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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  

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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
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A B Kukushkin, P A Sdvizhenskii. "Accuracy analysis of automodel solutions for Lévy flight-based transport: from resonance radiative transfer to a simple general model." Journal of Physics, Conference Series (2017) 012050