Large scale simulations of the two-dimensional Cahn-Hilliard model

We review some recent numerical studies of the Cahn-Hilliard model in two dimensions, for phase separation with different values of the minority area fraction φ. We find that dynamical scaling is satisfied at sufficiently late times for the pair correlation function, the structure factor and the droplet distribution function. We study how the shape of these scaling functions change with the area fractions and compare these results with available theoretical predictions. The time dependence of the characteristics length is consistent with an asymptotic growth law exponent 1/3 for all area fractions