Kappa distribution and Probability Density Functions in Solar Wind

Details Kappa distribution and Probability Density Functions in Solar Wind Kappa distribution and Probability Density Functions in Solar Wind

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsh31a1151j&link_type=abstract

American Geophysical Union, Fall Meeting 2004, abstract #SH31A-1151

Mathematics

Probability

2134 Interplanetary Magnetic Fields, 2139 Interplanetary Shocks, 2159 Plasma Waves And Turbulence, 2164 Solar Wind Plasma

Scientific paper

A signature of a statistical intermittency is the presence of large deviations from the average value: this increased probability of finding extreme deviations is characterized by Probability Density Functions (PDFs) which exhibit non Gaussian power-law tails. Such power-law distributions were observed over decades in biology, chemistry, finance and other fields. Known examples include heartbeat histograms, price distribution, turbulent fluid flow and many other non-equilibrium systems. It is shown that the Kappa distribution represents a good description of PDFs observed in Solar wind. The asymmetric fluctuations in variance over time observed in solar wind PDFs are Gamma distributed. It is shown that, by assuming such a distribution of variance, the Kappa distribution can be analitically derived.

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