Small amplitude approximation and stabilities for dislocation motion in a superlattice  

作　　者：刘华珠 罗诗裕 邵明珠 

机构地区：[1]School of Electronic Engineering, Dongguan University of Technology

出　　处：《Chinese Physics B》2013年第4期508-512,共5页中国物理B（英文版）

基　　金：Project supported by the Guangdong Provincial Science and Technology Project, China (Grant No. 2012B010100043)

摘　　要：Starting from the traveling wave solution, in small amplitude approximation, the Sine–Gordon equation can be re- duced to a generalized Duffing equation to describe the dislocation motion in a superlattice, and the phase plane properties of the system phase plane are described in the absence of an applied field. The stabilities are also discussed in the presence of an applied field. It is pointed out that the separatrix orbit describing the dislocation motion as the kink wave may transfer the energy along the dislocation line, keep its form unchanged, and reveal the soliton wave properties of the dislocation motion. It is stressed that the dislocation motion process is the energy transfer and release process, and the system is stable when its energy is minimum.Starting from the traveling wave solution, in small amplitude approximation, the Sine–Gordon equation can be re- duced to a generalized Duffing equation to describe the dislocation motion in a superlattice, and the phase plane properties of the system phase plane are described in the absence of an applied field. The stabilities are also discussed in the presence of an applied field. It is pointed out that the separatrix orbit describing the dislocation motion as the kink wave may transfer the energy along the dislocation line, keep its form unchanged, and reveal the soliton wave properties of the dislocation motion. It is stressed that the dislocation motion process is the energy transfer and release process, and the system is stable when its energy is minimum.

关 键 词：SUPERLATTICE Sine–Gordon equation Duffing equation STABILITIES dislocation dynamics 

分 类 号：TB303[一般工业技术—材料科学与工程]