Skip to main content
Log in

Parameters of the Magnetic Flux inside Coronal Holes

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

The parameters of the magnetic flux distribution inside low-latitude coronal holes (CHs) were analyzed. A statistical study of 44 CHs based on Solar and Heliospheric Observatory (SOHO)/MDI full disk magnetograms and SOHO/EIT 284 Å images showed that the density of the net magnetic flux, B net, does not correlate with the associated solar wind speeds, V x . Both the area and net flux of CHs correlate with the solar wind speed and the corresponding spatial Pearson correlation coefficients are 0.75 and 0.71, respectively. A possible explanation for the low correlation between B net and V x is proposed. The observed non-correlation might be rooted in the structural complexity of the magnetic field. As a measure of the complexity of the magnetic field, the filling factor, f(r), was calculated as a function of spatial scales. In CHs, f(r) was found to be nearly constant at scales above 2 Mm, which indicates a monofractal structural organization and smooth temporal evolution. The magnitude of the filling factor is 0.04 from the Hinode SOT/SP data and 0.07 from the MDI/HR data. The Hinode data show that at scales smaller than 2 Mm, the filling factor decreases rapidly, which means a multifractal structure and highly intermittent, burst-like energy release regime. The absence of the necessary complexity in CH magnetic fields at scales above 2 Mm seems to be the most plausible reason why the net magnetic flux density does not seem to be related to the solar wind speed: the energy release dynamics, needed for solar wind acceleration, appears to occur at small scales below 1 Mm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abramenko, V.I.: 2005, Solar Phys. 228, 29.

    Article  ADS  Google Scholar 

  • Abramenko, V.I.: 2008, In: Wang, P. (ed.) Solar Physics Research Trends, Nova Science Publishers, Inc., New York, 95.

    Google Scholar 

  • Abramenko, V.I., Fisk, L.A., Yurchyshyn, V.B.: 2006, Astrophys. J. 641, L65.

    Article  ADS  Google Scholar 

  • Abramenko, V.I., Yurchyshyn, V.B., Wang, H.: 2008, Astrophys. J. 681, 1669.

    Article  ADS  Google Scholar 

  • Abramenko, V.I., Yurchyshyn, V.B., Wang, H., Spirock, T.J., Goode, P.R.: 2002, Astrophys. J. 577, 487.

    Article  ADS  Google Scholar 

  • Abramenko, V.I., Yurchyshyn, V.B., Wang, H., Spirock, T.J., Goode, P.R.: 2003, Astrophys. J. 597, 1135.

    Article  ADS  Google Scholar 

  • Arge, C.N., Luhmann, J.G., Odstrcil, D., Schrijver, C.J., Li, Y.: 2004, J. Atmos. Solar Terr. Phys. 66, 1295.

    Article  ADS  Google Scholar 

  • Baker, D., van Driel-Gesztelyi, L., Kamio, S., Culhane, J.L., Harra, L.K., Sun, J., Young, P.R., Matthews, S.A.: 2008, In: Matthews, S.A., Davis, J.M., Harra, L.K. (eds.) First Results From Hinode, ASP Conf. Ser. 397, 23.

  • Balke, A.C., Schrijver, C.J., Zwaan, C., Tarbell, T.D.: 1993, Solar Phys. 143, 215.

    Article  ADS  Google Scholar 

  • Berger, T.E., Schrijver, C.J., Shine, R.A., Tarbell, T.D., Title, A.M., Scharmer, G.: 1995, Astrophys. J. 454, 531.

    Article  ADS  Google Scholar 

  • Berger, T.E., Rouppe van der Voort, L.H.M., Lofdahl, M.G., Carlsson, M., Fossum, A., Hansteen, V.H., Marthinussen, E., Title, A., Scharmer, G.: 2004, Astron. Astrophys. 428, 613.

    Article  ADS  Google Scholar 

  • Bumba, V., Klvana, M., Sykora, J.: 1995, Astron. Astrophys. 298, 923.

    ADS  Google Scholar 

  • Delaboudiniere, J.-P., Artzner, G.E., Brunaud, J., Gabriel, A.H., Hochedez, J.F., Millier, F., et al.: 1995, Solar Phys. 162, 291.

    Article  ADS  Google Scholar 

  • Fisk, L.A.: 1996, J. Geophys. Res. 101, 15547.

    Article  ADS  Google Scholar 

  • Fisk, L.A.: 2001, J. Geophys. Res. 106, 15849.

    Article  ADS  Google Scholar 

  • Fisk, L.A.: 2005, Astrophys. J. 626, 563.

    Article  ADS  Google Scholar 

  • Fisk, L.A., Zurbuchen, T.H., Schwadron, N.A.: 1999, Astrophys. J. 521, 868.

    Article  ADS  Google Scholar 

  • Frisch, U.: 1995, Turbulence, The Legacy of A.N. Kolmogorov, Cambridge University Press, Cambridge, 296.

    MATH  Google Scholar 

  • Hagenaar, H.J., DeRosa, M.L., Schrijver, C.J.: 2008, Astrophys. J. 678, 541.

    Article  ADS  Google Scholar 

  • Harvey, J., Krieger, A.S., Timothy, A.F., Vaiana, G.S.: 1975, Oss. Mem. Oss. Arcetri 104, 50.

    Google Scholar 

  • Harvey, J.W., Sheeley, N.R. Jr.: 1979, Space Sci. Rev. 23, 139.

    ADS  Google Scholar 

  • Harvey, K.L., Harvey, J.W., Sheeley, N.R. Jr.: 1982, Solar Phys. 79, 149.

    Article  ADS  Google Scholar 

  • Ichimoto, K., Lites, B., Elmore, D., Suematsu, Y., Tsuneta, S., Katsukawa, Y., et al.: 2008, Solar Phys. 249, 233.

