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• W2808753261 abstract "In this paper, we consider the capillarity-driven evolution of a solid toroidal island on a flat rigid substrate, where mass transport is controlled by surface diffusion. This problem is representative of the geometrical complexity associated with the solid-state dewetting of thin films on substrates. We apply Onsager's variational principle to develop a general approach for describing surface diffusion-controlled problems. Based on this approach, we derive a simple, reduced-order model and obtain an analytical expression for the rate of island shrinking and validate this prediction by numerical simulations based on a full, sharp-interface model. We find that the rate of island shrinking is proportional to the material constants $B$ and the surface energy density $gamma_0$, and is inversely proportional to the island volume $V_0$. This approach represents a general tool for modeling interface diffusion-controlled morphology evolution." @default.
• W2808753261 created "2018-06-29" @default.
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• W2808753261 date "2018-06-21" @default.
• W2808753261 modified "2023-09-26" @default.
• W2808753261 title "Application of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate" @default.
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• W2808753261 doi "https://doi.org/10.48550/arxiv.1806.08272" @default.
• W2808753261 hasPublicationYear "2018" @default.
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