"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.