Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity

This study presents a novel investigation of fractional photo-thermoelastic wave propagation in hydrodynamic semiconductor media, incorporating the combined influences of Hall currents and spatially variable thermal conductivity under laser-pulsed excitation. The model builds upon the generalized ph...

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Main Authors: Khaled Lotfy, Ibrahim S. Elshazly, Imed Bachar, Saurav Sharma, Alaa A. El-Bary, Nesreen A. Yaseen
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X2500440X
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author Khaled Lotfy
Ibrahim S. Elshazly
Imed Bachar
Saurav Sharma
Alaa A. El-Bary
Nesreen A. Yaseen
author_facet Khaled Lotfy
Ibrahim S. Elshazly
Imed Bachar
Saurav Sharma
Alaa A. El-Bary
Nesreen A. Yaseen
author_sort Khaled Lotfy
collection DOAJ
description This study presents a novel investigation of fractional photo-thermoelastic wave propagation in hydrodynamic semiconductor media, incorporating the combined influences of Hall currents and spatially variable thermal conductivity under laser-pulsed excitation. The model builds upon the generalized photo-thermoelasticity framework, extending it with fractional-order heat conduction to account for memory effects and non-Fourier behavior at the nanoscale. By introducing a temperature-dependent thermal conductivity function, the heat transfer equation reflects realistic diffusion patterns found in poro-semiconductor materials under dynamic thermal loading. The Hall current effect introduces additional electromagnetic-mechanical coupling, modifying carrier transport and wave dynamics. A system of coupled field equations is formulated, incorporating fractional heat conduction, charge carrier motion, and excess pore pressure in a poro-hydrodynamic semiconductor environment. The normal mode analysis technique is employed to derive analytical expressions for the physical variables, and the influence of thermal conductivity variation is examined in detail. Results illustrate the significant impact of non-uniform thermal conduction and Hall currents on the physical fields. The findings contribute to the optimization of semiconductor device design, with implications for advanced photothermal technologies, optoelectronic systems, and energy harvesting applications.
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issn 2214-157X
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publishDate 2025-07-01
publisher Elsevier
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series Case Studies in Thermal Engineering
spelling doaj-art-d2b189a9e80c459390a8aa4799f7c8bf2025-08-20T03:20:22ZengElsevierCase Studies in Thermal Engineering2214-157X2025-07-017110618010.1016/j.csite.2025.106180Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivityKhaled Lotfy0Ibrahim S. Elshazly1Imed Bachar2Saurav Sharma3Alaa A. El-Bary4Nesreen A. Yaseen5Department of Mathematics, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt; Corresponding author.Department of Basic Sciences, Common First Year, King Saud University, Riyadh, 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaUniversity of Houston Cullen College of Engineering, 7900 Cambridge Street, #7-2G, Houston, TX, 77054, USAArab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, EgyptDepartment of Information Systems, Higher Institute for Computers Science, El-Shorouk Academy, Cairo, EgyptThis study presents a novel investigation of fractional photo-thermoelastic wave propagation in hydrodynamic semiconductor media, incorporating the combined influences of Hall currents and spatially variable thermal conductivity under laser-pulsed excitation. The model builds upon the generalized photo-thermoelasticity framework, extending it with fractional-order heat conduction to account for memory effects and non-Fourier behavior at the nanoscale. By introducing a temperature-dependent thermal conductivity function, the heat transfer equation reflects realistic diffusion patterns found in poro-semiconductor materials under dynamic thermal loading. The Hall current effect introduces additional electromagnetic-mechanical coupling, modifying carrier transport and wave dynamics. A system of coupled field equations is formulated, incorporating fractional heat conduction, charge carrier motion, and excess pore pressure in a poro-hydrodynamic semiconductor environment. The normal mode analysis technique is employed to derive analytical expressions for the physical variables, and the influence of thermal conductivity variation is examined in detail. Results illustrate the significant impact of non-uniform thermal conduction and Hall currents on the physical fields. The findings contribute to the optimization of semiconductor device design, with implications for advanced photothermal technologies, optoelectronic systems, and energy harvesting applications.http://www.sciencedirect.com/science/article/pii/S2214157X2500440XVariable thermal conductivityFractional heat conductionHall currentPhoto-thermoelasticityHydrodynamic semiconductorWave propagation
spellingShingle Khaled Lotfy
Ibrahim S. Elshazly
Imed Bachar
Saurav Sharma
Alaa A. El-Bary
Nesreen A. Yaseen
Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
Case Studies in Thermal Engineering
Variable thermal conductivity
Fractional heat conduction
Hall current
Photo-thermoelasticity
Hydrodynamic semiconductor
Wave propagation
title Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
title_full Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
title_fullStr Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
title_full_unstemmed Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
title_short Fractional photo-thermoelastic waves of hydrodynamic semiconductors with Hall currents and variable thermal conductivity
title_sort fractional photo thermoelastic waves of hydrodynamic semiconductors with hall currents and variable thermal conductivity
topic Variable thermal conductivity
Fractional heat conduction
Hall current
Photo-thermoelasticity
Hydrodynamic semiconductor
Wave propagation
url http://www.sciencedirect.com/science/article/pii/S2214157X2500440X
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