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Thermodiffusion Waves of Mechanical Ramp Non-Local Excited Semiconductor Medium with Variable Thermal Conductivity

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Abstract

In this work, a novel mechanical-elastic-thermodiffusion (METD) model is studied for the non-local semiconductor material. The interferences between the holes and electrons for the photo-excited medium are taken into account. The photothermal theory and the generalized thermoelasticity theory are applied to describe the governing equations. The non-local medium is investigated according to changes in thermal conductivity when the thermal conductivity depends on the temperature gradient. During the excitation transport processes according to the one-dimensional (1D) deformation, the thermoelastic deformation (TED) and electronic deformation (ED) are considered. The main fields are taken dimensionless to obtain some new parameters. To obtain the main quantities algebraically, the Laplace transform is applied. The mechanical ramp type is applied during the thermal-plasma recombination processes taken on the exciting free surface. The inversion technique of Laplace transform according to some approximations is utilized numerically to obtain the closed-form of the main fields. The non-local, thermal memories and thermal conductivity parameters of semiconductor medium are taken into consideration to carry out some comparisons graphically and discussed theoretically for silicon medium.

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Acknowledgments

This research was funded by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R229), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

Funding

This research was funded by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R229), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

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Authors and Affiliations

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

    Weaam Alhejaili

  2. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box44519, Zagazig, Egypt

    Kh. Lotfy

  3. Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

    Kh. Lotfy

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

    A. El-Bary

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

    A. El-Bary

  6. National Committee for Mathematics, Academy of Scientific Research and Technology, Cairo, Egypt

    A. El-Bary

  7. Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi Arabia

    M. Alkinidri

Authors
  1. Weaam Alhejaili
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  2. Kh. Lotfy
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  3. A. El-Bary
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  4. M. Alkinidri
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Contributions

Kh. Lotfy: Conceptualization, Methodology, Software. W. Alhejaili: Data curation, Writing- Original draft preparation. A. El-Bary: Supervision, Visualization, Investigation, Software, Validation. M. Alkinidri: Writing- Reviewing and Editing.

Corresponding author

Correspondence to Kh. Lotfy.

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Alhejaili, W., Lotfy, K., El-Bary, A. et al. Thermodiffusion Waves of Mechanical Ramp Non-Local Excited Semiconductor Medium with Variable Thermal Conductivity. Silicon 14, 12707–12719 (2022). https://doi.org/10.1007/s12633-022-01970-7

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  • DOI: https://doi.org/10.1007/s12633-022-01970-7

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