| An improvement of the Peierls equation by taking into account the lattice effects |
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| 引用本文： | 王少峰. An improvement of the Peierls equation by taking into account the lattice effects[J]. 中国物理, 2005, 14(12): 2575-2584 |
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| 作者姓名： | 王少峰 |
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| 作者单位： | Institute for structure and function, Chongqing University, Chongqing 400044, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10274057). |
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| 摘 要： |
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| 关 键 词： | 佩尔斯方程 晶格效应 断层 立方晶格 |
| 收稿时间： | 2005-03-04 |
| 修稿时间： | 2005-09-03 |
An improvement of the Peierls equation by taking into account the lattice effects |
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| Wang Shao-Feng. An improvement of the Peierls equation by taking into account the lattice effects[J]. Chinese Physics, 2005, 14(12): 2575-2584 |
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| Authors: | Wang Shao-Feng |
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| Affiliation: | Institute for structure and function, Chongqing University, Chongqing 400044, China |
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| Abstract: | An improvement of the Peierls equation has been made by including the lattice effects. By using thenon-trivially gluing mechanism for the simple cubic lattice, in which atoms interact with its first and second nearest neighbours through a central force, the dislocation equation has been derivedrigorously for the isotropic case. In the slowly varying approximation, the Peierls equation with the improvement by including the lattice effects has been obtained explicitly. The new equation can be used to substitute for the old one in theoretical investigations of dislocations. The major change ofthe predicted dislocation structure is in the core region. The width of the dislocation given by using the new equation is about three times that given by the classical Peierls--Nabarro theoryfor the simple cubic lattice. |
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| Keywords: | dislocation Peierls equation lattice effect |
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