During deposition, the morphology of the initial layer will crucially influence further layer growth.
We introduce a suitable kinetic Monte Carlo model for island nucleation and growth on Ag/Ag(100) substrate, leading to the formation of non-equilibrium structures consisting of near square islands as observed on STM images. We simulate the homoepitaxial deposition of Ag adatoms on the Ag(100) substrate at a temperature of 200 K for values of the incident flux of particles ranging between 0.01 ML/s and 1.00 ML/s.
We characterize the nucleation process by studying the dependence of the mean island density (per unit site) during growth and the island size distribution on the incident flux of particles.
Interesting non trivial behavior of the time dependence of the mean island density arises from the interplay between island formation due to deposition of adatoms and difusion and coalescence of existing islands.
The island density also shows an interesting dependence on the flux of deposition leading to two different regimes, since for higher fluxes the system does not have time to agregate.

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