Mutual Information as a Non-linear Measure of Correlation in Multi-point Measurements in the Solar Wind

Details Mutual Information as a Non-linear Measure of Correlation in Multi-point Measurements in the Solar Wind Mutual Information as a Non-linear Measure of Correlation in Multi-point Measurements in the Solar Wind

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agufmsh14b..07d&link_type=abstract

American Geophysical Union, Fall Meeting 2007, abstract #SH14B-07

Physics

2164 Solar Wind Plasma, 3235 Persistence, Memory, Correlations, Clustering (3265, 7857), 3270 Time Series Analysis (1872, 4277, 4475), 4475 Scaling: Spatial And Temporal (1872, 3270, 4277), 7839 Nonlinear Phenomena (4400, 6944)

Scientific paper

With increasing numbers of spacecraft in the solar wind new techniques for analyzing multi-spacecraft data are in demand. We discuss techniques for implementing mutual information and present results obtained for correlation of fluctuations in magnetic field, proton density and velocity between the WIND and ACE spacecraft at the minimum and maximum of the last solar cycle. The magnetic field, particle density and velocity measurements, as well as derived quantities such as Elsässer variables, are compared between ACE and WIND and correlation length scales are calculated. Linear cross correlation is also used as a comparison, indicating the degree to which non-linear and linear correlations differ, and the effect of the solar cycle is investigated. Mutual information shows a clear difference between the density and magnetic field measurements, which is harder to discern from the linear correlation. The effect of the solar driver is also clear in the mutual information measurements and the increase in scale length due to either solar coronal structure imposed on the solar wind, or non-universal turbulence is measured.

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