正弦-高登方程与超晶格系统的相平面特征  

Sine-Gordon Equation and Phase Plane Characteristics for Superlattice System

作　　者：牛银菊[1] 朱策 邵明珠[3] 

机构地区：[1]东莞理工大学 计算机学院 [2]重庆警备区自动化研究所,重庆400074 [3]东莞理工大学 电子工程学院,广东东莞523808

出　　处：《半导体光电》2012年第4期533-536,共4页Semiconductor Optoelectronics

基　　金：国家自然科学基金项目(10947140);广东省自然科学基金项目(10451170003004948);东莞市科技计划项目(2008108101002)

摘　　要：在经典力学框架内,把Seeger方程化为广义的Sine-Gordon方程,从行波解出发,把Sine-Gordon方程进一步化为带有固定力矩的摆方程。用Jacobian椭圆函数和椭圆积分解析地描述了系统的相平面特征。基于物理学的功能原理,提出了用能量法对系统进行分析,再借助相面积概念,引入能量释放系数进一步刻画了位错的能量释放机制。结果表明,由于晶格常数不匹配或外延条件不理想,在一定条件下位错聚集的能量是可以完成转移与释放的。In the framework of classical mechanics, the Seeger equation was reduced into generalized Sine-Gordon equation, and starting from the traveling wave solutions, the Sine- Gordon equation was further reduced into the pendulum equation with a fixed moment. The phase plane characteristics of the system were described analytically by Jacobian elliptic functions and elliptic integrals. Based on function-energy principle in the physics, the energy method was proposed to analyze the system. factor was introduced to further Then by using the concept of phase space, the energy release characterize the dislocation energy release mechanism. The results show that owing to lattice constant mismatch or unideal extension conditions, the collected energy by dislocations can be transfered and released under eertzin onnrl^t;n,~

关 键 词：超晶格 位错 正弦-高登方程 哈密顿量 能量法 

分 类 号：O369[理学—流体力学]