Multifractality of Solar Magnetic Fields
Abstract
Eruptive phenomena in the solar atmosphere are thought to be caused by reconnection processes in complex magnetic structures. Therefore, the complexity of the magnetic field is closely related to the eruption activity. We propose to determine the measure of the magnetic complexity in terms of multifractality (intermittency) of a given magnetic structure. Our choice of a mathematical approach was stimulated by the fact that a multifractal, in time and in space domains, structure displays a burst-like (catastrophic) behavior which is consistent with catastrophe-like eruptions in the solar atmosphere. We propose a new multifractal method for quantitative estimation of the degree of complexity of solar magnetic fields. We discuss results of the application of the method to SOHO/MDI and ground-based measurements of solar magnetic fields.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2003
- Bibcode:
- 2003AGUFMSH22A0173A
- Keywords:
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- 7519 Flares;
- 7524 Magnetic fields;
- 7811 Discontinuities;
- 7839 Nonlinear phenomena;
- 7863 Turbulence