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Photo-thermoelastic diffusive waves with microconcentration in quantum-modified semiconductors.

Amsawrah M Mohammed1, Eman Ghareeb Rezk2, A H El-Sharif3

  • 1Mathematics Department, School of Basic Sciences, Libyan Academy for Graduate Studies, Ajdabia, Libya.

Plos One
|June 1, 2026
PubMed
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This study analyzes photo-thermoelastic diffusive waves in quantum semiconductors, incorporating microconcentration effects. Findings reveal how quantum transport and microconcentration alter wave propagation and field distribution in these materials.

Area of Science:

  • Solid State Physics
  • Continuum Mechanics
  • Semiconductor Physics

Background:

  • Classical photo-thermoelasticity models lack quantum effects and microconcentration.
  • Semiconductor behavior at small scales requires nonlocal transport considerations.
  • Microconcentration effects represent additional mass transport driven by temperature gradients.

Purpose of the Study:

  • To develop a general one-dimensional model for photo-thermoelastic diffusive wave propagation in quantum-modified semiconductor media.
  • To incorporate coupled dual-transport mechanisms, including quantum-modified carrier diffusion and thermodiffusion with microconcentration.
  • To analyze the impact of these coupled phenomena on wave characteristics and field distributions.

Main Methods:

  • Formulation of governing equations for displacement, temperature, carrier density, and microconcentration within a unified continuum framework.

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  • Reduction of equations to a dimensionless one-dimensional configuration.
  • Analytical solution using Laplace transforms and numerical inversion for time-domain analysis.

    • Main Results:

    • Quantum carrier transport and thermodiffusion significantly modify wave propagation, affecting attenuation, phase, and penetration depth.
    • Microconcentration introduces additional coupling, leading to redistribution of thermal and mechanical fields.
    • The interplay of quantum effects and microconcentration influences the overall behavior of diffusive waves.

    Conclusions:

    • The proposed model provides a comprehensive framework for understanding coupled transport phenomena in semiconductor structures.
    • The findings are relevant for applications in optoelectronic devices, nano-scale thermal management, and laser-driven material systems.
    • This research advances the understanding of wave propagation in advanced semiconductor materials under coupled thermal, mechanical, and quantum influences.