Study of Island Formation in Epitaxially Strained Films on Unbounded Domains
Gespeichert in:
Verfasser / Beitragende:
[P. Bella, M. Goldman, B. Zwicknagl]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/1(2015-10-01), 163-217
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0858-x |2 doi |
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| 245 | 0 | 0 | |a Study of Island Formation in Epitaxially Strained Films on Unbounded Domains |h [Elektronische Daten] |c [P. Bella, M. Goldman, B. Zwicknagl] |
| 520 | 3 | |a We consider a variational model related to the formation of islands in heteroepitaxial growth on unbounded domains. We first derive the scaling regimes of the minimal energy in terms of the volume of the film and the amplitude of the crystallographic misfit. For small volumes, non-existence of minimizers is then proven. This corresponds to the experimentally observed wetting effect. On the other hand, we show the existence of minimizers for large volumes. We finally study the asymptotic behavior of the optimal shapes. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Bella |D P. |u Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | |
| 700 | 1 | |a Goldman |D M. |u Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | |
| 700 | 1 | |a Zwicknagl |D B. |u Institute for Applied Mathematics, Bonn University, Bonn, Germany |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 163-217 |x 0003-9527 |q 218:1<163 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0858-x |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0858-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bella |D P. |u Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Goldman |D M. |u Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zwicknagl |D B. |u Institute for Applied Mathematics, Bonn University, Bonn, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 163-217 |x 0003-9527 |q 218:1<163 |1 2015 |2 218 |o 205 | ||