Study of high-frequency vibrational modes for nonlinear diatomic chains

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	Study of high-frequency vibrational modes for nonlinear diatomic chains
	G. H. Zhou; J. R. Yan; T. Yi; Y. W. Duan; Z. H. Chen
	1997
发表期刊	Physica Status Solidi B-Basic Research
ISSN	0370-1972
卷号	200 期号:1 页码:49-56
摘要	The model of a one-dimensional diatomic chain with two different types of nonlinearity (quartic nearest-neighbor interparticle interaction potential and substrate potential, respectively) is studied. The nonlinear partial differential-difference equations in the two parallel cases for the model are transformed into nonlinear ordinary differential equations by the approach cf decoupling ansatz plus continuum approximation. Through the qualitative analysis the nonlinear vibrational modes with various frequencies above the cut-off frequency of the linear spectrum are obtained for the systems. The difference of the modes for the two types of nonlinearity almost disappears as the mass of heavy atoms is three times greater than that of light ones. This similarity of interparticle interaction nonlinearity to substrate nonlinearity for the nonlinear diatomic chain is in agreement with the origin of the nonlinear substrate potential.
部门归属	hunan normal univ, inst nonlinear sci, changsha 410081, peoples r china. acad sinica, int ctr mat phys, inst met res, shenyang 110015, peoples r china. ctr s univ technol, changsha 410082, peoples r china.;zhou, gh (reprint author), hunan normal univ, dept phys, changsha 410081, peoples r china
关键词	Hydrogen-bonded Systems Lattices Excitations Crystals Dynamics
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/38238
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	G. H. Zhou,J. R. Yan,T. Yi,et al. Study of high-frequency vibrational modes for nonlinear diatomic chains[J]. Physica Status Solidi B-Basic Research,1997,200(1):49-56.
APA	G. H. Zhou,J. R. Yan,T. Yi,Y. W. Duan,&Z. H. Chen.(1997).Study of high-frequency vibrational modes for nonlinear diatomic chains.Physica Status Solidi B-Basic Research,200(1),49-56.
MLA	G. H. Zhou,et al."Study of high-frequency vibrational modes for nonlinear diatomic chains".Physica Status Solidi B-Basic Research 200.1(1997):49-56.