Mathematics – Probability
Scientific paper
Dec 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003agufmsh42b0528j&link_type=abstract
American Geophysical Union, Fall Meeting 2003, abstract #SH42B-0528
Mathematics
Probability
2109 Discontinuities, 2139 Interplanetary Shocks, 2159 Plasma Waves And Turbulence, 2169 Sources Of The Solar Wind, 2731 Magnetosphere: Outer
Scientific paper
We examine an intermittent behavior observed in solar wind magnetic field and fat-tailed Probability Density Functions (PDFs) that are generated by shocks and discontinuities. In particular, the Kappa distribution function widely used for description of planetary magnetospheres, is shown to be particularly promising for modeling observed PDFs. We show that the reason for this lies in the asymmetric distribution of fluctuations in variance, i.e. that the variance is Gamma distributed on the logarithmic scale. This oposses to a Gaussian (symmetric) distribution of variances, which yields the Castaing distribution in a turbulent fluid flow. We examine how the Kappa PDFs are generated and discuss the roles of shocks and magnetic holes in that process.
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