Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...253l...1s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 253, no. 1, Jan. 1992, p. L1-L4.
Astronomy and Astrophysics
Astrophysics
34
Faculae, Magnetic Flux, Percolation, Photosphere, Solar Magnetic Field, Fractals, Magnetic Field Configurations, Random Walk
Scientific paper
The magnetic field in solar plages forms a highly structured pattern with no apparent characteristic length scale. This pattern appears to be a fractal with a dimension between 1.45 and 1.60. Small-scale displacements of concentrations of magnetic flux in the network are consistent with a random walk on a fractal with a similar dimension. Percolation theory offers an effective explanation for observed geometric properties of small-scale flux concentrations in the solar photosphere, by demonstrating the close correspondence with clusters formed by randomly placed tracers on a 2D (irregular) lattice. Percolation theory also offers a model for the subdiffusive behavior of tracers performing a random walk on clusters formed by bonded sites. The geometry of flux concentrations and of the displacement of magnetic flux as a function of time are equivalent to situations in percolation theory below a critical value, called 'the percolation threshold'.
Balke A. C.
Lawrence John K.
Schrijver Carolus J.
Tarbell Ted D.
Zwaan Cornelis
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