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arXiv · 1608.08930

Regularity and Locality of Point Defects in Multilattices

Derek Olson·Christoph Ortner
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Abstract

We formulate a model for a point defect embedded in a homogeneous multilattice crystal with an empirical interatomic potential interaction. Under a natural, phonon stability assumption we quantify the decay of the long-range elastic fields with increasing distance from the defect. These decay estimates are an essential ingredient in quantifying approximation errors in coarse-grained models and in the construction of optimal numerical methods for approximating crystalline defects.

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Derek Olson, Christoph Ortner. 2016-08-31. Regularity and Locality of Point Defects in Multilattices. https://arxiv.org/abs/1608.08930

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