Abstract
I analyze a quiet-Sun magnetogram with an orthogonal wavelet transform, which allows me to define an entropy measure. The entropy measure of the magnetogram as a function of spatial scale obeys a scaling law, which leads to a fractal dimension ofD f = 1.7. Furthermore, the entropy scaling law is directly related to the intermittency of magnetic features, which increases for decreasing spatial scales, as expected for a turbulent signal. In this context, the scaling law parameter can be interpreted as a fractional reduction in volume from one step of the turbulent cascade to the next.
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References
Balke, A. C., Schrijver, C. J., Zwaan, C., and Tarbell, T. D.: 1993,Solar Phys. 143, 215.
Farge, M.: 1992,Ann. Rev. Fluid Mech. 24, 395.
Frisch, U., Sulem, P-L., and Nelkin, M.: 1978,J. Fluid Mech. 87, 719.
Howard, R. F., Harvey, J. W., and Forgach, S.: 1990,Solar Phys. 130, 295.
Komm, R. W., Howard, R. F., and Harvey, J. W.: 1995,Solar Phys., in press.
Lawrence, J. K. and Schrijver, C. J.: 1993,Astrophys. J. 411, 402.
McComb, W. D.: 1990,The Physics of Fluid Turbulence, Oxford University Press, Oxford.
Meyer, Y.: 1993,Wavelets, Algorithms, and Applications, Society for Industrial and Applied Math., Philadelphia, p. 83.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: 1992,Numerical Recipes, second edition, Cambridge University Press, Cambridge, p. 584.
Zwaan, C.: 1987,Ann. Rev. Astron. Astrophys. 25, 83.
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Operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation.
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Komm, R.W. Wavelet analysis of a magnetogram. Sol Phys 157, 45–50 (1995). https://doi.org/10.1007/BF00680608
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DOI: https://doi.org/10.1007/BF00680608