Appendix A: Thin Interface Limit of a Binary Alloy Phase Field Model

Abstract

This appendix contains sections titled: * Phase Field Model * Curvilinear Coordinate Transformations * Length and Timescales * Matching Conditions between Outer and Inner Solutions * Outer Equations Satisfied by Phase Field Model * Inner Expansion of Phase Field Equations * Analysis of Inner Equations and Matching to Outer Fields * Summary of Results of Sections A.2–A.7 * Elimination of Thin Interface Correction Terms