Doubly degenerate diffuse interface models of anisotropic surface diffusion

We extend the doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion, which yield more accurate approximations than classical degenerate Cahn-Hilliard (DCH) models, to the anisotropic case. We consider both weak and strong anisotropies and demonstrate the capabilities of the approach for these cases numerically. The proposed model provides a variational and energy dissipative approach for anisotropic surface diffusion, enabling large-scale simulations with material-specific parameters.

Automated summary

This study extends the classical degenerate Cahn-Hilliard model to anisotropic surface diffusion and demonstrates its capabilities for weak and strong anisotropic cases through numerical simulations. The proposed model provides a variational and energy dissipative approach for anisotropic surface diffusion problems with material-specific parameters, enabling large-scale simulations.