The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity
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Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
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Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania
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Author to whom correspondence should be addressed.
Academic Editor: Hongyu Liu
Mathematics 2022, 10(1), 121; https://doi.org/10.3390/math10010121
Received: 10 December 2021
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Revised: 24 December 2021
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Accepted: 30 December 2021
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Published: 1 January 2022
(This article belongs to the Special Issue Advances in Dynamical System Modelling and Computer-Aided Design)
This article focuses on the study of redial displacement, the carrier density, the conductive and thermodynamic temperatures and the stresses in a semiconductor medium with a spherical hole. This study deals with photo-thermoelastic interactions in a semiconductor material containing a spherical cavity. The new hyperbolic theory of two temperatures with one-time delay is used. The internal surface of the cavity is constrained and the density of carriers is photogenerated by a heat flux at the exponentially decreasing pulse boundaries. The analytical solutions by the eigenvalues approach under the Laplace transformation approaches are used to obtain the solution of the problem and the inversion of the Laplace transformations is performed numerically. Numerical results for semiconductor materials are presented graphically and discussed to show the variations of physical quantities under the present model.
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Keywords:
spherical cavity; thermal relaxation time; Laplace transforms; hyperbolic two-temperature; eigenvalues approach
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MDPI and ACS Style
Hobiny, A.; Abbas, I.; Marin, M. The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity. Mathematics 2022, 10, 121. https://doi.org/10.3390/math10010121
AMA Style
Hobiny A, Abbas I, Marin M. The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity. Mathematics. 2022; 10(1):121. https://doi.org/10.3390/math10010121
Chicago/Turabian StyleHobiny, Aatef, Ibrahim Abbas, and Marin Marin. 2022. "The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity" Mathematics 10, no. 1: 121. https://doi.org/10.3390/math10010121
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