H. Garcke, B. Niethammer, M. Rumpf, and U. Weikard.
Transient coarsening behaviour in the Cahn-Hilliard model.
Acta Materialia, 51(10):2823-2830, 2003.
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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.