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 experiments. We also investigate particle-particle correlations between nearest neighbors (deened by the Voronoi diagram of particles centroids) following the experiments of Seul, Morgan and Sire and compare our numerical results with their Maximum Entropy model of Ostwald ripening.