J. Phys. I France
Volume 5, Numéro 9, September 1995
Page(s) 1143 - 1159
DOI: 10.1051/jp1:1995188
J. Phys. I France 5 (1995) 1143-1159

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

Norbert Masbaum

Mathematisches Institut, Universität zu Köln, 50931 Köln, Germany

(Received 6 May 1995, received in final form 20 May 1995, accepted 2 June 1995)

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

© Les Editions de Physique 1995