Morphological characterization of the diblock copolymer problem with topological computation

Teramoto, Takashi; Nishiura, Yasumasa

Japan Journal of Industrial and Applied Mathematics, 2010, 27(2), 175-190

Permalink : https://hdl.handle.net/2115/44297

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アクセス権	open access
URI	https://hdl.handle.net/2115/44297
タイトル	Morphological characterization of the diblock copolymer problem with topological computation
著者	著者名 Teramoto, Takashi
著者	著者名 Nishiura, Yasumasa
言語	英語
キーワード	Double gyroid
	Microphase separation
	The Betti number
発行日	2010-09
出版者	Springer Japan
収録物名	Japan Journal of Industrial and Applied Mathematics
巻(号)	27(2)
ページ	175-190
抄録	Our subject is the diblock copolymer problem in a three-dimensional space. Using numerical simulations, the double gyroid and orthorhombic morphologies are obtained as energy minimizers. By investigating the geometric properties of these bicontinuous morphologies, we demonstrate the underlying mechanism affecting the triply periodic energy minimizers in terms of a balanced scaling law. We also apply computational homology to their characterization during the dynamics of morphology transition. Our topological approaches detect the morphology of transient perforated layers as they transition from layers to cylinders, and the t^[-1] law of the Betti number in the phase ordering process.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	The original publication is available at www.springerlink.com
PISSN	0916-7005
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s13160-010-0014-9