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Magnetic Null Points due to Multiple Sources of Solar Photospheric Flux

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Abstract

How common are magnetic null points in the highly complex magnetic field of the solar atmosphere? In this work we seek to model the magnetic structure of quiet regions by placing magnetic sources and sinks on a hexagonal network of supergranule cells to represent the intense magnetic fields that occur at the boundaries of these cells. The resulting potential coronal magnetic field is then computed analytically and searched numerically for magnetic null points, which are classified according to their types and spine directions. Two relations from the theory of vector fields relate the numbers of null points to the numbers of sources and sinks and these are used to check the numerical results. Previous results relating these quantities for monopolar and dipolar magnetic fields are described and a new one for a particular class of quadrupolar fields arising in this study is derived. We model a three-cell configuration and study the effects of increasing the strength of a central sink and of moving the central sink. A twelve-cell configuration is studied in lesser detail.

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References

  • Brown, D. S. and Priest, E. R.: 1999, Proc. Roy. Soc. London, in press.

  • Cowley, S. W. H.: 1973, Radio Sci. 8, 903.

    Google Scholar 

  • Démoulin, P., Hénoux, J. C., and Mandrini, C. H.: 1992, Solar Phys. 139, 105.

    Google Scholar 

  • Démoulin, P., Hénoux, J. C., and Mandrini, C. H.: 1994, Astron. Astrophys. 285, 1023.

    Google Scholar 

  • Démoulin, P., Mandrini, C. H., Rovira, M. G., Hénoux J. C., and Machado, M. E.: 1994, Solar Phys. 150, 221.

    Google Scholar 

  • Démoulin, P., van Driel-Gesztelyi, L., Schmieder, B., Hénoux, J. C., Csepura, G., and Hagyard,M. J.: 1993, Astron. Astrophys. 271, 292.

    Google Scholar 

  • Dubrovin, B. A., Fomenko, A. T., and Novikov, S. P.: 1990, Modern Geometry-Methods andApplications. Part II. The Geometry and Topology of Manifolds, Springer-Verlag, New York.

    Google Scholar 

  • Gorbachev, V. S.: 1988, 'The Field Topology and Frozen-In Magnetohydrodynamic Flows of Plasma in the Strong Field Approximation'. PhD thesis, Moscow Institute of Physics and Engineering.

  • Gorbachev, V. S. and Somov, B. V.: 1989, Soviet Astron. 33, 57.

    Google Scholar 

  • Gorbachev, V. S., Kel'ner, S. R., Somov, B. V., and Shvarts, A. S.: 1988, Soviet Astron. 32, 308.

    Google Scholar 

  • Greene, J. M.: 1988, J. Geophys. Res. 93, 8583.

    Google Scholar 

  • Hornig, G. and Rastätter, L.: 1998, Physica Scripta T74, 34.

    Google Scholar 

  • Inverarity, G. W. and Titov, V. S.: 1997, J. Geophys. Res. 102, 22285.

    Google Scholar 

  • Lau, Y.-T. and Finn, J. M.: 1990, Astrophys. J. 350, 672.

    Google Scholar 

  • Longcope, D. W.: 1996, Solar Phys. 169, 91.

    Google Scholar 

  • Longcope, D. W.: 1998, Astrophys. J. 507, 433.

    Google Scholar 

  • Mackay, D. H. and Priest, E. R.: 1996, Solar Phys. 167, 281.

    Google Scholar 

  • Mandrini, C. H., Démoulin, P., Rovira, M. G., de La Beaujardière, J.-F., and Hénoux, J. C.: 1995, Astron. Astrophys. 303, 927.

    Google Scholar 

  • Molodenskii, M. M. and Syrovatskii, S. I.: 1977, Soviet Astron. 21, 734.

    Google Scholar 

  • Parnell, C. E., Smith, J. M., Neukirch, T., and Priest, E. R.: 1996, Phys. Plasmas 3, 759.

    Google Scholar 

  • Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P.: 1992, Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd edition, Cambridge University Press, Cambridge.

    Google Scholar 

  • Priest, E. R. and Démoulin, P.: 1995, J. Geophys. Res. 100, 23443.

    Article  Google Scholar 

  • Priest, E. R. and Forbes, T. G.: 1989, Solar Phys. 119, 211.

    Google Scholar 

  • Priest, E. R. and Titov, V. S.: 1996, Phil. Trans. Roy. Soc. London A354, 2951.

    Google Scholar 

  • Priest, E. R., Bungey, T. N., and Titov, V. S.: 1997, Geophys. Astrophys. Fluid Dyn. 84, 127.

    Google Scholar 

  • Schindler, K., Hesse, M., and Birn, J.: 1988, J. Geophys. Res. 93, 5547.

    Google Scholar 

  • Schrijver, C. J., Title, A. M., Harvey, K. L., Sheeley, Jr., N. R., Wang, Y.-M., van den Oord, G. H. J., Shine, R. A., Tarbell, T. D., and Hurlburt, N. E.: 1998, Nature 394, 152.

    Google Scholar 

  • Seehafer, N.: 1986, Solar Phys. 105, 223.

    Google Scholar 

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Inverarity, G., Priest, E. Magnetic Null Points due to Multiple Sources of Solar Photospheric Flux. Solar Physics 186, 99–121 (1999). https://doi.org/10.1023/A:1005129931992

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