Rayleigh-Jeans spectrum of a finite blackbody disk
= Rayleigh-Jeans spectrum of a finite blackbody disk
{c}
{title2=$F_\nu\propto\nu^2$}
For a finite <multitemperature blackbody disk>, the low-<frequency> <Rayleigh-Jeans law> gives $F_\nu\propto\nu^2\int rT(r)\,dr$. If $T\propto r^{-3/4}$ away from the inner edge, outer annuli dominate because the weight per logarithmic radial interval grows as $r^{5/4}$. A measure-zero zero-temperature inner edge does not invalidate the leading law when $rT(r)$ is integrable.