Study of high-frequency vibrational modes for nonlinear diatomic chains | |
G. H. Zhou ; J. R. Yan ; T. Yi ; Y. W. Duan ; Z. H. Chen | |
刊名 | Physica Status Solidi B-Basic Research
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1997 | |
卷号 | 200期号:1页码:49-56 |
关键词 | hydrogen-bonded systems lattices excitations crystals dynamics |
ISSN号 | 0370-1972 |
中文摘要 | 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. |
原文出处 | |
公开日期 | 2012-04-14 |
内容类型 | 期刊论文 |
源URL | [http://ir.imr.ac.cn/handle/321006/38238] ![]() |
专题 | 金属研究所_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. |
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