Transient Coarsening Behaviour in the Cahn-hilliard Model

ABSTRACT. We study two–dimensional coarsening by simulations for the Cahn–Hilliard model. A scale invariance of the sharp interface limit of this model suggests that the characteristic length scale grows proportional to , respectively the energy density decreases as . We compare the coarsening dynamics for different choices of data for different volume fractions. We observe that, depending on the specific data, the coarsening process can over a large time window be much slower than expected by dimensional analysis.