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 interni:||PALOMBARO, MARIAPIA|
|Data di pubblicazione:||2015|
|Rivista:||COMMUNICATIONS IN MATHEMATICAL SCIENCES|
|Appare nelle tipologie:||1.1 Articolo in rivista|