title: Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion.
abstract: In the present article, we introduce a phase-field model for thin-film growth with anisotropic step energy, attachment kinetics, and diffusion, with second-order (thin-interface) corrections. We are mainly interested in the limit in which kinetic anisotropy dominates, and hence we study how the expected shape of a crystallite, which in the long-time limit is the kinetic Wulff shape, is modified by anisotropic diffusion. We present results that prove that anisotropic diffusion plays an important, counterintuitive role in the evolving crystal shape, and we add second-order corrections to the model that provide a significant increase in accuracy for small supersaturations. We also study the effect of different crystal symmetries and discuss the influence of the deposition rate.
authors: Department of Mathematics, University of California, Irvine, California 92697-3875, USA.
authors: Esteban
authors: E
authors: Meca
authors: Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6272, USA.
authors: Vivek B
authors: VB
authors: Shenoy
authors: Departments of Mathematics and Chemical Engineering & Materials Science, University of California, Irvine, California 92697-3875, USA.
authors: John
authors: J
authors: Lowengrub