New epitaxial thin-film models and numerical approximation

doi:10.1002/mma.4269

CORC > 上海财经大学 > 上海财经大学

	New epitaxial thin-film models and numerical approximation
	Chen, Wenbin 1; Chen, Zhenhua 1; Cheng, Jin 1,2; Wang, Yanqiu 3
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2017-07-30
卷号	40 期号:11 页码:3855-3881
关键词	epitaxial thin-film growth Ehrlich-Schwoebel effect convex-concave splitting method semi-implicit time discretization
ISSN号	0170-4214
DOI	10.1002/mma.4269
英文摘要	This paper concerns new continuum phenomenological model for epitaxial thin-film growth with three different forms of the Ehrlich-Schwoebel current. Two of these forms were first proposed by Politi and Villain 1996 and then studied by Evans, Thiel, and Bartelt 2006. The other one is completely new. Energy structure and properties of the new model are studied. Following the techniques used in Li and Liu 2003, we present rigorous analysis of the well-posedness, regularity, and time stability for the new model. We also studied both the global and the local behavior of the surface roughness in the growth process. By using a convex-concave time-splitting scheme, one can naturally build unconditionally stable semi-implicit numerical discretizations with linear implicit parts, which is much easier to implement than conventional models requiring nonlinear implicit parts. Despite this fundamental difference in the model, numerical experiments show that the nonlinear morphological instability of the new model agrees well with results of other models published before which indicates that the new model correctly captures the essential morphological states in the thin-film growth process. Copyright (c) 2017 John Wiley & Sons, Ltd.
WOS研究方向	Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000403477500002
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/937]
专题	上海财经大学
通讯作者	Wang, Yanqiu
作者单位	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 3.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Chen, Wenbin,Chen, Zhenhua,Cheng, Jin,et al. New epitaxial thin-film models and numerical approximation[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(11):3855-3881.
APA	Chen, Wenbin,Chen, Zhenhua,Cheng, Jin,&Wang, Yanqiu.(2017).New epitaxial thin-film models and numerical approximation.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(11),3855-3881.
MLA	Chen, Wenbin,et al."New epitaxial thin-film models and numerical approximation".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.11(2017):3855-3881.