Abstract
We investigate the effect of coarsening in the Clarke–Vvedensky model of thin film growth, primarily as a model of statistical physics far from equilibrium. We deposit adatoms on the substrate until a fixed coverage is reached. We then stop the deposition and measure the subsequent change in the distribution of the island sizes. We find that for large flux, coarsening in this model is consistent with the Lifshitz–Slyozov law ξ∼ t 1/3, where ξ is the characteristic linear dimension and t is the time in the coarsening process. We have also calculated the stationary states of the island size distributions at long times and find that these distribution functions are independent of initial conditions. They obey scaling with the universal scaling function agreeing with that obtained by Kandel using the Smolochowsky equation in a cluster coalescence model.
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