TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT

doi:10.1137/21M1463288

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	TILT GRAIN BOUNDARIES OF HEXAGONAL STRUCTURES: A SPECTRAL VIEWPOINT
	Jiang, Kai 1; Si, Wei 1; Xu, Jie 2,3
	2022
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	82 期号:4 页码:1267-1286
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.
关键词	tilt grain boundaries quasiperiodicity spectral viewpoint projection method hexagonal structure
DOI	10.1137/21M1463288
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000877554700005
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60687
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.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 2.Chinese Acad Sci, LSEC, Beijing, 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.