Analysis of rippling in incommensurate one-dimensional coupled chains
Numerical Analysis
2016-06-09 v1
Abstract
Graphene and other recently developed 2D materials exhibit exceptionally strong in-plane stiffness. Relaxation of few-layer structures, either free-standing or on slightly mismatched substrates occurs mostly through out-of-plane bending and the creation of large-scale ripples. In this work, we present a novel double chain model, where we allow relaxation to occur by bending of the incommensurate coupled system of chains. As we will see, this model can be seen as a new application of the well-known Frenkel-Kontorova model for a one-dimensional atomic chain lying in a periodic potential. We focus in particular on modeling and analyzing ripples occurring in ground state configurations, as well as their numerical simulation.
Cite
@article{arxiv.1606.02619,
title = {Analysis of rippling in incommensurate one-dimensional coupled chains},
author = {Paul Cazeaux and Mitchell Luskin and Ellad B. Tadmor},
journal= {arXiv preprint arXiv:1606.02619},
year = {2016}
}