  In this paper, we show existence of white noise solutions for weak
formulations of modified Surface Quasi-Geostrophic (mSQG) equations. Based on
previous results (\cite{FS}) on white noise solutions for mSQG equations on the
torus $\mathbb{T}^{2}$, we show a similar result for the whole space
$\mathbb{R}^{2}$ by letting the volume of the torus go to infinity and applying
compactness methods (Skorokhod's theorem).
