  Distributions of the largest fragment charge, Zmax, in multifragmentation
reactions around the Fermi energy can be decomposed into a sum of a Gaussian
and a Gumbel distribution, whereas at much higher or lower energies one or the
other distribution is asymptotically dominant. We demonstrate the same generic
behavior for the largest cluster size in critical aggregation models for small
systems, in or out of equilibrium, around the critical point. By analogy with
the time-dependent irreversible aggregation model, we infer that Zmax
distributions are characteristic of the multifragmentation time-scale, which is
largely determined by the onset of radial expansion in this energy range.
