Mathematics – Probability
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991soph..135..249l&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 135, Oct. 1991, p. 249-259.
Mathematics
Probability
26
Fractals, Magnetic Diffusion, Magnetic Flux, Solar Magnetic Field, Probability Density Functions, Random Walk, Two Dimensional Models
Scientific paper
Recent observations have indicated that magnetic-field elements are distributed on the sun in fractal patterns with dimension D of less than 2. The transport of magnetic-field elements across the solar surface should be treated as diffusion on a fractal geometry. A semianalytical, theoretical treatment of fractal diffusion is reviewed. Comparison with observations of small-scale motions of solar magnetic flux concentrations indicates that fractal diffusion may be taking place with dimension on the range 1.3 to 1.8. It is shown that, compared to the predictions that would be made for 2D diffusion, fractal diffusion in this range would lead to an increased level of in situ flux cancellation in decaying active regions by 7-35 percent. Other work in specialities outside of solar physics may be useful in explaining solar magnetic phenomena.
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