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Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion

Numerical Analysis 2020-12-17 v2 Materials Science Numerical Analysis Computational Physics

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.

Keywords

Cite

@article{arxiv.2004.08712,
  title  = {Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion},
  author = {Marco Salvalaglio and Maximilian Selch and Axel Voigt and Steven M. Wise},
  journal= {arXiv preprint arXiv:2004.08712},
  year   = {2020}
}

Comments

15 pages; 6 figures

R2 v1 2026-06-23T14:56:29.921Z