  We study the problem of mass distribution of Laplacian eigenfunctions in
shrinking balls for the standard flat torus
$\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$. By averaging over the centre of the
ball we use Bourgain's de-randomisation to compare the mass-distribution of
toral eigenfunctions at Plank scale to the mass distribution of random waves in
growing balls around the origin. We are then able to classify all possible
limiting distributions and variances. Finally we give sufficient and necessary
conditions so that the mass of \textquotedblleft generic \textquotedblright
eigenfunction equidistributes at Plank scale in almost all balls.
