Kinetic Model of Stage Transformation and Intercalation in Graphite

We derive a set of diffusion equations based on time-dependent Landau-Ginzburg theory, which is capable of describing the role of domains in stage transformations and intercalation in layered materials. As illustrations of the formalism we study stage decomposition in a quenched sample and the intercalation of a dilute sample. Staggered domains of intermediate stages are shown to arise naturally as a consequence of the interactions and the kinetic constraints even for a sample without dislocations. Further, we show that intercalation proceeds through the formation and migration of islands of intermediate stages.