Regularity and Locality of Point Defects in Multilattices
Analysis of PDEs
2016-10-03 v1
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.
Cite
@article{arxiv.1608.08930,
title = {Regularity and Locality of Point Defects in Multilattices},
author = {Derek Olson and Christoph Ortner},
journal= {arXiv preprint arXiv:1608.08930},
year = {2016}
}