IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i2p264-d1024797.html
   My bibliography  Save this article

Thermal-Diffusive Processes of an Electron-Hole Non-Local Semiconductor Model with Variable Thermal Conductivity and Hall Current Effect

Author

Listed:
  • Abeer Alhashash

    (Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka 24241, Saudi Arabia)

  • Merfat H. Raddadi

    (Department of Mathematics, Faculty of Science, Taibah University, Madinah 42353, Saudi Arabia)

  • Alaa A. El-Bary

    (Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, Alexandria P.O. Box 1029, Egypt
    National Committee for Mathematics, Academy of Scientific Research and Technology, Cairo 4262104, Egypt)

  • Riadh Chteoui

    (Laboratory of Algebra, Number Theory and Nonlinear Analysis, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir 5019, Tunisia
    Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk 47512, Saudi Arabia)

  • Abdelwaheb Mhemdi

    (College of Sciences and Humanities in Aflaj, Prince Sattam Bin Abdulaziz University, Al Kharj 16278, Saudi Arabia)

  • Khaled Lotfy

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

Abstract

In this work, a novel model is presented that describes thermal diffusion processes through non-local semiconductor materials. The material under study is subjected to the influence of a strong magnetic field, which creates a Hall current. Interference between the excited electrons and the excited holes of a non-local semiconductor that had been exposed to temperature was present, and thermal conductivity depending on changes in graduated temperature were accounted for. The governing equations are written in a dimensionless form in one dimension (1D) where the thermal conductivity is taken as a function of temperature through electronic and elastic deformation (ED and ED) processes. Laplace transforms in one dimension with initial conditions were used to convert partial differential equations to arrive at exact formulas of solutions. To obtain the exact linear solutions, some boundary conditions taken on the free surface of the non-local semiconductor were used. Using numerical methods of inverse Laplace transforms, the complete solutions of the physical quantities under study were obtained. To further understand how various variables (thermal memory, variable thermal conductivity, and Hall current) affect the non-local semiconductor, numerical physical fields were simulated, and are graphically depicted, and discussed herein.

Suggested Citation

  • Abeer Alhashash & Merfat H. Raddadi & Alaa A. El-Bary & Riadh Chteoui & Abdelwaheb Mhemdi & Khaled Lotfy, 2023. "Thermal-Diffusive Processes of an Electron-Hole Non-Local Semiconductor Model with Variable Thermal Conductivity and Hall Current Effect," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:264-:d:1024797
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/2/264/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/2/264/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:264-:d:1024797. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.