Mathematics – Probability
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsh34a..07s&link_type=abstract
American Geophysical Union, Fall Meeting 2004, abstract #SH34A-07
Mathematics
Probability
7839 Nonlinear Phenomena, 7868 Wave/Wave Interactions, 2154 Planetary Bow Shocks, 2159 Plasma Waves And Turbulence, 2784 Solar Wind/Magnetosphere Interactions
Scientific paper
The characteristics of Langmuir waves observed by the Cluster WBD Plasma Wave Receiver in Earth's foreshock region are presented with respect to nonlinear wave behavior. Our previous work on waves in the foreshock has shown that the electric field amplitude probability distributions for Langmuir waves observed by Cluster can follow a combination of the log-normal statistics predicted by stochastic growth theory and power law statistics. Power law deviations from log-normal statistics are often the result of spatial averaging, but can also be found for large amplitude waves near the edge of the foreshock, which may show evidence of nonlinearity. This raises questions about the possible effects of nonlinear processes on the amplitude statistics. We examine the significance of nonlinear processes in the foreshock by considering the various types of Langmuir wave power spectra observed in this region. Far away from the foreshock boundary, Langmuir waves have been observed to shift up and down in frequency from the local plasma frequency. Evidence for nonlinear processes such as parametric decay, has also been found in Earth's foreshock in the form of wave spectra with double peaks near the plasma frequency. For selected cases, we discuss the occurrence rates of these types of Langmuir wave spectra for different solar wind conditions and the possible influence of the associated physical processes on the amplitude probability distributions.
Balogh André
Gurnett Donald A.
Kletzing Craig A.
Lucek Elizabeth
Pickett Jolene S.
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