Stochastic modeling of the AE index and its relation to fluctuations in Bz of the IMF on time scales shorter than substorm duration

Details Stochastic modeling of the AE index and its relation to fluctuations in Bz of the IMF on time scales shorter than substorm duration Stochastic modeling of the AE index and its relation to fluctuations in Bz of the IMF on time scales shorter than substorm duration

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jgra..11511216r&link_type=abstract

Journal of Geophysical Research, Volume 115, Issue A11, CiteID A11216

Physics

Geophysics

3

Mathematical Geophysics: Stochastic Processes (3235, 4468, 4475, 7857), Mathematical Geophysics: Time Series Analysis (1872, 1988, 4277, 4475), Nonlinear Geophysics: Scaling: Spatial And Temporal (1872, 1988, 3265, 3270, 4277, 7857), Space Weather: Models, Nonlinear Geophysics: Fractals And Multifractals

Scientific paper

We perform a detailed analysis of the auroral electrojet (AE) index on the typical substorm time scales from one minute up to a few hours. Through a systematic test against a model for selfsimilar motion in the form of fractional Lévy flights, and against a model for fractional Brownian motion in multifractal time, it is demonstrated that the AE index is better approximated by a multifractal model than by a fractional Lévy flight. Standard structure function analysis of the z-component Bz of the interplanetary magnetic field indicates that it is neither selfsimilar nor multifractal, but approximately satisfies a version of extended selfsimilarity. A method to discern an underlying multifractality also in Bz is pointed out.

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