Wave propagation in magneto-photothermal hydro-poroelastic semiconductors with microtemperature-dependent thermal effects

This study presents a theoretical investigation of magneto-photothermal wave propagation in hydro-poroelastic semiconductor media incorporating microtemperature effects and temperature-dependent thermal conductivity. The proposed model simultaneously accounts for photothermal excitation, pore-fluid interaction, microtemperature relaxation, magnetic field coupling, and decay heat effects within a unified multiphysics framework. The governing equations are derived using generalized thermoelasticity theory and include carrier diffusion, Darcy-type pore-pressure dynamics, and Lorentz-force electromagnetic coupling. To address the nonlinear, temperature-dependent conductivity, the Kirchhoff transformation is employed, and the resulting coupled equations are solved analytically using normal mode analysis. Numerical simulations for porous silicon illustrate the influence of variable thermal conductivity, decay heat generation, and magnetic field strength on the distributions of temperature, displacement, stresses, microtemperature, carrier density, and pore pressure. The results reveal that temperature-dependent conductivity enhances thermal diffusion and significantly weakens thermoelastic coupling, while magnetic fields introduce Lorentz-force damping that suppresses mechanical oscillations and carrier transport. In addition, decay heat acts as a sustained internal energy source, prolonging thermal relaxation and modifying pore-fluid pressure dynamics. The present model generalizes several existing thermoelastic and photothermal semiconductor formulations and provides new insights into coupled thermo-hydro-electromagnetic wave propagation. These findings are relevant for the design and optimization of porous semiconductor devices operating under laser irradiation, magnetic control, and coupled thermal–mechanical environments.