Solar Physics

, Volume 287, Issue 1–2, pp 293–313 | Cite as

Active Region Formation through the Negative Effective Magnetic Pressure Instability

  • Koen Kemel
  • Axel Brandenburg
  • Nathan Kleeorin
  • Dhrubaditya Mitra
  • Igor Rogachevskii
SOLAR DYNAMICS AND MAGNETISM

Abstract

The negative effective magnetic-pressure instability operates on scales encompassing many turbulent eddies, which correspond to convection cells in the Sun. This instability is discussed here in connection with the formation of active regions near the surface layers of the Sun. This instability is related to the negative contribution of turbulence to the mean magnetic pressure that causes the formation of large-scale magnetic structures. For an isothermal layer, direct numerical simulations and mean-field simulations of this phenomenon are shown to agree in many details, for example the onset of the instability occurs at the same depth. This depth increases with increasing field strength, such that the growth rate of this instability is independent of the field strength, provided the magnetic structures are fully contained within the domain. A linear stability analysis is shown to support this finding. The instability also leads to a redistribution of turbulent intensity and gas pressure that could provide direct observational signatures.

Keywords

Magnetohydrodynamics (MHD) Sun: dynamo Sunspots Turbulence 

References

  1. Arlt, R., Sule, A., Rüdiger, G.: 2007, Astron. Astrophys. 461, 295. ADSCrossRefMATHGoogle Scholar
  2. Bai, T.: 1987, Astrophys. J. 314, 795. ADSCrossRefGoogle Scholar
  3. Bai, T.: 1988, Astrophys. J. 328, 860. ADSCrossRefGoogle Scholar
  4. Benevolenskaya, E.E., Hoeksema, J.T., Kosovichev, A.G., Scherrer, P.H.: 1999, Astrophys. J. Lett. 517, L163. ADSCrossRefGoogle Scholar
  5. Bigazzi, A., Ruzmaikin, A.: 2004, Astrophys. J. 604, 944. ADSCrossRefGoogle Scholar
  6. Bogart, R.S.: 1982, Solar Phys. 76, 155. doi:10.1007/BF00214137. ADSCrossRefGoogle Scholar
  7. Brandenburg, A.: 2005, Astrophys. J. 625, 539. doi:10.1086/429584. ADSCrossRefGoogle Scholar
  8. Brandenburg, A., Kemel, K., Kleeorin, N., Mitra, D., Rogachevskii, I.: 2011, Astrophys. J. Lett. 740, L50. doi:10.1088/2041-8205/740/2/L50. ADSCrossRefGoogle Scholar
  9. Brandenburg, A., Kemel, K., Kleeorin, N., Rogachevskii, I.: 2012, Astrophys. J. 749, 179. doi:10.1088/0004-637X/749/2/179. ADSCrossRefGoogle Scholar
  10. Brandenburg, A., Kleeorin, N., Rogachevskii, I.: 2010, Astron. Nachr. 331, 5. doi:10.1002/asna.201111638. ADSCrossRefMATHGoogle Scholar
  11. Cally, P.S., Dikpati, M., Gilman, P.A.: 2003, Astrophys. J. 582, 1190. ADSCrossRefGoogle Scholar
  12. Cattaneo, F., Hughes, D.W.: 1988, J. Fluid Mech. 196, 323. ADSCrossRefGoogle Scholar
  13. Charbonneau, P.: 2010, Living Rev. Solar Phys. 7, 3. http://www.livingreviews.org/lrsp-2010-3. ADSCrossRefGoogle Scholar
  14. Choudhuri, A.R., Gilman, P.A.: 1987, Astrophys. J. 316, 788. ADSCrossRefGoogle Scholar
  15. D’Silva, S., Choudhuri, A.R.: 1993, Astron. Astrophys. 272, 621. ADSGoogle Scholar
  16. Epstein, T.: 1904, Astron. Nachr. 166, 333. ADSCrossRefGoogle Scholar
  17. Fan, Y.: 2009, Living Rev. Solar Phys. 6, 4. http://www.livingreviews.org/lrsp-2009-4. ADSCrossRefGoogle Scholar
  18. Golub, L., Vaiana, G.S.: 1980, Astrophys. J. Lett. 235, L119. ADSCrossRefGoogle Scholar
  19. Golub, L., Rosner, R., Vaiana, G.S., Weiss, N.O.: 1981, Astrophys. J. 243, 309. ADSCrossRefGoogle Scholar
  20. Hindman, B.W., Haber, D.A., Toomre, J.: 2009, Astrophys. J. 698, 1749. ADSCrossRefGoogle Scholar
  21. Hughes, D.W., Proctor, M.R.E.: 1988, Ann. Rev. Fluid Dyn. 20, 187. ADSCrossRefGoogle Scholar
  22. Ilonidis, S., Zhao, J., Kosovichev, A.: 2011, Science 333, 993. ADSCrossRefGoogle Scholar
  23. Isobe, H., Miyagoshi, T., Shibata, K., Yokoyama, T.: 2005, Nature 434, 478. ADSCrossRefGoogle Scholar
