Elastic Effect on Domain Morphology and Kinetics of Spinodal Decomposition in the Tetragonal System

A method was proposed for calculation of the effect of elastic strain on spinodal decomposition in the tetragonal system. An effective free energy for the composition field was derived by eliminating elastic fields which are coherently induced by composition inhomogeneities It was shown that anisotropic long-range interactions between composition fields play a major role in determining both the domainmorphology and domain growth law of spinodal decomposition with the coherence of the lattice. Computers simulations were performed on the basis of a two-dimensional model by taking into account those long-range interactions. The results demonstrated the appearance of lamella structure and its coarsening in the late stage of the phase separation The calculation for the TiO₂-SnO₂ system showed slow coarsening due to the anisotropic elastic long -range interactions The asymptotic growth of the lamella size was described by λα tⁿ, where n is 0.18.