Simulation and analysis of spinodal decomposition using the Allen-Cahn equation

Abstract

Spinodal decomposition is a type of phase separation that can occur for certain compositions of mixtures. If one of the phases is then resolved, the result is a labyrinthine structure that can advantageously be used to transport material, such as medicine through tablets. Simulations of spinodal decomposition based on the Allen-Cahn equation were run with a variety of parameters to gather time-based data. Methods were then developed to analyse characteristics from the data, both in 2D and 3D. The results were compared to those from previous physical experiments, with some accuracy. Finally, the effects of boundary conditions on spatial variations and phase patterns were studied.