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"A Self-Consistent Fractal Model for the Turbulent Current Sheet: The Methods of Fractal Topology and Fractional Kinetics"

A. V. Milovanov, L. M. Zelenyi (IKI)

Abstract:

The basic concepts of the fractal geometry and fractal topology are discussed. A self-consistent fractal model for the turbulent current sheet is proposed. This model is considered as a suitable approximation of the marginal magnetic field and plasma processes in the distant Earth's
magnetotail. A good deal of attention is paid to the methods of the strange (fractional) kinetics in the analytical theory of developed turbulence. The focus is on the fractional Fokker-Planck-Kolmogorov equation describing anomalous transport processes in the real space, and on the self-consistent fractional velocity-space transport equation which contains a rich class of strange acclerations in the turbulent media. Principal model predictions are compared with the available experimental data.