Mathematics – Probability
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agusmsh43a..04m&link_type=abstract
American Geophysical Union, Spring Meeting 2008, abstract #SH43A-04
Mathematics
Probability
2164 Solar Wind Plasma, 4415 Cascades, 4440 Fractals And Multifractals, 4490 Turbulence (3379, 4568, 7863)
Scientific paper
We look at scaling properties of intermittent turbulence in the solar wind. We analyze time series of velocities of the low and fast speed streams measured in situ by Helios spacecraft during solar minimum at distances of 0.3 and 1 AU from the Sun and Advanced Composition Explorer during solar minimum and maximum at 1 AU. To quantify asymmetric scaling of solar wind turbulence, we consider a generalized two-scale weighted Cantor set describing nonuniform intermittent distribution of the kinetic energy flux between cascading eddies of various sizes [1]. We investigate the resulting spectrum of generalized dimensions and the corresponding multifractal singularity spectrum depending on two scaling parameters and one probability measure parameter, demonstrating that intermittent pulses are stronger for the asymmetric multifractal scaling. In particular, the fast streams at 1 AU seem to be more multifractal than the slow streams because the generalized dimensions and multifractal singularity spectra vary more with the index. It is worth noting that for the model with two different scaling parameters a much better agreement with the solar wind data is obtained, especially for the negative index of the generalized dimensions. Therefore we argue that there is a need to use a two-scale cascade model. Hence we propose this new more general model as a useful tool for analysis of intermittent turbulence in space plasmas [1]. [1] Macek, W. M. and A. Szczepaniak (2008), Generalized two-scale weighted Cantor set model for solar wind turbulence, Geophys. Res. Lett., 35, L02108, doi: 10.1029/2007GL032263.
Macek Wieslaw M.
Szczepaniak Adam
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