Epitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model with quadratic pairwise atomic interaction energy. By employing the notion of Gamma-convergence and a geometric rigidity estimate, we perform a discrete to continuum limit and a dimension reduction to a one-dimensional system. Moreover, we compare a defect-free model and models with dislocations at the interface and show that the latter are energetically convenient if the thickness of the wire is sufficiently large.
Titolo: | A discrete to continuum analysis of dislocations in nanowire heterostructures |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Handle: | http://hdl.handle.net/11697/105806 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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LaPaSc2014-CMS-ip-journal.pdf | Articolo versione post-print | Documento in Post-print | ![]() | Open Access Visualizza/Apri |
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