Autor: |
Agarwal, Siddhansh, Hilgenfeldt, Sascha |
Rok vydání: |
2020 |
Předmět: |
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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 |
Externí odkaz: |
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