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| 二维稳态晶体生长浓度控制方程的精确解 | |
| 引用本文： | 廖福成,王自东,刘贺平.二维稳态晶体生长浓度控制方程的精确解[J].北京工商大学学报(自然科学版),2004,22(5):59-62. |
| 作者姓名： | 廖福成 王自东 刘贺平 |
| 作者单位： | 1. 北京科技大学,应用科学学院,北京,100083 2. 北京科技大学,材料科学与工程学院,北京,100083 3. 北京科技大学,信息工程学院,北京,100083 |
| 基金项目： | 国家重点基础研究发展计划(973计划) , 北京市科技新星计划项目 |
| 摘 要： | 利用傅里叶级数展开,将稳态晶体生长的浓度控制方程转化为一阶常微分方程组.利用对于一阶常微分方程组性质的讨论,得到了稳态晶体生长控制方程的精确解.理论结果可用于揭示稳态胞晶体周期性增长的本质特性. |
| 关 键 词： | 晶体生长 偏微分方程 傅里叶级数 |
| 文章编号： | 1671-1513(2004)05-0059-03 |
| 修稿时间： | 2004年2月20日 |
EXACT SOLUTIONS OF GOVERNING EQUATIONS FOR TWO-DIMENSION STEADY STATE CRYSTAL GROWTH |
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| LIAO Fu-cheng,WANG Zi-dong,LIU He-ping.EXACT SOLUTIONS OF GOVERNING EQUATIONS FOR TWO-DIMENSION STEADY STATE CRYSTAL GROWTH[J].Journal of Beijing Technology and Business University:Natural Science Edition,2004,22(5):59-62. | |
| Authors: | LIAO Fu-cheng WANG Zi-dong LIU He-ping |
| Institution: | LIAO Fu-cheng~1,WANG Zi-dong~2,LIU He-ping~3 |
| Abstract: | A class of partial differential equations (PDE) which describe two-dimension steady state crystal growth for concentration were studied. By using Fourier series expansion method, we can change the PDE into a set of ordinary differential equations (ODEs). Making use of properties of ODEs, the exact solution of the PDE was obtained. The result shows that the concentration in the solid-liquid interface is exponentially damped oscillation. |
| Keywords: | crystal growth partial differential equation fourier series |
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