Time Series Multifractal Analysis of Turbulent Magnetized Plasmas in the Solar System

The aim of this paper is to report on the new developments of time series analysis in turbulence using multifractals. To quantify scaling of turbulence we have proposed a generalized two-scale weighted Cantor set model with two different rescaling parameters. By using wealth of data provided by various space missions we have applied this model to intermittent multifractal turbulence in the solar wind magnetized plasma in the inner and the outer heliosphere at the ecliptic and at high heliospheric latitudes and even in the heliosheath, beyond the heliospheric termination shock. It appears that the degree of multifractality falls steadily with the distance from the Sun and is modulated by the solar activity. Here we extend our analysis further in the heliosheath ahead of the heliopause using recent Voyager 1 magnetic field data. We hope that our generalized multifractal model will be a useful tool for analysis of intermittent turbulence in the Solar System plasmas. We thus believe that multifractal time series analysis of various complex environments can shed light on the nature of turbulence.