| 基于晶体位错理论的F-K模型方程的导出 |
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| 引用本文： | 范庆华.基于晶体位错理论的F-K模型方程的导出[J].河南科技大学学报(自然科学版),2006,27(2):4-7. |
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| 作者姓名： | 范庆华 |
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| 作者单位： | 华南理工大学,物理科学与技术学院,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金项目（10274057） |
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| 摘 要： | 以晶体的位错理论为基础,建立完全离散的晶体位错模型,仅考虑最近邻原子间相互作用,运用格林函数法,严格、定量导出F—K模型方程。
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| 关 键 词： | F—K模型 晶体位错 格林函数 傅立叶变换 |
| 文章编号： | 1672-6871（2006）02-0004-04 |
| 收稿时间： | 2005-10-30 |
| 修稿时间： | 2005年10月30 |
Eduction of Frenkel-Kontorova Model Equation Based on the Theory of Crystal Lattice Dislocation |
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| FAN Qing-Hua.Eduction of Frenkel-Kontorova Model Equation Based on the Theory of Crystal Lattice Dislocation[J].Journal of Henan University of Science & Technology:Natural Science,2006,27(2):4-7. |
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| Authors: | FAN Qing-Hua |
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| Abstract: | Frenkel-Kontorova (F-K) model and its solution have been widely applied, but it is based on the assumption that the atom line is in one dimensional sinusoidal periodic potential field. By using the theory of crystal lattice dislocations, the author creates a total discrete model for dislocation in two-dimensional square crystal lattice, in which only the nearest atom's interaction is considered.The Green function and Fourier transform are introduced to simplify the equations.With this method,the F-K model equation is strictly educed. |
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| Keywords: | Frenkel-Kontorova model Crystal lattice dislocation Green function Fourier transform |
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