Transient coarsening behaviour in the Cahn–Hilliard model

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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 t 1/3, respectively the energy density decreases as t −1/3. 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.