Characteristics of the Turbulence Processes in the Magnetohydrodynamic Environment

Methods and approaches that can be used for analyzing the hydrodynamic and magnetohydrodynamic turbulent flows are proposed. It is shown that the best methods to characterize the types of turbulent processes are the methods of statistical physics. Within the statistical approach the fractal analysis (determination of the fractal length and height of the maximum of the probability density fluctuations of the studied parameters) and the multifractal analysis (study of a power dependence of high order statistical moments and construction multifractal spectrum) had been carried out. It is indicate that the statistical analysis of properties of turbulent processes can be supplemented by the spectral studies: Fourier and wavelet analysis. In order to test the methods and approaches we have used the magnetic field measurements from the space mission Cluster-II with a sampling frequency of 22.5 Hz in the Earth's magnetospheric tail. A good agreement between the investigations and the mutual additions to provide an overall view of the turbulence can be noted.