Spectral Boltzmann distribution: an ``infrared catastrophe''

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Stellar Atmospheres, Radiative Transfer, Opacity And Line Formation, Line And Band Widths, Shapes, And Shifts

Scientific paper

The review of recent achievements in the problem of resonance radiation transfer in dense highly absorptive media is presented. It is shown, in particular, that a spectral distribution of a resonance level population is proportional to exp(-ℏω/T), where ℏ is Planck constant, ω-current frequency, T-temperature. The availability of this factor can result in occurrence of the second maximum on a far-red wing of a resonant line. According to the theoretical prediction in a luminescence spectrum for sodium resonance line a maximum in the region of 2-3 micrometers must be observed. Intensity of a radiation in this maximum by some orders of magnitude exceeds the value, obtained from a standard theory of radiation transfer. This phenomenon can be conditionally named as ``infrared catastrophe.'' The experimental measurement of the spectra and radiation intensity in IR and visible regions are in the agreement with the advanced theory.

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