Morphology of the interfacial patterns growing from unstable initial states in crystal growth models

Abstract

Using the Walsh-Fourier transform of the interface function the author introduces a new method for the analysis of the morphology of the complex interfacial patterns evolving with time on discrete lattices in a wide class of physical systems including crystal growth models. For the crystal growth models he also generalises an old technique for characterising the interfacial patterns on small length scales to patterns evolving from initial states far from equilibrium.