Study of Island Formation in Epitaxially Strained Films on Unbounded Domains

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)
ID: 605515816
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024 7 0 |a 10.1007/s00205-015-0858-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-015-0858-x 
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 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
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