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

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

MMC.
2023;
Volume 10, Number 2
: pp. 421–434
https://doi.org/10.23939/mmc2023.02.421
Received: January 03, 2023
Revised: April 12, 2023
Accepted: April 20, 2023

Mathematical Modeling and Computing, Vol. 10, No. 2, pp. 421–420 (2023)

Authors:
  1. Yu. V. Slyusarenko
  2. I. A. Ryzha
  3. A. I. Kirdin
1
Akhiezer Institute for Theoretical Physics, NSC Kharkiv Institute of Physics and Technology; Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Akhiezer Institute for Theoretical Physics, NSC Kharkiv Institute of Physics and Technology

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.

distribution function
correlation functions
long-wave fluctuations
kinetic theory of fluctuations
nonlinear dynamic equations
approximation of pair correlations
quasi-linear relaxation in plasma
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