophys. J. Lett. 739, L38 (2011) ADSCrossRefGoogle Scholar
  121. N.J. Nelson, B.P. Brown, A.S. Brun, M.S. Miesch, J. Toomre, Astrophys. J. 762, 73 (2013) ADSCrossRefGoogle Scholar
  122. N.J. Nelson, B.P. Brown, A. Sacha Brun, M.S. Miesch, J. Toomre, Sol. Phys. 289, 441 (2014) ADSCrossRefGoogle Scholar
  123. A. Ortiz, L.R. Bellot Rubio, V.H. Hansteen, J. de la Cruz Rodríguez, L. Rouppe van der Voort, Astrophys. J. 781, 126 (2014) ADSCrossRefGoogle Scholar
  124. M. Ossendrijver, M. Stix, A. Brandenburg, Astron. Astrophys. 376, 713 (2001) ADSCrossRefGoogle Scholar
  125. E. Pariat, G. Aulanier, B. Schmieder, M.K. Georgoulis, D.M. Rust, P.N. Bernasconi, Astrophys. J. 614, 1099 (2004) ADSCrossRefGoogle Scholar
  126. E.N. Parker, Astrophys. J. 121, 491 (1955) ADSCrossRefGoogle Scholar
  127. C.E. Parnell, Sol. Phys. 200, 23 (2001) ADSCrossRefGoogle Scholar
  128. A.A. Pevtsov, R.C. Canfield, T.R. Metcalf, Astrophys. J. Lett. 425, L117 (1994) ADSCrossRefGoogle Scholar
  129. A.A. Pevtsov, R.C. Canfield, T.R. Metcalf, Astrophys. J. Lett. 440, L109 (1995) ADSCrossRefGoogle Scholar
  130. A.A. Pevtsov, M.A. Berger, A. Nindos, A.A. Norton, L. van Driel-Gesztelyi, Space Sci. Rev. 186, 285 (2014) ADSCrossRefGoogle Scholar
  131. J. Pietarila Graham, S. Danilovic, M. Schüssler, Astrophys. J. 693, 1728 (2009) ADSCrossRefGoogle Scholar
  132. R.F. Pinto, A.S. Brun, Astrophys. J. 772, 55 (2013) ADSCrossRefGoogle Scholar
  133. K.-H. Rädler, Astron. Nachr. 301, 101 (1980) CrossRefGoogle Scholar
  134. S.P. Rajaguru, H.M. Antia, Astrophys. J. 813, 114 (2015) ADSCrossRefGoogle Scholar
  135. M.D. Rempel, Struktur und Ursprung starker Magnetfelder am Boden der solaren Konvektionszone (Niedersächsische Staats-und Universitätsbibliothek) (2001) Google Scholar
  136. M. Rempel, Astrophys. J. 655, 651 (2007) ADSCrossRefGoogle Scholar
  137. M. Rempel, Astrophys. J. 789, 132 (2014) ADSCrossRefGoogle Scholar
  138. M. Rempel, Astrophys. J. 814, 125 (2015) ADSCrossRefGoogle Scholar
  139. M. Rempel, M.C.M. Cheung, Astrophys. J. 785, 90 (2014) ADSCrossRefGoogle Scholar
  140. M. Rempel, M. Schüssler, Astrophys. J. Lett. 552, L171 (2001) ADSCrossRefGoogle Scholar
  141. P. Riley, J.A. Linker, Z. Mikić, R. Lionello, S.A. Ledvina, J.G. Luhmann, Astrophys. J. 653, 1510 (2006) ADSCrossRefGoogle Scholar
  142. G. Rüdiger, A. Brandenburg, V.V. Pipin, Astron. Nachr. 320, 135 (1999) ADSCrossRefGoogle Scholar
  143. A.S. Savcheva, L.M. Green, A.A. van Ballegooijen, E.E. DeLuca, Astrophys. J. 759(2), 105 (2012) ADSCrossRefGoogle Scholar
  144. A. Schad, J. Timmer, M. Roth, Astrophys. J. Lett. 778, L38 (2013) ADSCrossRefGoogle Scholar
  145. R. Schlichenmaier, N. Bello González, R. Rezaei, T.A. Waldmann, Astron. Nachr. 331, 563 (2010) ADSCrossRefGoogle Scholar
  146. B. Schmieder, P. Demoulin, G. Aulanier, L. Golub, Astrophys. J. 467, 881 (1996) ADSCrossRefGoogle Scholar
  147. B. Schmieder, V. Archontis, E. Pariat, Space Sci. Rev. 186, 227 (2014) ADSCrossRefGoogle Scholar
