Mathematics – Probability
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufmsh31a1662o&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #SH31A-1662
Mathematics
Probability
2159 Plasma Waves And Turbulence, 2164 Solar Wind Plasma
Scientific paper
We have applied statistical methods to a study of turbulence in the solar wind using data from the SWE experiment on NASA's WIND mission during solar minimum (1996 and 2006) and solar maximum (2001). We examined the probability distribution functions (PDFs) for solar wind velocity differences at lag times from 1 to 105 minutes. The statistical features of these PDFs reveal information regarding the cascade of momentum from large to small scale structures as well as intermittency within the solar wind. We have analyzed the velocity differences using three component velocity data, allowing us to determine turbulent anisotropies and examine the PDFs for velocity differences parallel and perpendicular to the local magnetic field. At small time differences, the PDFs of bulk velocity differences have the form of a double exponential function. For increasing time differences, there is a shift in the mean of the PDF to negative velocity difference with a noticeable asymmetry as seen previously by Burlaga et al. (J. Geophys. Res., 107, 1403, 2002). However, the shift and asymmetry are absent when examining velocities parallel to the magnetic field suggesting anisotropy in the turbulence is found in the component perpendicular to the magnetic field. The second statistical moment (variance) of the PDFs are found to have different behavior in time scales less and greater than about 103 minutes. These two regimes each follow a separate power law scaling with the time difference. The regimes appear to be related to the Kolmogorov 2/3 and 4/5 laws that define the power law scaling for inertial and Gaussian regimes. The third and fourth statistical moments (skew and kurtosis) also follow power laws. Comparison between solar minimum and solar maximum shows general similarity in the results. However, at solar maximum only a single regime exists for the kurtosis, while at solar minimum two regimes are present, similar to the regimes found for the variance.
Banerjee Anindita
Coplan Mike
Holland Marika M.
Kulkarni Varsha
Ogilvie Keith
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