From Discreteness to Continuity： Dislocation Equation for Two-Dimensional Triangular Lattice

作     者：王少峰 

作者机构：Institute for Structure and Function Chongqing University Chongqing 400044 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2007年第24卷第1期

页      面：143-146页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10274057 

主　　题：From Discreteness Dislocation Equation Two-Dimensional Triangular Lattice 

摘      要：A systematic method from the discreteness to the continuity is presented for the dislocation equation of the triangular lattice. A modification of the Peierls equation has been derived strictly. The modified equation includes the higher order corrections of the discrete effect which are important for the core structure of dislocation. It is observed that the modified equation possesses a universal form which is model-independent except the factors. The factors, which depend on the detail of the model, are related to the derivatives of the kernel at its zero point in the wave-vector space. The results open a way to deal with the complicated models because what one needs to do is to investigate the behaviour near the zero point of the kernel in the wave-vector space instead of calculating the kernel completely.