Thermodynamic proof of Rosseland's theorem

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Brightness Temperature, Fluorescence, Nebulae, Nonequilibrium Radiation, Radiation Distribution, Thermodynamic Equilibrium, Atomic Spectra, Jeans Theory, Plancks Constant, Visible Spectrum

Scientific paper

Rosseland's theorem for all regions of the spectrum is proved using the brightness temperature to describe a nonequilibrium radiation field. The thermodynamic condition for the predominance of direct or reverse cycles is analyzed, showing that the proof of Rosseland's theorem requires only that tne dilute Planck radiation has a certain property. The Rayleigh-Jeans and Wien parts of the spectrum are considered as limiting cases. The method of proof reveals the simple thermodynamic significance of Rosseland's theorem.

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