This article is cited in 6 papers

Quasi-steady-state particle distributions for an equation of the Landau–Fokker–Planck type with sources

V. I. Karas'^a, I. F. Potapenko<sup>b

a</sup> Kharkov Institute for Physics and Technology, National Academy of Sciences of Ukraine, ul. Akademicheskaya 2, Kharkov, 61108, Ukraine
^b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

Abstract: The formation of nonequilibrium particle distributions for the power-law interaction potentials $U=\alpha/r^\beta$, where $1\le\beta<4$, is considered. The analytical and numerical studies are based on a one-dimensional (in the velocity space) kinetic equation of the Landau–Fokker–Planck type with energy (particle) sources (sinks) localized in the high-energy range. Fully conservative finite-difference schemes are used for numerical modeling. The resulting asymptotic estimates are confirmed by numerical computations. The results can be used to predict the behavior of intrinsic and extrinsic semiconductors influenced by particle fluxes or electromagnetic radiation.

Key words: Landau–Fokker–Planck equation, nonequilibrium distribution function, plasma oscillations.

UDC: 519.676

Received: 03.11.2004

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:2, 294–304

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