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Ann. Geophys., 21, 681-692, 2003 www.ann-geophys.net/21/681/2003/ © European Geosciences Union 2003
Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data
J. Soucek1,2, T. Dudok de Wit2, V. Krasnoselskikh2, and A. Volokitin2,3 1Institute of Atmospheric Physics, Prague, Czech Republic 2LPCE CNRS, Orléans, France 3IZMIRAN, Troitsk, Russia
Abstract. We present a statistical
analysis of strong turbulence of Langmuir and ion-sound waves resulting from
beam-plasma interaction. The analysis is carried out on data sets produced by a
numerical simulation of one-dimensional Zakharov’s equations. The nonlinear
wave interactions are studied using two different approaches: high-order
spectra and Volterra models. These methods were applied to identify two and
three wave processes in the data, and the Volterra model was furthermore
employed to evaluate the direction and magnitude of energy transfer between the
wave modes in the case of Langmuir wave decay. We demonstrate that these
methods allow one to determine the relative importance of strongly and weakly
turbulent processes. The statistical validity of the results was thoroughly
tested using surrogated data set analysis.
Key words. Space plasma physics
(wave-wave interactions; experimental and mathematical techniques; nonlinear
phenomena)
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