Elasto-thermoelectronic diffusion waves with changing thermal conductivity and thermal heating of microtemperature semiconductor

Author:

Raddadi Merfat H.1,El-Sapa Shreen2,Saeed Abdulkafi M.3ORCID,El-Bary Alaa A.45,Lotfy Khaled16ORCID

Affiliation:

1. Department of Mathematics, College of Science, Taibah University 1 , P.O. Box 344, Al-Madinah Al-Munawarah 30002, Saudi Arabia

2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University 2 , P.O. Box 84428, Riyadh 11671, Saudi Arabia

3. Department of Mathematics, College of Science, Qassim University 3 , P.O. Box 6644, Buraydah 51452, Saudi Arabia

4. Arab Academy for Science, Technology and Maritime Transport 4 , P.O. Box 1029, Alexandria, Egypt

5. Council of Future Studies and Risk Management, Academy of Scientific Research and Technology 5 , Cairo, Egypt

6. Department of Mathematics, Faculty of Science, Zagazig University 6 , P.O. Box 44519, Zagazig, Egypt

Abstract

This paper presents a theoretical investigation of linear thermal conductivity temperature-dependent coupled elasto-thermoelectronic diffusion (ETD) waves in a micro-temperature semiconductor, specifically focusing on the effects of photo-excited processes. The governing equations are formulated for a semi-infinite silicon wafer, which serves as a semiconductor material. The explicit study of the strong coupling between the equations governing elastic wave transport, carrier (plasma) transport, and thermal wave transport is conducted in the presence of microtemperature influence. The electron–hole interaction is obtained within the framework of the ETD theory. Laplace transform is used to resolve the governing equations in a non-dimensional framework for thermoelastic and electronic deformation in one-dimensional (1D) scenarios. The present study employs the proposed model to analyze the impact of ramp-type heating on a stationary plane of unbounded semiconductor material. Thermoelastic electronic coupling is found to be affected by the presence of variable thermal conductivity and microtemperature parameters.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

AIP Publishing

Subject

General Physics and Astronomy

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