Abstract
The low-frequency asymptotic behavior of the spectral energy distribution density of equilibrium radiation in a collisionless degenerate electron gas is studied. It is shown that the spatial dispersion in the electron gas permittivity leads to a logarithmic singularity in the spectral density distribution at low frequencies, similar to that we previously obtained for a Maxwellian plasma. In this case, the contribution of low frequencies to the total radiation energy remains finite. The results of the analytical consideration coincide with the numerical calculation.
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