Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010vaoa.conf..302p&link_type=abstract
"Evolution of Cosmic Objects through their Physical Activity, Proceedings of the Conference dedicated to Viktor Ambartsumian's 1
Astronomy and Astrophysics
Astrophysics
Scientific paper
The advantages of using Ambartsumian's Concept of Invariance and the new opportunities gained through its use are considered in comparison with classical Boltzmann's Kinetic Equations approach. It is shown that all major simplifications attained in resolution of linear radiative transfer problems can be efficiently extended on respective non-linear problems. In particular, new expressions of partial and full invariance are found for one-dimensional non-linear problems of reflection/transmission along with determination of the internal radiation field in a layer with finite thickness when its both boundaries are irradiated by intensive beams of radiation. A new important for the general theory feature of equivalence is found between the two differential operators (Boltzmann's and Ambartsumian's) in spite of their entirely different physical nature. The results have also been extended onto the important for astrophysical purposes case of polychromatic scattering.
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