Accuracy analysis of automodel solutions for Lévy flight-based transport: from resonance radiative transfer to a simple general model

Journal of Physics: Conference Series

P A Sdvizhenskii¹  A B Kukushkin² 

[1] National Research Centre ‘Kurchatov Institute’, Moscow, 123182, Russian Federation;National Research Centre ‘Kurchatov Institute’, Moscow, 123182, Russian Federation . National Research Nuclear University MEPhI, Moscow, 115409, Russian Federation

DOI  :  10.1088/1742-6596/941/1/012050

学科分类：物理（综合）

来源: Institute of Physics Publishing Ltd.

【 摘 要 】

The results of accuracy analysis of automodel solutions for Lévy flight-based transport on a uniform background are presented. These approximate solutions have been obtained for Green's function of the following equations: the non-stationary Biberman-Holstein equation for three-dimensional (3D) radiative transfer in plasma and gases, for various (Doppler, Lorentz, Voigt and Holtsmark) spectral line shapes, and the 1D transport equation with a simple longtailed step-length probability distribution function with various power-law exponents. The results suggest the possibility of substantial extension of the developed method of automodel solution to other fields far beyond physics. Export citation and abstractBibTeX RIS

【 授权许可】

Unknown