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- W2952766411 abstract "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." @default.
- W2952766411 created "2019-06-27" @default.
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- W2952766411 date "2013-08-15" @default.
- W2952766411 modified "2023-10-01" @default.
- W2952766411 title "A discrete to continuum analysis of dislocations in nanowire heterostructures" @default.
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