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Abstracts
We study the heteroepitaxial growth of thin layers by means of the modified phase-field model with the incorporated anisotropy. The influence of elastic and surface energies on the layer growth is considered. For numerical solution of the model, an explicit numerical scheme based on the finite element method is employed. The obtained computational results with various anisotropy settings demonstrate the anisotropic thin-layer pattern growth.
Discipline
- 81.30.Fb: Solidification
- 05.70.Ln: Nonequilibrium and irreversible thermodynamics(see also 82.40.Bj Oscillations, chaos, and bifurcations in physical chemistry and chemical physics)
- 81.40.Jj: Elasticity and anelasticity, stress-strain relations
- 81.10.Aj: Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation(see also 61.50.Nw Crystal stoichiometry)
Journal
Year
Volume
Issue
Pages
520-522
Physical description
Dates
published
2015-10
Contributors
author
- Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague, Czech Republi
author
- Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague, Czech Republi
author
- Department of Physics of Materials, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, Prague, Czech Republic
References
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- [5] K. Kassner, C. Misbah, J. Müller, J. Kappey, P. Kohlert, Phys. Rev. B 63, 036117 (2001), doi: 10.1103/PhysRevE.63.036117
- [6] G. Bellettini, M. Paolini, Hokkaido Math. J. 25, 537 (1996), doi: 10.14492/hokmj/1351516749
- [7] M. Beneš, Appl. Math. 48, 437 (2003), doi: 10.1023/B:APOM.0000024485.24886.b9
- [8] D.H. Hoang, M. Beneš, T. Oberhuber, Acta Polytechn. Hung. 10, 99 (2013)
- [9] F. Hecht, J. Numer. Math. 20, 251 (2012), doi: 10.1515/jnum-2012-0013
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv128n411kz