Ostwald Ripening in Two Dimensions: Treatment with Pairwise Interactions

Ostwald Ripening in Two Dimensions : Treatment with PairwiseInteractions

1 Ostwald ripening is the last stage of the evolution of a system with two coexisting phases. It is a relatively simple non-equilibrium phenomenon with several interesting features. For example, as the system coarsens it goes through a scaling state, one wich looks the same (up to an overall length scale, which grows) at all times. The dynamics of the problem can be mapped, in two dimensions, o...

Ostwald ripening in Two Dimensions : Correlations and

We present a systematic quasi-mean eld model of the Ostwald ripening process in two dimensions. Our approach yields a set of dynamic equations for the temporal evolution of the minority phase droplets' radii. The equations contain only pairwise interactions between the droplets; these interactions are evaluated in a mean-eld type manner. We proceed to solve numerically the dynamic equations for...

Simulation of Ostwald Ripening in Two Dimensions: Spatial and Nearest Neighbor Correlations

Recent experimental results on late stage coarsening (Ostwald ripening) in two dimensions were reinvestigated by means of numerical simulation using the Cahn-Hilliard equation (model B). We determine the spatial particle-particle and charge-charge correlation functions according to the experimental results of Krichevsky and Stavans. We nd that our numerical results correspond well with these ex...

Ostwald ripening pdf

Homoepitaxial Ostwald ripening

This paper reports level set simulations of the Ostwald ripening of two-dimensional homoepitaxial islands. The simulation accurately accounts for both adatom diffusion between the islands and adatom attachment/detachment processes at the island edges. We compute the time evolution of the average island size and the full island size distribution function. The results provide support for a previo...