  We consider a family of nonlocal capillarity models, where surface tension is
modeled by exploiting the family of fractional interaction kernels
$|z|^{-n-s}$, with $s\in(0,1)$ and $n$ the dimension of the ambient space. The
fractional Young's law (contact angle condition) predicted by these models
coincides, in the limit as $s\to 1^-$, with the classical Young's law
determined by the Gauss free energy. Here we refine this asymptotics by showing
that, for $s$ close to $1$, the fractional contact angle is always smaller than
its classical counterpart when the relative adhesion coefficient $\sigma$ is
negative, and larger if $\sigma$ is positive. In addition, we address the
asymptotics of the fractional Young's law in the limit case $s\to 0^+$ of
interaction kernels with heavy tails. Interestingly, near $s=0$, the dependence
of the contact angle from the relative adhesion coefficient becomes linear.
