  We discuss statics and dynamics of condensation in a zero-range process with
compartments of limited sizes. For the symmetric dynamics the stationary state
has a factorized form. For the asymmetric dynamics the steady state factorizes
only for special hopping rules which allow for overjumps of fully occupied
compartments. In the limit of large system size the grand canonical analysis is
exact also in a condensed phase, and for a broader class of hopping rates as
compared to the previously studied systems with infinite compartments. The
dynamics of condensation exhibits a dynamical self-blocking which significantly
prolongs relaxation times. These general features are illustrated with a
concrete example: an inhomogeneous system with hopping rates that result in
Bose-Einstein-like condensations.
