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Article: Application of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate

TitleApplication of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate
Authors
KeywordsSurface diffusion
Shrinking instability
Solid-state dewetting
Moving contact line
Onsager's variational principle
Issue Date2019
Citation
Acta Materialia, 2019, v. 163, p. 154-160 How to Cite?
AbstractIn 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 γ0, and is inversely proportional to the island volume V0. This approach represents a general tool for modeling interface diffusion-controlled morphology evolution.
DescriptionAccepted manuscript is available on the publisher website.
Persistent Identifierhttp://hdl.handle.net/10722/303582
ISSN
2023 Impact Factor: 8.3
2023 SCImago Journal Rankings: 2.916
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorJiang, Wei-
dc.contributor.authorZhao, Quan-
dc.contributor.authorQian, Tiezheng-
dc.contributor.authorSrolovitz, David J.-
dc.contributor.authorBao, Weizhu-
dc.date.accessioned2021-09-15T08:25:36Z-
dc.date.available2021-09-15T08:25:36Z-
dc.date.issued2019-
dc.identifier.citationActa Materialia, 2019, v. 163, p. 154-160-
dc.identifier.issn1359-6454-
dc.identifier.urihttp://hdl.handle.net/10722/303582-
dc.descriptionAccepted manuscript is available on the publisher website.-
dc.description.abstractIn 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 γ0, and is inversely proportional to the island volume V0. This approach represents a general tool for modeling interface diffusion-controlled morphology evolution.-
dc.languageeng-
dc.relation.ispartofActa Materialia-
dc.subjectSurface diffusion-
dc.subjectShrinking instability-
dc.subjectSolid-state dewetting-
dc.subjectMoving contact line-
dc.subjectOnsager's variational principle-
dc.titleApplication of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate-
dc.typeArticle-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.1016/j.actamat.2018.10.004-
dc.identifier.scopuseid_2-s2.0-85055023457-
dc.identifier.volume163-
dc.identifier.spage154-
dc.identifier.epage160-
dc.identifier.isiWOS:000451103800011-

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