Advertisement

Solar Physics

, Volume 248, Issue 2, pp 311–322 | Cite as

Multiscale Analysis of Active Region Evolution

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

Abstract

Flows in the photosphere of solar active regions are turbulent in nature. Because magnetic fields are frozen into the plasma on the solar surface, magnetograms can be used to investigate the processes responsible for structuring active regions. Here, a continuous wavelet technique is developed, analyzed, and used to investigate the multiscale structure of an evolving active region using magnetograms obtained by the Michelson Doppler Imager (MDI) onboard the Solar and Heliospheric Observatory (SOHO). The multiscale structure was measured using a 2D continuous wavelet technique to extract the energy spectrum of the region over the time scale of 13 days. Preliminary evidence of an inverse cascade in active region NOAA 10488 is presented as well as a potential relationship between energy scaling and flare productivity.

Keywords

Sun: magnetic field Turbulence Wavelets Energy spectrum 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abramenko, V.I.: 2005a, Astrophys. J. 629, 1141. CrossRefADSGoogle Scholar
  2. Abramenko, V.I.: 2005b, Solar Phys. 228, 29. CrossRefADSGoogle Scholar
  3. Abramenko, V., Yurchyshyn, V., Wang, H., Goode, P.R.: 2001, Solar Phys. 201, 225. CrossRefADSGoogle Scholar
  4. Addison, P.: 2002, The Illustrated Wavelet Transform Handbook, Institute of Physics Publishing, Bristol. zbMATHGoogle Scholar
  5. Boldyrev, S.: 2005, Astrophys. J. 626, L37. CrossRefADSGoogle Scholar
  6. Boldyrev, S.: 2006, Phys. Rev. Lett. 96, 115002. CrossRefADSGoogle Scholar
  7. Chertkov, M., Connaughton, C., Kolokolov, I., Lebedev, V.: 2006, Phys. Rev. Lett. 99, 084501. CrossRefADSGoogle Scholar
  8. Conlon, P.A., Gallagher, P.T., McAteer, R.T.J., Ireland, J., Young, C.A., Hewett, R.J., Maguire, K.: 2007. Solar Phys., submitted. Google Scholar
  9. Daubechies, I.: 1992, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia. zbMATHGoogle Scholar
  10. Domingo, V., Fleck, B., Poland, A.I.: 1995, Solar Phys. 162, 1. CrossRefADSGoogle Scholar
  11. Farge, M., Kevlahan, N., Perrier, V., Goirand, E.: 1996, Proc. IEEE 84, 639. CrossRefGoogle Scholar
  12. Farge, M., Schneider, K.: 2006, In: Françoise, J.P., et al. (eds.) Encyclopedia of Mathematics Physics, Elsevier, Amsterdam. Google Scholar
  13. Gallagher, P.T., Moon, Y.-J., Wang, H.: 2002, Solar Phys. 2, 171. CrossRefADSGoogle Scholar
  14. Iroshnikov, P.S.: 1963, Astron. Zh. 40, 742. ADSGoogle Scholar
  15. Ishizawa, A., Hattori, Y.: 1998, J. Phys. Soc. Japan 67, 441. zbMATHCrossRefADSGoogle Scholar
  16. Kolmogorov, A.N.: 1941, R. Acad. Sci. U.S.S.R. 30, 301; 30, 538 (translated in R. Soc. Lond. Proc. Ser. A 434). Google Scholar
  17. Kraichnan, R.H.: 1965, Phys. Fluids 8, 1385. CrossRefADSMathSciNetGoogle Scholar
  18. Lawrence, J.K., Cadavid, A.C., Ruzmaikin, A.A.: 1995, Phys. Rev. E 51, 316. CrossRefADSGoogle Scholar
  19. McAteer, R.T.J., Gallagher, P.T., Ireland, J.: 2005, Astrophys. J. 631, 628. CrossRefADSGoogle Scholar
  20. McAteer, R.T.J., Gallagher, P.T., Ireland, J., Young, C.A.: 2005, Solar Phys. 228, 55. CrossRefADSGoogle Scholar
  21. Perrier, V., Philipovitch, T., Basdevant, C.: 1995, J. Math. Phys. 36, 1506. zbMATHCrossRefADSMathSciNetGoogle Scholar
  22. Scherrer, P.H., et al.: 1995, Solar Phys. 162, 129. CrossRefADSGoogle Scholar
  23. Tao, L., Du, Y., Rosner, R., Cattaneo, F.: 1995, Astrophys. J. 443, 434. CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • R. J. Hewett
    • 1
  • P. T. Gallagher
    • 2
  • R. T. J. McAteer
    • 3
    • 4
  • C. A. Young
    • 4
  • J. Ireland
    • 4
  • P. A. Conlon
    • 2
  • K. Maguire
    • 5
  1. 1.University of Illinois at Urbana-Champaign, Siebel Center for Computer ScienceUrbanaUSA
  2. 2.Astrophysics Research Group, School of PhysicsTrinity College DublinDublin 2Ireland
  3. 3.Institute for Astrophysics and Computational Sciences, Department of PhysicsCatholic University of AmericaWashingtonUSA
  4. 4.ADNET SystemsRockvilleUSA
  5. 5.School of PhysicsUniversity College DublinBelfield, Dublin 4Ireland

Personalised recommendations