Fractal properties of sunspots

Details Fractal properties of sunspots Fractal properties of sunspots

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pazh...17.1013z&link_type=abstract

Pis'ma v Astronomicheskii Zhurnal (ISSN 0320-0108), vol. 17, Nov. 1991, p. 1013-1019. In Russian. In Russian.

Astronomy and Astrophysics

Astronomy

2

Fractals, Plasma Density, Solar Granulation, Solar Magnetic Field, Sunspots, Magnetohydrodynamic Stability, Photosphere

Scientific paper

A fractal model of sunspots is presented. The formation of fractal structures is considered as a result of the aggregation of magnetic flux tubes at the fractal cluster. Expressions are obtained for umbral and penumbral magnetic fields of a sunspot as well as an analytical expression for the fractal dimension corresponding to the minimum of the cluster's free energy. The relationship between a sunspot's fractal dimension and the distribution function for plasma particles is discussed. A distribution function corresponding to the observed value of the fractal dimension is calculated.

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