期刊
WAVE MOTION
卷 50, 期 7, 页码 1153-1160出版社
ELSEVIER
DOI: 10.1016/j.wavemoti.2013.03.009
关键词
Diatomic lattice; Continuum limit; Nonlinear equation; Traveling wave solution; Localized strain wave
资金
- Russian Foundation for Basic Researches [12-01-00521-a]
- German Research Foundation (Deutsche Forschungsgemeinschaft) [WE 736/34-1, WE 736/30-1]
A possible improvement of a continuum model for diatomic crystals is examined using continuum limit of a discrete diatomic model. For this purpose, various discrete models of diatomic lattice are compared at the linearized and weakly nonlinear levels. The suitable numbering of the atoms in the lattice is found which is better adopted for continualization than the familiar pair numbering introducing two sub-lattices. The coupled governing partial nonlinear differential equations for longitudinal strain and relative distance between the atoms are obtained in the continuum limit that allows us to describe localization of the strains due to the presence of the atoms of two kinds. It is found, that the equations obtained possess two kinds of localized wave solutions, one related to the acoustical branch and the other one related to the optical branch. (C) 2013 Elsevier B.V. All rights reserved.
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