Advertisement

Solar Physics

, Volume 248, Issue 2, pp 297–309 | Cite as

Multifractal Properties of Evolving Active Regions

  • P. A. Conlon
  • P. T. Gallagher
  • R. T. J. McAteer
  • J. Ireland
  • C. A. Young
  • P. Kestener
  • R. J. Hewett
  • K. Maguire
Article

Abstract

Magnetohydrodynamic turbulence is thought to be responsible for producing complex, multiscale magnetic field distributions in solar active regions. Here we explore the multiscale properties of a number of evolving active regions using magnetograms from the Michelson Doppler Imager (MDI) on the Solar and Heliospheric Observatory (SOHO). The multifractal spectrum was obtained by using a modified box-counting method to study the relationship between magnetic-field multifractality and region evolution and activity. The initial emergence of each active region was found to be accompanied by characteristic changes in the multifractal spectrum. Specifically, the range of multifractal structures (D div) was found to increase during emergence, as was their significance or support (C div). Following this, a decrease in the range in multifractal structures occurred as the regions evolved to become large-scale, coherent structures. From the small sample considered, evidence was found for a direct relationship between the multifractal properties of the flaring regions and their flaring rate.

Keywords

Active regions Magnetic fields Turbulence 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abbett, W.P., Fisher, G.H.: 2003, Astrophys. J. 582, 475. CrossRefADSGoogle Scholar
  2. Abramenko, V.I.: 2005a, Astrophys. J. 629, 1141. CrossRefADSGoogle Scholar
  3. Abramenko, V.I.: 2005b, Solar Phys. 228, 29. CrossRefADSGoogle Scholar
  4. Abramenko, V.I., Yurchyshyn, V.B., Wang, H., Spirock, T.J., Goode, P.R.: 2002, Astrophys. J. 577, 487. CrossRefADSGoogle Scholar
  5. Alber, M., Peinke, J.: 1998, Phys. Rev. E 57, 5489. CrossRefADSGoogle Scholar
  6. Aschwanden, M.J.: 2005, Physics of the Solar Corona, Praxis, Chichester, 257. Google Scholar
  7. Berger, T.E., Lites, B.W.: 2003, Solar Phys. 213, 213. CrossRefADSGoogle Scholar
  8. Bugayevskiy, L.M., Snyder, J.P.: 1995, Map Projections, Taylor, Philadelphia. Google Scholar
  9. Cadavid, A.C., Lawrence, J.K., Ruzmaikin, A.A., Kayleng-Knight, A.: 1994, Astrophys. J. 429, 391. CrossRefADSGoogle Scholar
  10. Chappell, D., Scalo, J.: 2001, Astrophys. J. 551, 712. CrossRefADSGoogle Scholar
  11. Gallagher, P.T., Moon, Y.-J., Wang, H.: 2002, Solar Phys. 209, 171. CrossRefADSGoogle Scholar
  12. Gallagher, P.T., McAteer, R.T.J., Young, C.A., Ireland, J., Hewett, R.J., Conlon, P.: 2007, In: Lilensten, J. (ed.) Space Weather: Research Towards Applications in Europe, Springer, Dordrecht, 15. Google Scholar
  13. Green, L.M., Démoulin, P., Mandrini, C.H., Van Driel-Gesztelyi, L.: 2003, Solar Phys. 215, 307. CrossRefADSGoogle Scholar
  14. Georgoulis, M.K.: 2005, Solar Phys. 228, 5. CrossRefADSGoogle Scholar
  15. Hewett, R.J., Gallagher, P.T., McAteer, R.T.J., Young, C.A., Ireland, J., Conlon, P.A., Maguire, K.: 2008, Solar Phys. in press. Google Scholar
  16. Kestener, P., Arneodo, A.: 2004, Phys. Rev. Lett. 93, 044501. CrossRefADSGoogle Scholar
  17. Lawrence, J.K., Ruzmaikin, A.A., Cadavid, A.C.: 1993, Astrophys. J. 417, 805. CrossRefADSGoogle Scholar
  18. Lawrence, J.K., Cadavid, A.C., Ruzmaikin, A.A.: 1996, Astrophys. J. 465, 425. CrossRefADSGoogle Scholar
  19. Mach, J., Mas, F.: 1997, http://www.qf.ub.es/d2/jordi/mfrac.html.
  20. Mandelbrot, B.B., Whitrow, G.J.: 1983, Brit. Astron. Assoc. 93, 238. ADSGoogle Scholar
  21. McAteer, R.T.J., Gallagher, P.T., Ireland, J.: 2005, Astrophys. J. 631, 628. CrossRefADSGoogle Scholar
  22. McAteer, R.T.J., Gallagher, P.T., Ireland, J., Young, C.A.: 2005, Solar Phys. 228, 55. CrossRefADSGoogle Scholar
  23. McAteer, R.T.J., Young, C.A., Ireland, J., Gallagher, P.T.: 2007, Astrophys. J. 662, 691. CrossRefADSGoogle Scholar
  24. Miesch, M.S.: 2005, Living Rev. Solar Phys. 2(1). http://solarphysics.livingreviews.org/Articles/lrsp-2005-1/.
  25. Parker, E.N.: 1979, Cosmical Magnetic Fields: Their Origin and Their Activity, Clarendon Press, Oxford, 43. Google Scholar
  26. Parnell, C.E.: 2001, Solar Phys. 200, 23. CrossRefADSGoogle Scholar
  27. Vlahos, L.: 2002, In: Sawaya-Lacoste, H. (ed.) SOLMAG 2002: Proceedings of the Magnetic Coupling of the Solar Atmosphere Euroconference, SP 505, ESA, Noordwijk, 105. Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • P. A. Conlon
    • 1
  • P. T. Gallagher
    • 1
  • R. T. J. McAteer
    • 2
  • J. Ireland
    • 3
  • C. A. Young
    • 3
  • P. Kestener
    • 4
  • R. J. Hewett
    • 5
  • K. Maguire
    • 6
  1. 1.Astrophysics Research Group, School of PhysicsTrinity College DublinDublinIreland
  2. 2.Catholic University of AmericaNASA Goddard Space Flight CenterGreenbeltUSA
  3. 3.ADNET Systems Inc.NASA Goddard Space Flight CenterGreenbeltUSA
  4. 4.DSM/DAPNIA/SEDICEA SaclayGif-sur-YvetteFrance
  5. 5.Computer Science DepartmentUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  6. 6.School of PhysicsUniversity College Dublin, BelfieldDublinIreland

Personalised recommendations