IMF Turbulence and Cumulative Distribution Functions

Physics

Scientific paper

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[2134] Interplanetary Physics / Interplanetary Magnetic Fields, [2149] Interplanetary Physics / Mhd Waves And Turbulence

Scientific paper

The power spectrum of the interplanetary magnetic field (IMF) shows Kolmogrov scaling characteristic of classical fluid turbulence, however the fluctuations in the IMF are only self-similar over a limited range of time scales and the probability distribution functions (PDFs) of the fluctuations have different functional forms at different time scales. The transition from classical turbulence where the IMF time series is self-similar and fractal to multifractal has been extensively studied using PDFs and structure functions. Here, we introduce a method based on the use of cumulative distribution functions (CDFs) to identify self-similar scaling in time series. We apply the CDF method to analyze fluctuations in magnetic energy density for a variety of conditions including distance from the sun, solar activity, and elevation with respect to the ecliptic plane. Generally, the transition from fractal to multifractal is a strong function of both solar activity and elevation.

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