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<p>The primary objective of this study is to investigate the stochastic plasma-mechanical-elastic wave propagation at the boundary of an elastic half-space in a semiconductor material using photo-thermoelasticity theory. The novelty of this work lies in the combination of stochastic simulation with temperature-dependent electrical conductivity and variable thermal conductivity, applied to a two-dimensional (2D) electromagnetic problem based on the electron-hole interaction model. Unlike previous studies, this work incorporates white noise as the randomness factor, providing a more realistic representation of random processes in semiconductor materials. The normal mode analysis technique is used to derive both deterministic and stochastic wave behaviors, focusing on short-time dynamics. The results, which are numerically analyzed and graphically represented, provide new insights into the differential behavior of stochastic versus deterministic distributions in magneto-photo-thermoelastic wave propagation, contributing to a more comprehensive understanding of semiconductor behavior under random influences.</p>

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Stochastic Process of Magneto-Photo-Thermoelastic Waves in Semiconductor Materials with the Change in Electrical Conductivity

  • 期刊论文

  • 发表日期：

    2025年1月2日

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  • Khaled Lotfy,
  • Saurav Sharma,
  • Borhen Halouani,
  • Abdelaala Ahmed,
  • Alaa A. El-Bary,
  • Ramdan S. Tantawi,
  • Eslam S. Elidy

摘要

The primary objective of this study is to investigate the stochastic plasma-mechanical-elastic wave propagation at the boundary of an elastic half-space in a semiconductor material using photo-thermoelasticity theory. The novelty of this work lies in the combination of stochastic simulation with temperature-dependent electrical conductivity and variable thermal conductivity, applied to a two-dimensional (2D) electromagnetic problem based on the electron-hole interaction model. Unlike previous studies, this work incorporates white noise as the randomness factor, providing a more realistic representation of random processes in semiconductor materials. The normal mode analysis technique is used to derive both deterministic and stochastic wave behaviors, focusing on short-time dynamics. The results, which are numerically analyzed and graphically represented, provide new insights into the differential behavior of stochastic versus deterministic distributions in magneto-photo-thermoelastic wave propagation, contributing to a more comprehensive understanding of semiconductor behavior under random influences.