Nonlinear dynamics of kinetic fluctuations and quasi-linear relaxation in plasma

We propose an approximation of pair correlations for solving the equations of the kinetic theory of long-wave (or large-scale) fluctuations in gaseous media. The basic ones are the general nonlinear equations of the large-scale fluctuations theory at the kinetic stage of system evolution, derived fr...

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Published inMathematical Modeling and Computing Vol. 10; no. 2; pp. 421 - 434
Main Authors Slyusarenko, Yu. V., Ryzha, I. A., Kirdin, A. I.
Format Journal Article
LanguageEnglish
Published 2023
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ISSN2312-9794
2415-3788
DOI10.23939/mmc2023.02.421

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Summary:We propose an approximation of pair correlations for solving the equations of the kinetic theory of long-wave (or large-scale) fluctuations in gaseous media. The basic ones are the general nonlinear equations of the large-scale fluctuations theory at the kinetic stage of system evolution, derived from the first principles of statistical mechanics. We show that based on the equations of the long-wave fluctuations kinetics in the case of weak interaction between particles, in the approximation of pair fluctuations it is possible to reproduce the main results of the quasi-linear theory of plasma. Thus, the well-known quasi-linear theory of plasma is provided with a first-principle justification.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2023.02.421