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Fractal multi-scale nature of solar/stellar magnetic fields

Published online by Cambridge University Press:  18 July 2013

Valentina I. Abramenko
Valentina I. Abramenko*
Affiliation:
Big Bear Solar Observatory 40386 North Shore Lane, Big Bear City, California 92314, USA email: avi@bbso.njit.edu
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Abstract

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An abstract mathematical concept of fractal organization of certain complex objects received significant attention in astrophysics during last decades. The concept evolved into a broad field including multi-fractality and intermittency, percolation theory, self-organized criticality, theory of catastrophes, etc. Such a strong mathematical and physical approach provide new possibilities for exploring various aspects of astrophysics. In particular, in the solar and stellar magnetism, multi-fractal properties of magnetized plasma turned to be useful for understanding burst-like dynamics of energy release events, conditions for turbulent dynamo action, nature of turbulent magnetic diffusivity, and even the dual nature of solar dynamo. In this talk, I will briefly outline how the ideas of multi-fractality are used to explore the above mentioned aspects of solar magnetism.

Keywords

turbulenceSun: magnetic fieldsSun: granulationSun: photosphereinstrumentation: high angular resolutionmethods: data analysis

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