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arXiv · 1305.5282

Fractal multi-scale nature of solar/stellar magnetic field

Valentina I. Abramenko
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Abstract

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 review, I will briefly outline how the ideas of multi-fractality are used to explore the above mentioned aspects of solar magnetism.

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Valentina I. Abramenko. 2013-05-22. Fractal multi-scale nature of solar/stellar magnetic field. https://doi.org/10.1017/s1743921313002652

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