    Article  ADS  Google Scholar 

  • Ireland, J., Gallagher, P.T., McAteer, R.T.J.: 2004, In: Dupree, A.K., Benz, A.O. (eds.), Stars as Suns: Activity, Evolution and Planets, IAU Symp. 219, 255.

  • Janssen, K., Vogler, A., Kneer, F.: 2003, Astron. Astrophys. 409, 1127.

    Article  ADS  Google Scholar 

  • Kamio, S., Hara, H., Watanabe, T., Matsuzaki, K., Shibata, K., Culhane, L., Warren, H.P.: 2007, Publ. Astron. Soc. Japan 59, S757.

    Google Scholar 

  • Lamb, D.A., DeForest, C.E., Hagenaar, H.J., Parnell, C.E., Welsch, B.T.: 2008, Astrophys. J. 674, 520.

    Article  ADS  Google Scholar 

  • Lawrence, J.K., Ruzmaikin, A.A., Cadavid, A.C.: 1993, Astrophys. J. 417, 805.

    Article  ADS  Google Scholar 

  • Longcope, D.W., Parnell, C.E.: 2008, Solar Phys. 254, 51.

    Article  ADS  Google Scholar 

  • McAteer, R.T.J., Gallagher, P.T., Ireland, J.: 2005, Astrophys. J. 631.

  • Meunier, N.: 1999, Astrophys. J. 515, 801.

    Article  ADS  Google Scholar 

  • Moreno-Insertis, F., Galsgaard, K., Ugarte-Urra, I.: 2008, Astrophys. J. 673, L211.

    Article  ADS  Google Scholar 

  • Obridko, V.N., Shelting, B.D.: 1989, Solar Phys. 124, 73.

    Article  ADS  Google Scholar 

  • Obridko, V., Formichev, V., Kharshiladze, A.F., Zhitnik, I., Slemzin, V., Hathaway, D., Wu, S.T.: 2000, Astron. Astrophys. Trans. 18, 819.

    Article  ADS  Google Scholar 

  • Robbins, S., Henney, C.J., Harvey, J.W.: 2006, Solar Phys. 233, 265.

    Article  ADS  Google Scholar 

  • Scherrer, P.H., Bogart, R.S., Bush, R.I., Hoeksema, J.T., Kosovichev, A.G., Schou, J., et al.: 1995, Solar Phys. 162, 129.

    Article  ADS  Google Scholar 

  • Schrijver, C.J.: 1987, Astron. Astrophys. 180, 241.

    ADS  Google Scholar 

  • Schrijver, C.J.: 2001, Astrophys. J. 547, 475.

    Article  ADS  Google Scholar 

  • Schrijver, C.J., DeRosa, M.L.: 2003, Solar Phys. 212, 165.

    Article  ADS  Google Scholar 

  • Schrijver, C.J., Title, A.M.: 2001, Astrophys. J. 551, 1099.

    Article  ADS  Google Scholar 

  • Schrijver, C.J., DeRosa, M.L., Title, A.M.: 2002, Astrophys. J. 577, 1006.

    Article  ADS  Google Scholar 

  • Schrijver, C.J., Zwaan, C., Balke, A.C., Tarbell, T.D., Lawrence, J.K.: 1992, Astron. Astrophys. 253, L1.

    ADS  Google Scholar 

  • Schroeder, M.: 1991, Fractals, Chaos, Power Laws, W.H. Freeman, New York, 429.

    MATH  Google Scholar 

  • Schwadron, N.A., McComas, D.J.: 2008, AGU, Fall Meeting, SH13B-1559.

  • Sheeley, N.R. Jr., Harvey, J.W., Feldman, W.C.: 1976, Solar Phys. 49, 271.

    Article  ADS  Google Scholar 

  • Shimojo, M.: 2008, AGU, Fall Meeting, SH22A-0836.

  • Suematsu, Y.: 2008, AGU, Fall Meeting, SH41B-1623.

  • Tarbell, T.D., Title, A.M., Schoolman, S.A.: 1979, Astrophys. J. 229, 387.

    Article  ADS  Google Scholar 

  • Tarbell, T., Ferguson, S., Frank, Z., Shine, R., Title, A., Topka, K., Scharmer, G.: 1990, In: Stenflo, J.O. (ed.) Solar Photosphere: Structure, Convection, and Magnetic fields, IAU Symp. 138, 147.

  • Tsuneta, S., Ichimoto, K., Katsukawa, Y., Nagata, S., Otsubo, M., Shimizu, T., et al.: 2008, Solar Phys. 249, 167.

    Article  ADS  Google Scholar 

  • Vrs̆nak, B., Temmer, M., Veronig, A.M.: 2007, Solar Phys. 240, 315.

    Article  ADS  Google Scholar 

  • Wang, Y.M., Sheeley, N.R.: 1990, Astrophys. J. 355, 726.

    Article  ADS  Google Scholar 

  • Wang, Y.M., Sheeley, N.R.: 1991, Astrophys. J. 375, 761.

    Article  ADS  Google Scholar 

  • Wang, Y.M., Lean, J., Sheeley, N.R.: 2000, Geophys. Res. Lett. 27, 505.

    Article  ADS  Google Scholar 

  • Wiegelmann, T., Solanki, S.K.: 2004, Solar Phys. 225, 227.

    Article  ADS  Google Scholar 

  • Wiegelmann, T., Xia, L.D., Marsch, E.: 2005, Astron. Astrophys. 432, L1.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Valentyna Abramenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abramenko, V., Yurchyshyn, V. & Watanabe, H. Parameters of the Magnetic Flux inside Coronal Holes. Sol Phys 260, 43–57 (2009). https://doi.org/10.1007/s11207-009-9433-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11207-009-9433-7

Keywords

Navigation