A simple, general criterion for onset of disclination disorder on curved surfaces
Soft Condensed Matter
2020-08-19 v1
Abstract
Determining the positions of lattice defects on elastic surfaces with Gaussian curvature is a non-trivial task of mechanical energy optimization, particularly for surfaces with boundaries. We introduce a simple way to predict the onset of disclination disorder from the shape of bounded surfaces. The criterion fixes the value of a weighted integral Gaussian curvature to a universal constant and proves accurate across a great variety of shapes, even when previously suggested criteria fail. It is an easy avenue to improved understanding of the limitations to crystalline order in many materials.
Keywords
Cite
@article{arxiv.2003.07826,
title = {A simple, general criterion for onset of disclination disorder on curved surfaces},
author = {Siddhansh Agarwal and Sascha Hilgenfeldt},
journal= {arXiv preprint arXiv:2003.07826},
year = {2020}
}