Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 47807-047807.doi: 10.1088/1674-1056/22/4/047807

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Small amplitude approximation and stabilities for dislocation motion in superlattice

刘华珠, 罗诗裕, 邵明珠   

  1. School of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China
  • 收稿日期:2012-06-01 修回日期:2012-07-15 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the Guangdong Provincial Science and Technology Project, China (Grant No. 2012B010100043).

Small amplitude approximation and stabilities for dislocation motion in superlattice

Liu Hua-Zhu (刘华珠), Luo Shi-Yu (罗诗裕), Shao Ming-Zhu (邵明珠)   

  1. School of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China
  • Received:2012-06-01 Revised:2012-07-15 Online:2013-03-01 Published:2013-03-01
  • Contact: Liu Hua-Zhu E-mail:654650052@qq.com
  • Supported by:
    Project supported by the Guangdong Provincial Science and Technology Project, China (Grant No. 2012B010100043).

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摘要： Starting from the traveling wave solution, in small amplitude approximation, Sine-Gordon equation can be reduced to a generalized Duffing equation to describe the dislocation motion in superlattice, and the phase plane properties of system phase plane are described in the absence of applied field, the stabilities are also discussed in the presence of 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

Abstract: Starting from the traveling wave solution, in small amplitude approximation, Sine-Gordon equation can be reduced to a generalized Duffing equation to describe the dislocation motion in superlattice, and the phase plane properties of system phase plane are described in the absence of applied field, the stabilities are also discussed in the presence of 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.

Key words: superlattice, Sine-Gordon equation, Duffing equation, stabilities, dislocation dynamics

中图分类号:  (Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)

  • 78.67.-n
74.78.Fk (Multilayers, superlattices, heterostructures) 73.21.Cd (Superlattices) 81.05.Xj (Metamaterials for chiral, bianisotropic and other complex media)