| 二元体相分离模型的静态分歧 |
| |
| 引用本文： | 闫东明.二元体相分离模型的静态分歧[J].浙江大学学报(理学版),2019,46(5):537-542. |
| |
| 作者姓名： | 闫东明 |
| |
| 作者单位： | 浙江财经大学 数据科学学院，浙江 杭州 310018 |
| |
| 摘 要： | 运用非线性分歧理论，研究二元体相分离模型的静态分歧，给出了一个与该模型线性问题第一特征值相关的临界值。当参数超过该临界值时，二元体相分离模型有静态分歧发生，此时相应的二元体有相分离现象发生。此外，提出影响二元体相分离现象发生的主要因素是晶格间距和二元体所在区域的形状。
|
| 关 键 词： | 二元体模型 分歧理论 Fredholm 算子 静态分歧 相分离 |
| 收稿时间： | 2018-12-11 |
On the steady state bifurcation of the binary alloys system. |
| |
| YAN Dongming.On the steady state bifurcation of the binary alloys system.[J].Journal of Zhejiang University(Sciences Edition),2019,46(5):537-542. |
| |
| Authors: | YAN Dongming |
| |
| Affiliation: | School of Data Sciences, Zhejiang University of Finance and Economics, Hangzhou 310018, China |
| |
| Abstract: | In this paper, the steady state bifurcation of the binary alloys system is investigated. By using the nonlinear bifurcation theory, we prove that this system bifurcates from the trivial solution to the nontrivial solution branch when the parameter crosses certain critical value, which is related to the first eigenvalue of the relevant linear problem. In this case phase separation will occur in binary alloys. Furthermore, we obtain that lattice spacing and the shape of the domain are the key factors that affect the phase separation in binary alloys. |
| |
| Keywords: | binary alloys bifurcation theory Fredholm operator steady state bifurcation phase separation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
