  We investigate disruptive collisions of aggregates comprised of particles
with different interaction potentials. We study Lennard-Jones (L-J), Tersoff,
modified L-J potential and the one associated with Johnson-Kendall-Roberts
(JKR) model. These refer to short, middle and long-ranged inter-particle
potentials and describe both inter-atomic interactions and interactions of
macroscopic adhesive bodies. We perform comprehensive molecular dynamics
simulations and observe for all four potentials power-law dependencies for the
size distribution of collision fragments and for their size-velocity
correlation. We introduce a new fragmentation characteristic -- the shattering
degree $S$, quantifying the fraction of monomers in debris and reveal its
universal behavior. Namely, we demonstrate that for all potentials, $1-S$ is
described by a universal function of the impact velocity. Using the above
results, we perform the impact classification and construct the respective
collision phase diagram. Finally, we present a qualitative theory that explains
the observed scaling behavior.
