The morphological stability of two-dimensional islands nucleated on a squar
e-symmetry substrate during vacuum atom deposition is investigated by analy
tic scaling arguments and kinetic Monte Carlo simulations. It is shown that
nonequilibrium, dendritic-skeletal island shapes may he converted into com
pact, equilibrium ones by increasing the deposition rate, in contrast with
simple expectation. Our results imply that epitaxial islands generically sh
ould undergo a reentrant morphological transition with varying deposition r
ate. Stable, compact shares should in principle exist only at intermediate
Values of the deposition rate. [S0163-1829(99)04848-1].