High-frequency spectral distribution of the equilibrium radiation energy in a plasma

We establish that the difference of the spectral distribution of the equilibrium radiation energy in matter from the Planck formula in the high-frequency range is determined by the imaginary part of the transverse dielectric permittivity of the matter. Based on this, we show that in a rarified high-temperature fully ionized nonrelativistic plasma, the high-frequency spectral distribution of the equilibrium radiation energy differs essentially from the Planck formula because of the power-law character of the decrease in the frequency, which is due to the presence of matter.