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Morphological characterization of the diblock copolymer problem with topological computation

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Title: Morphological characterization of the diblock copolymer problem with topological computation
Authors: Teramoto, Takashi Browse this author
Nishiura, Yasumasa Browse this author
Keywords: Double gyroid
Microphase separation
The Betti number
Issue Date: Sep-2010
Publisher: Springer Japan
Journal Title: Japan Journal of Industrial and Applied Mathematics
Volume: 27
Issue: 2
Start Page: 175
End Page: 190
Publisher DOI: 10.1007/s13160-010-0014-9
Abstract: 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.
Rights: The original publication is available at
Type: article (author version)
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 西浦 廉政

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