A numerical scheme for the Mullins–Sekerka evolution in three space dimensions

摘要: Consider a binary material at a temperature such that two different concentration phases are stable. Away from equilibrium one may find several different regimes or stages of evolution. For instance, an initially nearly homogeneous state may separate into a two phase state through nucleation, where small islands of one phase appear at several random locations and times, or through spinodal decomposition, in which a fine-grained mixture is found throughout the sample. Following either of these routes of initial phase separation, one observes a coarsening process in which small particles dissolve or coalesce, while larger particles grow, all the time preserving the total amount of each species. The final or equilibrium state has a rather simple structure with very few, typically only two, regions of different concentration. Here, we are interested in the coarsening stage of the evolution, where some particles dissolve …