Anomalous Diffusion of Magnetic Elements across the Solar Surface
Abstract
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.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- July 1993
- DOI:
- 10.1086/172841
- Bibcode:
- 1993ApJ...411..402L
- Keywords:
-
- Diffusion Coefficient;
- Magnetic Flux;
- Photosphere;
- Random Walk;
- Solar Atmosphere;
- Solar Magnetic Field;
- Dynamo Theory;
- Solar Activity;
- Surface Layers;
- Solar Physics;
- DIFFUSION;
- SUN: MAGNETIC FIELDS