| 扰动边界条件下晶体生长模型的渐近分析 |
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| 引用本文： | 刘竞,陈明文,王自东. 扰动边界条件下晶体生长模型的渐近分析[J]. 北京工商大学学报(自然科学版), 2006, 24(1): 63-65 |
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| 作者姓名： | 刘竞 陈明文 王自东 |
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| 作者单位： | 1. 北京科技大学,数学力学系,北京,100083
2. 北京科技大学,材料科学与工程学院,北京,100083 |
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| 摘 要： | 主要研究扰动边界条件下的二维非稳态晶体生长问题,利用摄动方法将问题展开后求出问题的零阶及一阶渐近解进行讨论.发现其解在晶体生长方向呈现出指数衰减,从理论上证明了固液界面前沿温度呈现指数衰减是晶体生长的一个本质特性.并提出扰动边界条件下具有固液平直界面的晶体生长问题的稳定性条件,为晶体生长的理论研究及实验工作提供一些理论依据.
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| 关 键 词： | 晶体生长 偏微分方程 多重尺度法 |
| 文章编号： | 1671-1513（2006）01-0063-03 |
| 收稿时间： | 2005-09-20 |
| 修稿时间： | 2005-09-20 |
ASYMPTOTIC ANALYSIS OF CRYSTAL GROWTH MODEL IN PERTURBATION BOUNDARY CONDITIONS |
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| LIU Jing,CHEN Ming-wen,WANG Zi-dong. ASYMPTOTIC ANALYSIS OF CRYSTAL GROWTH MODEL IN PERTURBATION BOUNDARY CONDITIONS[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2006, 24(1): 63-65 |
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| Authors: | LIU Jing CHEN Ming-wen WANG Zi-dong |
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| Affiliation: | 1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China ; 2. Material Science and Engineering School, University of Science and Technology Beijing , Beijing 100083, China |
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| Abstract: | This text mainly studies the two-dimentional non-stable crystal growth question under the perturbation boundary conditions.It launches the model and solves zeroth step and one step question with perturbation method,its solution exponentially descending along the crystal growth direction by discussing the solution.The result theoretically confirms that this feature is an intrinsic character of the crystal growth,and proposes the stability condition of the solid liquid straight interface crystal growth under the perturbation condition.It provides some theoretical proof for the theoretical research of crystal growth and experimental work. |
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| Keywords: | crystal growth partial differential equation multiple variables expansion method |
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