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<p>This study investigates the stochastic propagation of thermoelastic waves in a photothermally excited semiconducting medium under the influence of a magnetic field and variable electrical conductivity. A two-temperature generalized thermoelastic model is employed to account for both conductive and thermodynamic temperatures, enhancing the accuracy of thermal wave predictions. The Laplace transform techniques are used to derive analytical expressions for displacement, stress, temperature, and carrier density. Stochastic effects are incorporated through random boundary conditions and white noise excitation, transforming the deterministic model into a probabilistic framework. The influence of magnetic fields and conductivity variations is examined, revealing their significant impact on wave dispersion, energy dissipation, and stochastic variance of physical fields. Numerical simulations using silicon parameters confirm that increased conductivity and magnetic intensity suppress wave amplitudes and sharpen gradients. These findings provide critical insights for the design of optoelectronic and magneto-thermoelastic devices subjected to rapid photothermal excitation.</p>

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Photothermal wave propagation in a stochastic two-temperature magneto-electro conductive medium

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • E. S. Elidy,
  • Abdelaala Ahmed,
  • Shreen El-Sapa,
  • Alaa A. El-Bary,
  • Khaled Lotfy

摘要

This study investigates the stochastic propagation of thermoelastic waves in a photothermally excited semiconducting medium under the influence of a magnetic field and variable electrical conductivity. A two-temperature generalized thermoelastic model is employed to account for both conductive and thermodynamic temperatures, enhancing the accuracy of thermal wave predictions. The Laplace transform techniques are used to derive analytical expressions for displacement, stress, temperature, and carrier density. Stochastic effects are incorporated through random boundary conditions and white noise excitation, transforming the deterministic model into a probabilistic framework. The influence of magnetic fields and conductivity variations is examined, revealing their significant impact on wave dispersion, energy dissipation, and stochastic variance of physical fields. Numerical simulations using silicon parameters confirm that increased conductivity and magnetic intensity suppress wave amplitudes and sharpen gradients. These findings provide critical insights for the design of optoelectronic and magneto-thermoelastic devices subjected to rapid photothermal excitation.