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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Voigt, Axel
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (20/20 displayed)
- 2022Controlling magnetic anisotropy in amplitude expansion of phase field crystal model
- 2021Doubly degenerate diffuse interface models of anisotropic surface diffusioncitations
- 2021Doubly degenerate diffuse interface models of surface diffusioncitations
- 2020Hyperuniform monocrystalline structures by spinodal solid-state dewettingcitations
- 2020Self-assembly of nanovoids in Si microcrystals epitaxially grown on deeply patterned substratescitations
- 2020Hyperuniform Monocrystalline Structures by Spinodal Solid-State Dewettingcitations
- 2019CONVEXITY SPLITTING IN A PHASE FIELD MODEL FOR SURFACE DIFFUSION
- 2019Deterministic 3D self-assembly of Si through a rim-less and topology-preserving dewetting regime
- 2019Closing the gap between atomic-scale lattice deformations and continuum elasticitycitations
- 2019Deterministic three-dimensional self-assembly of Si through a rimless and topology-preserving dewetting regimecitations
- 2018Morphological evolution of Ge/Si nano-strips driven by Rayleigh-like instabilitycitations
- 2017Controlling the energy of defects and interfaces in the amplitude expansion of the phase-field crystal modelcitations
- 2017Complex dewetting scenarios of ultrathin silicon films for large-scale nanoarchitecturescitations
- 2017Phase-field simulations of faceted Ge/Si-crystal arrays, merging into a suspended filmcitations
- 2016Thin-film growth dynamics with shadowing effects by a phase-field approachcitations
- 2016Deformation analysis of polymer foams under compression load using in situ computed tomography and finite element simulation methods
- 2015Engineered coalescence by annealing 3D Ge microstructures into high-quality suspended layers on Sicitations
- 2015Faceting of equilibrium and metastable nanostructures: a Phase-Field model of surface diffusion tackling realistic shapescitations
- 2004Finite element method for epitaxial growth with attachment–detachment kineticscitations
- 2003Element method for epitaxial growth with attachment-detachment kinetics
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article
Faceting of equilibrium and metastable nanostructures: a Phase-Field model of surface diffusion tackling realistic shapes
Abstract
Several crystalline structures are metastable or kinetically frozen out-of-equilibrium states in the phase space: When the corresponding lifetime is sufficiently long, typical equilibrium features such as regular and extended faceting can be observed. However, interpreting the extension of the facets and the overall shape in terms of a standard Wulff analysis is not justified. Here, we introduce a convenient general formulation of the anisotropic surface energy density, combined with a suitable phase-field model of surface diffusion. This allows for the investigation of the evolution toward equilibrium of realistically shaped nanostructures, describing an actual kinetic path and including the proper faceting. Numerical solution by the finite element method allows for efficient simulations even for the so-called strong anisotropy condition. After illustrating applications yielding equilibrium crystal shapes (corresponding to the Wulff construction), we focus our attention on faceting of structures in long-lived metastable states. The generality and numerical robustness of the approach is proven by a few applications to crystalline systems of great importance (quantum dots, quantum wires, patterned substrates) in present materials science.