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arXiv · 2004.08712

Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion

Marco Salvalaglio·Maximilian Selch·Axel Voigt·Steven M. Wise
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Abstract

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.

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Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise. 2020-12-16. Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. https://doi.org/10.1002/mma.7118

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