Probabilistic approach to radiative transfer in supersonic flows

Mathematics – Probability

Scientific paper

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Astronomical Models, Light Emission, Probability Theory, Radiative Heat Transfer, Stimulated Emission, Supersonic Flow, Thermodynamics, Absorptivity, Electromagnetic Absorption, Escape Velocity, Gas Flow, Incident Radiation, Luminous Intensity

Scientific paper

The relationship between integrated mean intensity and escape probability in the escape-probability approach to radiative transfer in supersonic flows is interpreted in terms of atomic rates and conditional probabilities. The escape process and two terms in the cited analytical relationship are clarified. This relationship is generalized to cases where the incident light intensity is a function of angle. Absolute radiative rates are determined, taking into account stimulated emission. It is noted that a thermodynamic derivation of the escape-probability term would represent an attempt to model a small portion of a physically stationary but nonstatic expanding gas cloud as a single thermodynamic unit.

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