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

A B Kukushkin, P A Sdvizhenskii
2017 Journal of Physics, Conference Series  
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
more » ... n 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.
doi:10.1088/1742-6596/941/1/012050 fatcat:djrbrxf7f5bnte42bbwofcq3a4