Solar Wind Amplification and Distribution Invariance of Short Time--Scale Geomagnetic Variability in the Auroral Zone

Mathematics – Probability

Scientific paper

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3299 General Or Miscellaneous, 7819 Experimental And Mathematical Techniques, 7863 Turbulence

Scientific paper

Using a 22--year data set of one--minute magnetometer measurements at an auroral--zone location, a statistical model of short time--scale geomagnetic fluctuations is developed and used to evaluate how geomagnetic dynamics are influenced by different solar wind controlling parameters. The functional form of the probability distribution function (PDF) that describes extreme--value minute--to--minute (greater than 2σ ) changes in the ground magnetic field (Δ x) in the auroral zone is shown to be independent of solar wind (SW) forcing and nearly independent of the local time and day of year (DOY) variables. Instead of modifying the intrinsic dynamics, as characterized by the functional form of the PDF of Δ x, these variables are shown either to amplify or reduce the absolute level of variability of the fluctuations: the primary difference in the PDF of Δ x during weak and strong solar wind forcing is its standard deviation; the functional form of the PDF = f[Δ x/σ (DOY,LT,SW)] is nearly invariant. In a statistical interpretation, we conclude that differences in solar--generated conductivity, seasonal effects, strength of solar wind forcing and variability, and position of the magnetometer ground station in local time do not change the structure of the dynamics, as characterized by the probability distribution of Δ x, but rather serve to amplify the intrinsic dynamics.

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