  24. Käpylä, P.J., Brandenburg, A., Kleeorin, N., Mantere, M.J., Rogachevskii, I.: 2012, Mon. Not. Roy. Astron. Soc. doi:10.1111/j.1365-2966.2012.20801.x, arXiv:1105.5785. MATHGoogle Scholar
  25. Kemel, K., Brandenburg, A., Kleeorin, N., Mitra, D., Rogachevskii, I.: 2012a, Solar Phys. doi:10.1007/s11207-012-9949-0, arXiv:1112.0279. MATHGoogle Scholar
  26. Kemel, K., Brandenburg, A., Kleeorin, N., Rogachevskii, I.: 2012b, Astron. Nachr. 333, 95. doi:10.1002/asna.201111638. ADSCrossRefGoogle Scholar
  27. Kersalé, E., Hughes, D.W., Tobias, S.M.: 2007, Astrophys. J. Lett. 663, L113. ADSCrossRefGoogle Scholar
  28. Kitchatinov, L.L., Mazur, M.V.: 2000, Solar Phys. 191, 325. doi:10.1023/A:1005213708194. ADSCrossRefGoogle Scholar
  29. Kitchatinov, L.L., Rüdiger, G.: 2005, Astron. Nachr. 326, 379. ADSCrossRefMATHGoogle Scholar
  30. Kitiashvili, I.N., Kosovichev, A.G., Wray, A.A., Mansour, N.N.: 2010, Astrophys. J. 719, 307. ADSCrossRefGoogle Scholar
  31. Kleeorin, N., Mond, M., Rogachevskii, I.: 1996, Astron. Astrophys. 307, 293. ADSGoogle Scholar
  32. Kleeorin, N., Rogachevskii, I.: 1994, Phys. Rev. E 50, 2716. ADSCrossRefGoogle Scholar
  33. Kleeorin, N.I., Rogachevskii, I.V., Ruzmaikin, A.A.: 1989, Sov. Astron. Lett. 15, 274. ADSGoogle Scholar
  34. Kleeorin, N.I., Rogachevskii, I.V., Ruzmaikin, A.A.: 1990, Sov. Phys. JETP 70, 878. Google Scholar
  35. Kosovichev, A.G.: 2002, Astron. Nachr. 323, 186. ADSCrossRefGoogle Scholar
  36. Kosovichev, A.G., Stenflo, J.O.: 2008, Astrophys. J. Lett. 688, L115. ADSCrossRefGoogle Scholar
  37. Parker, E.N.: 1966, Astrophys. J. 145, 811. ADSCrossRefGoogle Scholar
  38. Parker, E.N.: 1979, Cosmical Magnetic Fields, Oxford University Press, New York. Google Scholar
  39. Pipin, V.V., Kosovichev, A.G.: 2011, Astrophys. J. Lett. 727, L45. ADSCrossRefGoogle Scholar
  40. Rempel, M.: 2011a, Astrophys. J. 729, 5. ADSCrossRefGoogle Scholar
  41. Rempel, M.: 2011b, Astrophys. J. 740, 15. ADSCrossRefGoogle Scholar
  42. Rieutord, M., Zahn, J.-P.: 1995, Astron. Astrophys. 296, 127. ADSGoogle Scholar
  43. Rogachevskii, I., Kleeorin, N.: 2007, Phys. Rev. E 76, 056307. MathSciNetADSCrossRefGoogle Scholar
  44. Ruzmaikin, A.: 1998, Solar Phys. 181, 1. doi:10.1023/A:1016563632058. ADSCrossRefGoogle Scholar
  45. Sanford, F.: 1941, Science 94, 18. ADSCrossRefGoogle Scholar
  46. Schatten, K.H.: 2007, Astrophys. J. Suppl. 169, 137. ADSCrossRefGoogle Scholar
  47. Schüssler, M., Caligari, P., Ferriz-Mas, A., Moreno-Insertis, F.: 1994, Astron. Astrophys. Lett. 281, L69. ADSGoogle Scholar
  48. Spruit, H.C.: 1974, Solar Phys. 34, 277. doi:10.1007/BF00153665. ADSCrossRefGoogle Scholar
  49. Stein, R.F., Lagerfjärd, A., Nordlund, Å., Georgobiani, D.: 2011, Solar Phys. 268, 271. ADSCrossRefGoogle Scholar
  50. Stein, R.F., Leibacher, J.: 1974, Ann. Rev. Astron. Astrophys. 12, 407. ADSCrossRefGoogle Scholar
  51. Stenflo, J.O., Kosovichev, A.G.: 2012, Astrophys. J. 745, 129. ADSCrossRefGoogle Scholar
  52. Tao, L., Weiss, N.O., Brownjohn, D.P., Proctor, M.R.E.: 1998, Astrophys. J. Lett. 496, L39. ADSCrossRefGoogle Scholar
  53. Tayler, R.J.: 1973, Mon. Not. Roy. Astron. Soc. 161, 365. ADSGoogle Scholar
  54. Vitinskij, J.I.: 1969, Solar Phys. 7, 210. doi:10.1007/BF00224899. ADSCrossRefGoogle Scholar
  55. Wissink, J.G., Hughes, D.W., Matthews, P.C., Proctor, M.R.E.: 2000, Mon. Not. Roy. Astron. Soc. 318, 501. ADSCrossRefGoogle Scholar
  56. Zhao, J., Kosovichev, A.G., Duvall, T.L. Jr.: 2001, Astrophys. J. 557, 384. ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Koen Kemel
    • 1
    • 2
  • Axel Brandenburg
    • 1
    • 2
  • Nathan Kleeorin
    • 1
    • 3
  • Dhrubaditya Mitra
    • 1
  • Igor Rogachevskii
    • 1
    • 3
  1. 1.NorditaRoyal Institute of Technology and Stockholm UniversityStockholmSweden
  2. 2.Department of AstronomyStockholm UniversityStockholmSweden
  3. 3.Department of Mechanical EngineeringBen-Gurion University of the NegevBeer-ShevaIsrael

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