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TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT

文献类型：期刊论文

作者Jiang, Kai2; Si, Wei2; Xu, Jie1,3
刊名SIAM JOURNAL ON APPLIED MATHEMATICS
出版日期2022
卷号82期号:4页码:1267-1286
关键词tilt grain boundaries quasiperiodicity spectral viewpoint projection method hexagonal structure
ISSN号0036-1399
DOI10.1137/21M1463288
英文摘要We propose a spectral viewpoint for grain boundaries that are generally quasiperiodic. To accurately capture the spectra computationally, it is crucial to adopt the projection method for quasiperiodic functions. Armed with the Lifshitz-Petrich free energy, we take the spectral viewpoint to examine tilt grain boundaries of the hexagonal phase. Several ingredients of grain boundaries are extracted, which are not easy to obtain from real-space profiles. We find that only a few spectra substantially contribute to the formation of grain boundaries. Their linear relation to the intrinsic spectra of the bulk hexagonal phase is independent of the tilt angle. By examining the feature of the spectral intensities, we propose a definition of the interface width. The widths calculated from this definition are consistent with visual estimation.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000877554700005
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60686]  
专题中国科学院数学与系统科学研究院
通讯作者Jiang, Kai
作者单位1.Chinese Acad Sci, LSEC, Beijing, Peoples R China
2.Xiangtan Univ, Natl Ctr Appl Math Hunan, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn,Key La, Xiangtan 411105, Hunan, Peoples R China
3.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp ICMSEC, Acad Math & Syst Sci AMSS, NCMIS, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Jiang, Kai,Si, Wei,Xu, Jie. TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2022,82(4):1267-1286.
APA Jiang, Kai,Si, Wei,&Xu, Jie.(2022).TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT.SIAM JOURNAL ON APPLIED MATHEMATICS,82(4),1267-1286.
MLA Jiang, Kai,et al."TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT".SIAM JOURNAL ON APPLIED MATHEMATICS 82.4(2022):1267-1286.

入库方式： OAI收割

来源：数学与系统科学研究院

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