Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: Application of a semi-implicit Fourier spectral method

1999/10/01 by Jingzhi Zhu, Long-Qing Chen, Long‐Qing Chen +2 · 16 citations
Earth and Planetary Sciences · Materials Science · #Block Copolymer Self-Assembly #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions

paper · doi:10.1103/physreve.60.3564

openalex publication_date 1999/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/14

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.

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