一个随机双相滞后的双温度光热弹性模型,用于具有初始应力的双孔半导体
Eman Ghareeb Rezk1, Gamal M Ismail2, Abdelaala Ahmed3
1Mathematical Science Department, College of Science, Princess Nourah bint Abdulrahman University, P.O.Box 84428, 11671, Riyadh, Saudi Arabia.
Scientific reports
|November 22, 2025
概括
这项研究使用双相滞后和双温度理论对半导体的随机热弹性进行了建模. 它揭示了多孔性和相位延迟如何影响随机激发下的波传播和热方差.
科学领域:
- 固体力学 固体力学是什么
- 半导体物理 半导体物理
- 波浪传播 波浪传播
背景情况:
- 光热波传播在半导体设备中至关重要.
- 了解随机效应对于设备可靠性至关重要.
- 现有的模型往往缺乏全面的随机和微观结构考虑.
研究的目的:
- 为双孔半导体开发一个随机热弹性模型.
- 分析光热波在初始应力下的传播,使用双相延迟和双温度理论.
- 研究随机扰动对热和机械场的影响.
主要方法:
- 一个综合性的随机热弹性模型,结合了双相延迟和双温度理论.
- 通过基于维纳过程的边界噪声引入随机扰动.
- 基于卷积的分析公式在拉普拉斯 - 里埃域中解决,并以数值逆转.
主要成果:
- 增加孔隙性增强波衰减,并改变热力学合.
- 较高的相位延迟参数延迟温度和应力传播.
- 两个温度合参数显著影响热差,显示对微结构和放松效应的敏感性.
结论:
- 该模型提供了对半导体随机不确定性的洞察.
- 这些发现与MEMS和在随机热负荷下的光热弹性设备设计有关.
- 模型稳定性和实际相关性通过在物理界限内的方差幅度得到证实.
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