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Ann. Geophys., 22, 2431-2440, 2004
www.ann-geophys.net/22/2431/2004/
© European Geosciences Union 2004
Multifractal structure of turbulence in the magnetospheric cusp
E. Yordanova1,2, M. Grzesiak1, A. W. Wernik1, B. Popielawska1, and K. Stasiewicz3
1Space Research Center, Polish Academy of Sciences, Poland
2Space Research Institute, Bulgarian Academy of Science, Bulgaria
3Swedish Institute of Space Physics, Uppsala, Swedennce, Bulgaria
Abstract. Magnetospheric cusps are regions which are characterized by highly
turbulent plasma. We have used Polar magnetic field data to study the
structure of turbulence in the cusp region. The wavelet transform modulus
maxima method (WTMM) has been applied to estimate the scaling exponent of
the partition function and singularity spectra. Their features are similar
to those found in the nonlinear multifractal systems. We have found that the
scaling exponent does not allow one to conclude which intermittency model fits
the experiment better. However, the singularity spectra reveal that
different models can be ascribed to turbulence observed under various IMF
conditions. For northward IMF conditions the turbulence is consistent with
the multifractal p-model of fully developed fluid turbulence. For southward
IMF experimental data agree with the model of non-fully developed
Kolmogorov-like fluid turbulence.
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