Nucleation and Spinodal Decomposition in Ternary-Component Alloys

The Cahn-Morral System has often been used to model the dynamics of phase separation in multi-component alloys on large domains. In this paper we examine phase separation on small one-dimensional domains time independently. In particular we use AUTO to create bifurcation diagrams of equilibrium solutions for two different nonlinearities and use Matlab to observe the structure of the material at various points on the diagrams. We compare the results to determine if using different nonlinearities significantly affects the behavior of the Cahn-Morral System.