Linking structure and process in dendritic growth using persistent homology with energy analysis

We present a material analysis method that links structure and process in dendritic growth using explainable machine learning approaches. We employed persistent homology (PH) to quantitatively characterize the morphology of dendritic microstructures. By using interpretable machine learning with ener...

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Main Authors: Misato Tone, Shunsuke Sato, Sotaro Kunii, Ippei Obayashi, Yasuaki Hiraoka, Yui Ogawa, Hirokazu Fukidome, Alexandre Lira Foggiatto, Chiharu Mitsumata, Ryunosuke Nagaoka, Arpita Varadwaj, Iwao Matsuda, Masato Kotsugi
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Science and Technology of Advanced Materials: Methods
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Online Access:https://www.tandfonline.com/doi/10.1080/27660400.2025.2475735
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author Misato Tone
Shunsuke Sato
Sotaro Kunii
Ippei Obayashi
Yasuaki Hiraoka
Yui Ogawa
Hirokazu Fukidome
Alexandre Lira Foggiatto
Chiharu Mitsumata
Ryunosuke Nagaoka
Arpita Varadwaj
Iwao Matsuda
Masato Kotsugi
author_facet Misato Tone
Shunsuke Sato
Sotaro Kunii
Ippei Obayashi
Yasuaki Hiraoka
Yui Ogawa
Hirokazu Fukidome
Alexandre Lira Foggiatto
Chiharu Mitsumata
Ryunosuke Nagaoka
Arpita Varadwaj
Iwao Matsuda
Masato Kotsugi
author_sort Misato Tone
collection DOAJ
description We present a material analysis method that links structure and process in dendritic growth using explainable machine learning approaches. We employed persistent homology (PH) to quantitatively characterize the morphology of dendritic microstructures. By using interpretable machine learning with energy analysis, we established a robust relationship between structural features and Gibbs free energy. Through a detailed analysis of how Gibbs free energy evolves with morphological changes in dendrites, we uncovered specific conditions that influence the branching of dendritic structures. Moreover, energy gradient analysis based on morphological feature provides a deeper understanding of the branching mechanisms and offers a pathway to optimize thin-film growth processes. Integrating topology and free energy enables the optimization of a range of materials from fundamental research to practical applications.
format Article
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institution Kabale University
issn 2766-0400
language English
publishDate 2025-12-01
publisher Taylor & Francis Group
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series Science and Technology of Advanced Materials: Methods
spelling doaj-art-2631fe871a0448e9a20a91bf0809bf732025-08-20T03:51:29ZengTaylor & Francis GroupScience and Technology of Advanced Materials: Methods2766-04002025-12-015110.1080/27660400.2025.2475735Linking structure and process in dendritic growth using persistent homology with energy analysisMisato Tone0Shunsuke Sato1Sotaro Kunii2Ippei Obayashi3Yasuaki Hiraoka4Yui Ogawa5Hirokazu Fukidome6Alexandre Lira Foggiatto7Chiharu Mitsumata8Ryunosuke Nagaoka9Arpita Varadwaj10Iwao Matsuda11Masato Kotsugi12Department of Material Science and Technology, Tokyo University of Science, Tokyo, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanCenter for Artificial Intelligence and Mathematical Data Science, Okayama University, Kita-ku, Okayama, JapanKyoto University Institute for Advanced Study, Kyoto University, Sakyo-ku, Kyoto, JapanNTT Basic Research Laboratories, NTT Corporation, Atsugi, Kanagawa, JapanResearch Institute of Electrical Communication, Tohoku University, Sendai, Miyagi, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanInstitute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba, JapanDepartment of Material Science and Technology, Tokyo University of Science, Tokyo, JapanWe present a material analysis method that links structure and process in dendritic growth using explainable machine learning approaches. We employed persistent homology (PH) to quantitatively characterize the morphology of dendritic microstructures. By using interpretable machine learning with energy analysis, we established a robust relationship between structural features and Gibbs free energy. Through a detailed analysis of how Gibbs free energy evolves with morphological changes in dendrites, we uncovered specific conditions that influence the branching of dendritic structures. Moreover, energy gradient analysis based on morphological feature provides a deeper understanding of the branching mechanisms and offers a pathway to optimize thin-film growth processes. Integrating topology and free energy enables the optimization of a range of materials from fundamental research to practical applications.https://www.tandfonline.com/doi/10.1080/27660400.2025.2475735Persistent homologyfree energy analysisstructure-to-property linkagedendrite growth
spellingShingle Misato Tone
Shunsuke Sato
Sotaro Kunii
Ippei Obayashi
Yasuaki Hiraoka
Yui Ogawa
Hirokazu Fukidome
Alexandre Lira Foggiatto
Chiharu Mitsumata
Ryunosuke Nagaoka
Arpita Varadwaj
Iwao Matsuda
Masato Kotsugi
Linking structure and process in dendritic growth using persistent homology with energy analysis
Science and Technology of Advanced Materials: Methods
Persistent homology
free energy analysis
structure-to-property linkage
dendrite growth
title Linking structure and process in dendritic growth using persistent homology with energy analysis
title_full Linking structure and process in dendritic growth using persistent homology with energy analysis
title_fullStr Linking structure and process in dendritic growth using persistent homology with energy analysis
title_full_unstemmed Linking structure and process in dendritic growth using persistent homology with energy analysis
title_short Linking structure and process in dendritic growth using persistent homology with energy analysis
title_sort linking structure and process in dendritic growth using persistent homology with energy analysis
topic Persistent homology
free energy analysis
structure-to-property linkage
dendrite growth
url https://www.tandfonline.com/doi/10.1080/27660400.2025.2475735
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