Statistical Analysis of Langmuir Waves Associated with Type III Radio Bursts

Physics – Plasma Physics

Scientific paper

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[7534] Solar Physics, Astrophysics, And Astronomy / Radio Emissions, [7815] Space Plasma Physics / Electrostatic Structures, [7857] Space Plasma Physics / Stochastic Phenomena

Scientific paper

Interplanetary electron beams, produced by CMEs and flares, are unstable in the solar wind and generate Langmuir waves at the local plasma frequency (fp) or its harmonic (2fp). Radio observations of the waves in a range of 4 - 256 kHz from the WAVES experiment on-board the WIND spacecraft have been statistically analyzed. From the radio observations starting from November 1994 to the beginning of 2010 a subset of about 180 events, with Langmuir waves and type III bursts occurred at the same time, has been selected. In order to exclude events that do not originate directly from the Sun and events that do not coincide with energetic electrons events, we have used measurements of interplanetary magnetic field vector, three-dimensional distribution of supra-thermal electrons and ions and three-dimensional velocity, density and temperature of the solar wind ions -- all taken simultaneously by the four experiments on-board the WIND spacecraft. The measurements allow qualitative analysis of the events which led to the final subset of 36 events that has been selected for this study. In order to remove the background consisting of thermal noise, type III bursts and Galactic background, we have developed a heuristic algorithm based on numerical techniques with a few parameters only. After background has been removed, the remaining power spectral density has been modeled by Pearson system of probability distributions. The coefficients of the probability distributions have been calculated by using two methods: method of moments and maximum likelihood estimation method. We have shown that the probability distributions of the power spectral density of the Langmuir waves belong to the three main types of Pearson probability distributions: type I, type IV and type VI. In order to compare the goodness of the fits, a few statistical tests have been applied, showing for all of the considered events that the Pearson probability distributions fit the data better than the Gaussian ones.

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