Magneto-photo-thermoelastic influences on a semiconductor hollow cylinder via a series-one-relaxation model

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-22 DOI:10.1016/j.cnsns.2024.108295

A.M. Zenkour , H.D. El-Shahrany , H.F. El-Mekawy

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Abstract

This article discusses the deformation of semiconductor cylinders in the context of photothermoelastic theory. The proposed model is used to describe thermal waves, plasma waves, and elastic waves and analyze the theoretical analysis of thermal deformation effects on semiconductor hollow cylinders. The interior of the hollow cylinder is clamped and unaffected by thermal loads and carrier concentrations, while the exterior is subject to sinusoidal heating and limited carrier density. In addition, the surface of the cylinder is surrounded by magnets in the direction of its axis. Initially, the governing equations are explained in Laplace domain and the Laplace inversion is used numerically. The results from thermal physics are presented graphically to investigate the impact of thermal relaxation and temperature on temperature of plasma thermoelastic waves. The effects of carrier diffusion coefficient and surface recombination rate on carrier concentration distribution are also discussed in detail.

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通过串一松弛模型对半导体空心圆柱体的磁-光-热弹性影响

本文以光热弹理论为背景，讨论了半导体圆柱体的变形问题。提出的模型用于描述热波、等离子体波和弹性波，并对半导体空心圆柱体的热变形效应进行理论分析。空心圆柱体的内部是夹紧的，不受热负荷和载流子浓度的影响，而外部则受到正弦波加热和载流子密度的限制。此外，圆柱体表面沿轴线方向被磁铁包围。最初，在拉普拉斯域中解释了支配方程，并使用拉普拉斯反演进行数值计算。热物理学的结果以图表形式呈现，以研究热弛豫和温度对等离子体热弹性波温度的影响。此外，还详细讨论了载流子扩散系数和表面重组率对载流子浓度分布的影响。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.