Hierarchical structures of amorphous solids characterized by persistent homology

This article proposes a topological method that extracts hierarchical structures of various amorphous solids. The method is based on the persistence diagram (PD), a mathematical tool for capturing shapes of multiscale data. The input to the PDs is given by an atomic configuration and the output is e...

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Bibliographic Details

Published in:	Proceedings of the National Academy of Sciences - PNAS Vol. 113; no. 26; p. 7035
Main Authors:	Hiraoka, Yasuaki, Nakamura, Takenobu, Hirata, Akihiko, Escolar, Emerson G, Matsue, Kaname, Nishiura, Yasumasa
Format:	Journal Article
Language:	English
Published:	United States 28.06.2016
Subjects:	persistence diagram amorphous solid hierarchical structure persistent homology topological data analysis
ISSN:	1091-6490, 1091-6490
Online Access:	Get more information
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