Mathematics – Probability
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010georl..3712103c&link_type=abstract
Geophysical Research Letters, Volume 37, Issue 12, CiteID L12103
Mathematics
Probability
1
Nonlinear Geophysics: Probability Distributions, Heavy And Fat-Tailed (3265), Ionosphere: Ionosphere/Magnetosphere Interactions (2736), Ionosphere: Ionospheric Dynamics, Ionosphere: Plasma Convection (2760), Magnetospheric Physics: Field-Aligned Currents And Current Systems (2409)
Scientific paper
We present, for the first time, the probability density function (PDF) of ionospheric vorticity measurements made by the SuperDARN HF radars. We show that the PDF is typically heavy-tailed and best modelled by the q-exponential distribution across most of the ionosphere, except in the dayside region 1 current region where the Weibull distribution provides the best model. We identify these distributions as stationary solutions of a Fokker-Planck equation whose corresponding Langevin equation can be derived from the classic baroclinic and barotropic vorticity equations, respectively.
Chisham Gareth
Freeman Mervyn. P.
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