A simple, general criterion for onset of disclination disorder on curved surfaces

Autor: Agarwal, Siddhansh, Hilgenfeldt, Sascha
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. Lett. 125, 078003 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.125.078003
Popis: 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.
Databáze: arXiv