Scaling properties of the solar wind driver and the Akasofu's ɛ parameter at solar maximum.

Mathematics – Probability

Scientific paper

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0520 Data Analysis: Algorithms And Implementation, 0545 Modeling (4255), 2159 Plasma Waves And Turbulence, 2162 Solar Cycle Variations (7536), 2784 Solar Wind/Magnetosphere Interactions

Scientific paper

Earth magnetosphere is constantly driven by turbulent and intermittent solar wind. Observations suggest that the multi-scale nature of this coupling is a fundamental aspect of magnetospheric dynamics. We examine the statistical properties of fluctuations in Akasofu's ɛ, which represents the energy input from the solar wind into the magnetosphere, and the magnetic field energy density of the solar wind at solar maximum. Previous studies suggested that, at solar maximum, these fluctuations are approximately self-similar and their probability distributions have similar functional form. We examine scaling properties of these quantities in detail, obtain values of their scaling exponents and examine a fractional Lévy walk as a possible model for their statistics.

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