Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes

In this study, a novel model is introduced when the Hall effect associated with a strong magnetic field is taken into account when the electrons and holes interact in the processes of semiconductor material. The plasma-elastic-thermal waves are investigated in the context of diffusive processes duri...

Full description

Saved in:
Bibliographic Details
Main Authors: Abdulkafi M. Saeed, Kh. Lotfy, Alaa. A. El-Bary
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/6597924
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552698718715904
author Abdulkafi M. Saeed
Kh. Lotfy
Alaa. A. El-Bary
author_facet Abdulkafi M. Saeed
Kh. Lotfy
Alaa. A. El-Bary
author_sort Abdulkafi M. Saeed
collection DOAJ
description In this study, a novel model is introduced when the Hall effect associated with a strong magnetic field is taken into account when the electrons and holes interact in the processes of semiconductor material. The plasma-elastic-thermal waves are investigated in the context of diffusive processes during optical-generated transport processes. The variable of thermal conductivity is obtained during graduated temperature due to the thermal impact of fallen light. The governing equations of the novel model are investigated in a unidimensional (1D) way when the electronics and elastic deformations have occurred. The Laplace transforms are used to convert the main dimensionless physical fields according to the initial conditions into the Laplace domain. When certain thermal, mechanical, holes, and electronic conditions are used, the analytical solutions of the fundamental fields can be produced to the outer surface of the semiconductor medium. Mathematically, the Laplacian computational inversion algorithm with a numerical approximation is used to achieve the fundamental physical quantities numerically in the time domain. The influences of several parameters (thermal relaxation times, Hall impact, and thermal conductivity parameters) on thermal conditions, mechanical stress, holes charge carrier field, and carrier density are prescribed with the help of graphical diagrams that are discussed theoretically.
format Article
id doaj-art-38f9215c28844734999d16fbdfde7309
institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-38f9215c28844734999d16fbdfde73092025-02-03T05:57:56ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6597924Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation ProcessesAbdulkafi M. Saeed0Kh. Lotfy1Alaa. A. El-Bary2Department of MathematicsDepartment of MathematicsArab Academy for Science, Technology and Maritime TransportIn this study, a novel model is introduced when the Hall effect associated with a strong magnetic field is taken into account when the electrons and holes interact in the processes of semiconductor material. The plasma-elastic-thermal waves are investigated in the context of diffusive processes during optical-generated transport processes. The variable of thermal conductivity is obtained during graduated temperature due to the thermal impact of fallen light. The governing equations of the novel model are investigated in a unidimensional (1D) way when the electronics and elastic deformations have occurred. The Laplace transforms are used to convert the main dimensionless physical fields according to the initial conditions into the Laplace domain. When certain thermal, mechanical, holes, and electronic conditions are used, the analytical solutions of the fundamental fields can be produced to the outer surface of the semiconductor medium. Mathematically, the Laplacian computational inversion algorithm with a numerical approximation is used to achieve the fundamental physical quantities numerically in the time domain. The influences of several parameters (thermal relaxation times, Hall impact, and thermal conductivity parameters) on thermal conditions, mechanical stress, holes charge carrier field, and carrier density are prescribed with the help of graphical diagrams that are discussed theoretically.http://dx.doi.org/10.1155/2022/6597924
spellingShingle Abdulkafi M. Saeed
Kh. Lotfy
Alaa. A. El-Bary
Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
Journal of Mathematics
title Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
title_full Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
title_fullStr Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
title_full_unstemmed Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
title_short Hall Current Effect of Magnetic-Optical-Elastic-Thermal-Diffusive Semiconductor Model during Electrons-Holes Excitation Processes
title_sort hall current effect of magnetic optical elastic thermal diffusive semiconductor model during electrons holes excitation processes
url http://dx.doi.org/10.1155/2022/6597924
work_keys_str_mv AT abdulkafimsaeed hallcurrenteffectofmagneticopticalelasticthermaldiffusivesemiconductormodelduringelectronsholesexcitationprocesses
AT khlotfy hallcurrenteffectofmagneticopticalelasticthermaldiffusivesemiconductormodelduringelectronsholesexcitationprocesses
AT alaaaelbary hallcurrenteffectofmagneticopticalelasticthermaldiffusivesemiconductormodelduringelectronsholesexcitationprocesses