Memory effects in isotropic semiconductors: a three-phase lag model analysis

IF 2.1 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Mechanics of Time-Dependent Materials Pub Date : 2024-02-27 DOI:10.1007/s11043-024-09677-5

Kirti K. Jojare, Kishor R. Gaikwad

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Abstract

This article aims to explore the isotropic three-phase (3PH) lag magneto-photo-thermoelastic (PTE) theory in semiconductor medium, with a focus on its memory-dependent-derivative (MDD) characteristics. The equations for displacement, temperature distribution, carrier density, and stress components resulting from this theory are formulated using these characteristics and then transformed into a Fourier-Laplace vector matrix differential equation. An eigenvalue approach is used to solve this equation, and the numerical solution is obtained by inverting Fourier and Laplace transforms. Graphical results based on the characteristics of silicon material are visualized through the use of Mathematica software. The validity of the proposed model is evaluated by comparing them with previously published results. The outputs demonstrate that the impact of MDD in this 3PH model was analyzed in detail by showing the effect of coupling between thermal, plasma, and elastic waves with the presence of time-delay parameters and linear kernel function. Additionally, the presence of several kernel functions reveals significant differences in these magneto PTE quantities. The authors believe this study will help more accurately characterize materials, optimize device design, and explore nonlinear and transient phenomena in more detail.

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各向同性半导体中的记忆效应：三相滞后模型分析

本文旨在探讨半导体介质中的各向同性三相（3PH）滞后磁致热弹性（PTE）理论，重点关注其记忆依赖衍生（MDD）特性。根据这些特性，我们制定了该理论产生的位移、温度分布、载流子密度和应力分量方程，然后将其转换为傅里叶-拉普拉斯矢量矩阵微分方程。采用特征值方法求解该方程，并通过傅里叶和拉普拉斯变换求得数值解。通过使用 Mathematica 软件，基于硅材料特性的图形结果得以可视化。通过与之前公布的结果进行比较，评估了所提模型的有效性。结果表明，通过显示热波、等离子体波和弹性波之间的耦合效应，以及时间延迟参数和线性核函数的存在，详细分析了 MDD 在此 3PH 模型中的影响。此外，多个核函数的存在显示了这些磁 PTE 量的显著差异。作者认为这项研究将有助于更准确地描述材料特性、优化设备设计以及更详细地探索非线性和瞬态现象。

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来源期刊

Mechanics of Time-Dependent Materials 工程技术-材料科学：表征与测试

CiteScore

4.90

自引率

8.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.