  148. J. Schou, H.M. Antia, S. Basu, R.S. Bogart, R.I. Bush, S.M. Chitre, J. Christensen-Dalsgaard, M.P. Di Mauro, W.A. Dziembowski, A. Eff-Darwich, D.O. Gough, D.A. Haber, J.T. Hoeksema, R. Howe, S.G. Korzennik, A.G. Kosovichev, R.M. Larsen, F.P. Pijpers, P.H. Scherrer, T. Sekii, T.D. Tarbell, A.M. Title, M.J. Thompson, J. Toomre, Astrophys. J. 505, 390 (1998) ADSCrossRefGoogle Scholar
  149. C.J. Schrijver, M.L. De Rosa, Sol. Phys. 212, 165 (2003) ADSCrossRefGoogle Scholar
  150. C.J. Schrijver, K.L. Harvey, Sol. Phys. 150, 1 (1994) ADSCrossRefGoogle Scholar
  151. C.J. Schrijver, A.M. Title, A.A. van Ballegooijen, H.J. Hagenaar, R.A. Shine, Astrophys. J. 487, 424 (1997) ADSCrossRefGoogle Scholar
  152. M. Schüssler, Astron. Astrophys. 94, L17 (1981) ADSGoogle Scholar
  153. M. Schüssler, A. Vögler, Astron. Astrophys. 481, L5 (2008) ADSCrossRefGoogle Scholar
  154. M. Schüssler, P. Caligari, A. Ferriz-Mas, F. Moreno-Insertis, Astron. Astrophys. 281, L69 (1994) ADSGoogle Scholar
  155. M. Schüssler, P. Caligari, A. Ferriz-Mas, S.K. Solanki, M. Stix, Astron. Astrophys. 314, 503 (1996) ADSGoogle Scholar
  156. N. Seehafer, Sol. Phys. 125, 219 (1990) ADSCrossRefGoogle Scholar
  157. N. Seehafer, Phys. Rev. A 53, 1283 (1996) ADSGoogle Scholar
  158. G.W. Simon, A.M. Title, N.O. Weiss, Astrophys. J. 561, 427 (2001) ADSCrossRefGoogle Scholar
  159. H.C. Spruit, Astron. Astrophys. 98, 155 (1981) ADSGoogle Scholar
  160. H.C. Spruit, Sol. Phys. 213, 1 (2003) ADSCrossRefGoogle Scholar
  161. H.C. Spruit, A.A. van Ballegooijen, Astron. Astrophys. 106, 58 (1982) ADSGoogle Scholar
  162. R.F. Stein, Å. Nordlund, Astrophys. J. Lett. 753, L13 (2012) ADSCrossRefGoogle Scholar
  163. A.C. Sterling, C. Chifor, H.E. Mason, R.L. Moore, P.R. Young, Astron. Astrophys. 521, A49 (2010) ADSCrossRefGoogle Scholar
  164. M. Stix, Astron. Astrophys. 47, 243 (1976) ADSGoogle Scholar
  165. L.H. Strous, C. Zwaan, Astrophys. J. 527, 435 (1999) ADSCrossRefGoogle Scholar
  166. I. Thaler, H.C. Spruit, Astron. Astrophys. 578, A54 (2015) ADSCrossRefGoogle Scholar
  167. M.J. Thompson, J. Toomre, E.R. Anderson, H.M. Antia, G. Berthomieu, D. Burtonclay, S.M. Chitre, J. Christensen-Dalsgaard, T. Corbard, M. De Rosa, C.R. Genovese, D.O. Gough, D.A. Haber, J.W. Harvey, F. Hill, R. Howe, S.G. Korzennik, A.G. Kosovichev, J.W. Leibacher, F.P. Pijpers, J. Provost, E.J. Rhodes Jr., J. Schou, T. Sekii, P.B. Stark, P.R. Wilson, Science 272, 1300 (1996) ADSCrossRefGoogle Scholar
  168. M.J. Thompson, J. Christensen-Dalsgaard, M.S. Miesch, J. Toomre, Annu. Rev. Astron. Astrophys. 41, 599 (2003) ADSCrossRefGoogle Scholar
  169. L. Tian, S. Bao, H. Zhang, H. Wang, Astron. Astrophys. 374, 294 (2001) ADSCrossRefGoogle Scholar
  170. S.M. Tobias, F. Cattaneo, S. Boldyrev, in Ten Chapters in Turbulence (Cambridge University Press, Cambridge, 2013) Google Scholar
  171. S. Tomczyk, J. Schou, M.J. Thompson, Astrophys. J. Lett. 448, L57 (1995) ADSCrossRefGoogle Scholar
  172. S. Toriumi, Y. Iida, K. Kusano, Y. Bamba, S. Imada, Sol. Phys. 289, 3351 (2014) ADSCrossRefGoogle Scholar
