Anomalous diffusion of magnetic elements across the solar surface

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Diffusion Coefficient, Magnetic Flux, Photosphere, Random Walk, Solar Atmosphere, Solar Magnetic Field, Dynamo Theory, Solar Activity, Surface Layers

Scientific paper

Results are presented of observations of the random walks of concentrations of magnetic flux on the solar surface, giving a natural, macroscopic realization of anomalous diffusion with fractal dimension D = 1.56 +/- 0.08 and exponent of anomalous diffusion theta = 0.25 +/- 0.40. The results indicate that the random walk of magnetic flux in the solar photosphere is non-Euclidian and not two-dimensional diffusion. The results are entirely consistent with results from percolation theory for diffusion on clusters at a density below the percolation threshold.

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