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Linear noise approximation method for calculating nonequilibrium fluctuations of the occupation numbers in radiative-collisional average ion models

  • Plasma Kinetics
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Abstract

A novel method is proposed for calculating nonequilibrium fluctuations of the mean occupation numbers of the electron shells in the radiative-collisional average-ion models of multicharged plasma kinetics. For the class of Slater ionic models, equations are derived for the mean occupation numbers of the electron shells and their fluctuations in the Fokker-Planck approximation. To calculate the fluctuations, the Fokker-Planck equation is linearized in the vicinity of the steady-state nonequilibrium solution to the kinetic equations (linear noise approximation). The method proposed allows one to take into account both the nonequilibrium correlations of the occupation-number fluctuations and the thermodynamically equilibrium statistical correlations related to the Coulomb interaction among bound electrons. The relation among the coefficients in the Fokker-Planck equation for the occupation-number fluctuations of the electron shells is discussed based on the fluctuation-dissipative theorem.

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Authors and Affiliations

  1. Russian Federal Nuclear Center, All-Russia Research Institute of Experimental Physics, Sarov, Nizhni Novgorod oblast, 607188, Russia

    P. D. Gasparyan & A. A. Gorshikhin

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  1. P. D. Gasparyan
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  2. A. A. Gorshikhin
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__________

Translated from Fizika Plazmy, Vol. 29, No. 5, 2003, pp. 458–475.

Original Russian Text Copyright © 2003 by Gasparyan, Gorshikhin..

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Gasparyan, P.D., Gorshikhin, A.A. Linear noise approximation method for calculating nonequilibrium fluctuations of the occupation numbers in radiative-collisional average ion models. Plasma Phys. Rep. 29, 425–442 (2003). https://doi.org/10.1134/1.1575312

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