  173. J. Trujillo Bueno, N. Shchukina, A. Asensio Ramos, Nature 430, 326 (2004) ADSCrossRefGoogle Scholar
  174. A.A. van Ballegooijen, Astron. Astrophys. 113, 99 (1982) ADSGoogle Scholar
  175. A.A. van Ballegooijen, D.H. Mackay, Astrophys. J. 659, 1713 (2007) ADSCrossRefGoogle Scholar
  176. A.A. van Ballegooijen, P.C.H. Martens, Astrophys. J. 343, 971 (1989) ADSCrossRefGoogle Scholar
  177. L. van Driel-Gesztelyi, L.M. Green, Living Rev. Sol. Phys. 8 (2015) Google Scholar
  178. L. van Driel-Gesztelyi, J.-M. Malherbe, P. Démoulin, Astron. Astrophys. 364, 845 (2000) ADSGoogle Scholar
  179. L. van Driel-Gesztelyi, P. Démoulin, C.H. Mandrini, L. Harra, J.A. Klimchuk, Astrophys. J. 586, 579 (2003) ADSCrossRefGoogle Scholar
  180. A. Vögler, M. Schüssler, Astron. Astrophys. 465, L43 (2007) CrossRefGoogle Scholar
  181. Y.-M. Wang, Astrophys. J. Lett. 775, L46 (2013) ADSCrossRefGoogle Scholar
  182. Y.-M. Wang, Space Sci. Rev. (2016). doi: 10.1007/s11214-016-0257-0 Google Scholar
  183. J. Wang, Z. Shi, Sol. Phys. 143, 119 (1993) ADSCrossRefGoogle Scholar
  184. Y.-M. Wang, A.G. Nash, N.R. Sheeley Jr., Science 245, 712 (1989) ADSCrossRefGoogle Scholar
  185. Y.-M. Wang, J. Lean, N.R. Sheeley Jr., Geophys. Res. Lett. 27, 505 (2000) ADSCrossRefGoogle Scholar
  186. D.F. Webb, T.A. Howard, Living Rev. Sol. Phys. 9 (2012) Google Scholar
  187. M.A. Weber, Y. Fan, M.S. Miesch, Astrophys. J. 741, 11 (2011) ADSCrossRefGoogle Scholar
  188. M.A. Weber, Y. Fan, M.S. Miesch, Sol. Phys. 287, 239 (2013) ADSCrossRefGoogle Scholar
  189. L. Woltjer, Proc. Natl. Acad. Sci. USA 44, 489 (1958) ADSMathSciNetCrossRefGoogle Scholar
  190. W.H. Yang, P.A. Sturrock, S.K. Antiochos, Astrophys. J. 309, 383 (1986) ADSCrossRefGoogle Scholar
  191. S.L. Yardley, L.M. Green, D.R. Williams, L. van Driel-Gesztelyi, G. Valori, S. Dacie, ArXiv e-prints: 1606.08264 (2016)
  192. A.R. Yeates, A. Muñoz-Jaramillo, Mon. Not. R. Astron. Soc. 436, 3366 (2013) ADSCrossRefGoogle Scholar
  193. J. Zhao, R.S. Bogart, A.G. Kosovichev, T.L. Duvall Jr., T. Hartlep, Astrophys. J. Lett. 774, L29 (2013) ADSCrossRefGoogle Scholar
  194. C. Zwaan, Sol. Phys. 60, 213 (1978) ADSCrossRefGoogle Scholar
  195. C. Zwaan, Sol. Phys. 100, 397 (1985) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • M. C. M. Cheung
    • 1
    • 2
  • L. van Driel-Gesztelyi
    • 3
    • 4
    • 5
  • V. Martínez Pillet
    • 6
  • M. J. Thompson
    • 7
  1. 1.Lockheed Martin Solar & Astrophysics LaboratoryPalo AltoUSA
  2. 2.National Astronomical Observatory of JapanMitakaJapan
  3. 3.Mullard Space Science LaboratoryUniversity College LondonDorkingUK
  4. 4.Konkoly Observatory, Research Centre for Astronomy and Earth SciencesHungarian Academy of SciencesBudapestHungary
  5. 5.Observatoire de Paris, LESIA, CNRS, UPMCUniversité Paris DiderotMeudon Principal CedexFrance
  6. 6.National Solar ObservatoryBoulderUSA
  7. 7.National Center for Atmospheric ResearchBoulderUSA

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