Tóth et al. (Physical Review B 92 (2015) 184105) reviewed competing multiphase-field models for thermodynamic consistency and kinetic stability of planar interfaces at equilibrium. This repository contains multiphase-field models intended for evolution of multiphase systems with pairwise-asymmetric interfacial properties. The example codes demonstrate equilibration of the planar binary interface produced upon collapse of a ternary system with one phase encapsulated within a circular domain (grain). The models are based on the excellent write-up in Ref. 1, with specific details in further references. Numerical simulations for three of the most popular/significant/relevant models are implemented in the subdirectories using MMSP.

Contour plots of bulk free energy potentials, generated by simplex.py.

1. Tóth, Pusztai, Gránásy. "Consistent multiphase-field theory for interface driven multidomain dynamics." Physical Review B 92 (2015) 184105.
2. Steinbach and Pezzolla. "A generalized field method for multiphase transformations using interface fields." Physica D 134:4 (1999) 385-393.
3. Moelans, Blanpain, Wollants. "Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems." Physical Review B 78 (2008) 024113.