  We consider a class of zero-range processes exhibiting a condensation
transition in the stationary state, with a critical single-site distribution
decaying faster than a power law. We present the analytical study of the
coarsening dynamics of the system on the complete graph, both at criticality
and in the condensed phase. In contrast with the class of zero-range processes
with critical single-site distribution decaying as a power law, in the present
case the role of finite-time corrections are essential for the understanding of
the approach to scaling.
