title: Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: application of a semi-implicit Fourier spectral method.
abstract: An efficient semi-implicit Fourier spectral method is implemented to solve the Cahn-Hilliard equation with a variable mobility. The method is orders of magnitude more efficient than the conventional forward Euler finite-difference method, thus allowing us to simulate large systems for longer times. We studied the coarsening kinetics of interconnected two-phase mixtures using a Cahn-Hilliard equation with its mobility depending on local compositions. In particular, we compared the kinetics of bulk-diffusion-dominated and interface-diffusion-dominated coarsening in two-phase systems. Results are compared with existing theories and previous computer simulations.
authors.affiliation: Department of Materials Science and Engineering, Penn State University, University Park, Pennsylvania 16802, USA.
authors.forename: J
authors.initials: J
authors.lastname: Zhu
authors.forename: L Q
authors.initials: LQ
authors.lastname: Chen
authors.forename: J
authors.initials: J
authors.lastname: Shen
authors.forename: V
authors.initials: V
authors.lastname: Tikare