A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains
Materials Science
2017-09-13 v2
Abstract
In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains represent a cross-section of a three-dimensional system consisting of a graphene sheet suspended over a substrate. The continuum model recovers both qualitatively and quantitatively the behavior observed in the corresponding discrete model. The numerical solutions for both models demonstrate the presence of large commensurate regions separated by localized incommensurate domain walls.
Keywords
Cite
@article{arxiv.1705.00072,
title = {A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains},
author = {Malena Español and Dmitry Golovaty and J. Patrick Wilber},
journal= {arXiv preprint arXiv:1705.00072},
year = {2017}
}