A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915182863712256 |
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| author | Li, Meng Wang, Nan Zhao, Ruofan Zhou, Chunjie |
| author_facet | Li, Meng Wang, Nan Zhao, Ruofan Zhou, Chunjie |
| contents | We develop a sharp-interface model for solid-state dewetting of double-bubble thin films using an energy variational approach based on a newly proposed interfacial energy. This model characterizes the dynamic evolution of interfaces in double-bubble thin films, a process primarily governed by surface diffusion and junction/contact points migration, and fundamentally distinct from the behavior observed in a single thin film. Subsequently, a structure-preserving parametric finite element approximation is developed for the sharp-interface model, which can preserve both area conservation and energy stability. Extensive numerical experiments are presented to demonstrate the convergence, structure-preserving properties, and superior mesh quality of the proposed method. Additionally, we investigate several specific evolution processes, including the equilibrium shapes of double-bubble thin films and the pinch-off dynamics of long islands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00934 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure Li, Meng Wang, Nan Zhao, Ruofan Zhou, Chunjie Numerical Analysis We develop a sharp-interface model for solid-state dewetting of double-bubble thin films using an energy variational approach based on a newly proposed interfacial energy. This model characterizes the dynamic evolution of interfaces in double-bubble thin films, a process primarily governed by surface diffusion and junction/contact points migration, and fundamentally distinct from the behavior observed in a single thin film. Subsequently, a structure-preserving parametric finite element approximation is developed for the sharp-interface model, which can preserve both area conservation and energy stability. Extensive numerical experiments are presented to demonstrate the convergence, structure-preserving properties, and superior mesh quality of the proposed method. Additionally, we investigate several specific evolution processes, including the equilibrium shapes of double-bubble thin films and the pinch-off dynamics of long islands. |
| title | A sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.00934 |