The fractional-poisson model of spectral line collision broadening

Author(s):  V.V. Uchaikin, Dr., Ulyanovsk State University, Ulyanovsk, Russia,

О. P. Harlova, Ulyanovsk State University, Ulyanovsk, Russia

I.I. Kozhemjakin, Ulyanovsk State University, Ulyanovsk, Russia

Issue:  Volume 50, № 3

Rubric:  Physics

Annotation:  The transfer of the excitation energy of atoms of a partially ionized gas (plasma) is accomplished by photons whose free paths distribution averaged over the frequencies of the spectral line is characterized not by an exponential but by an asymptotically power law. Elastic collisions with other atoms change the profile of the spectral line, which entails a change in the distribution of the paths of the photons. Loudon's monograph shows that the exponentially distributed time intervals between collisions that correspond to the Poisson model of the time sequence of collisions do not qualitatively change the Lorentz form. In this paper we consider the fractional Poisson process (FPP), describe its main properties, and pecularity of the radiation transport of excitations of these atoms

Keywords:  resonant transfer, spectral profile, fractional Poisson process, Mittag-Leffler function, fractional derivatives, Monte Carlo method

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