Mathematics
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995soph..157...45k&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 157, no. 1-2, p. 45-50
Mathematics
9
Magnetic Signatures, Solar Physics, Sun, Wavelet Analysis, Entropy, Fractals, Scaling Laws, Transformations (Mathematics), Turbulence Models
Scientific paper
A quiet-Sun magnetogram is analyzed with an orthogonal wavelet transform, which allows an entropy measure to be defined. The entropy measure of the magnetogram as a function of spatial scale obeys a scaling law, which leads to a fractal dimension of Df = 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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