Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion

04/18/2020

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by   Marco Salvalaglio, et al.

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We extend the doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion [arXiv:1909.04458], 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.