Statistics – Computation
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...248...82c&link_type=abstract
Astrophysical Journal, Part 1, vol. 248, Aug. 15, 1981, p. 82-86.
Statistics
Computation
18
Emission Spectra, Line Spectra, Photons, Quasars, Radiative Transfer, Cooling, Differential Equations, Optical Thickness, Self Consistent Fields
Scientific paper
In this paper we develop a computationally useful version of the probabilistic first-order differential radiative transfer equation of Frisch and Frisch. This approximate radiative transfer equation is especially appropriate for the evaluation of radiative transfer effects in multilevel atomic systems due to its extreme computational efficiency and reasonably accurate description of the physics of radiation transfer. In particular, it recognizes the distinction between the flux divergence coefficient, ρ, and the photon escape probability, Pe. We show that this distinction is crucial for calculations that attempt to construct self-consistent energy balance models since substitution of Pe for ρ in such models leads to large errors (of sign as well as magnitude) in the local cooling rate.
Canfield Richard C.
Puetter Richard C.
Ricchiazzi P. J.
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