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Semiconductor materials, which are the aim of this study, are among the most recent advanced materials in the infrared and microwave domains. The reason for focusing on semiconducting elastic materials stems from their abundance in nature and also their numerous benefits in mechanical engineering and cotemporary physics. This work intends to provide a theoretical framework by considering the effects of thermal and electronic elastic deformation in a semiconductor medium during the exciting thermo-photovoltaic process. To this end, a modified photothermal model, in which the heat conduction is represented by the Moore–Gibson–Thompson (MGT) equation, is established by incorporating a relaxation parameter into the Green–Naghdi type III concept. The proposed model is used to investigate the interactions between plasma, thermal and elastic processes through a solid sphere of semiconductor material subject to a thermal shock in conjunction with an external magnetic field. The influence of thermal and carrier lifetime parameters on different physical properties of silicon material is graphically illustrated using theoretical simulated results by employing the Laplace technique. [ABSTRACT FROM AUTHOR]

Thermal and mass diffusion processes are important issues in a variety of engineering applications and scientific disciplines. The main objective of this research is to develop a new model that demonstrates diffusion in thermoelastic solids and compares the strain/temperature fields and mass diffusion. The proposed model is an extension of the Quintanilla model [1]. In the new model, Fourier's and Fick's laws have been improved by including the relaxation times in the Green–Naghdi theory in the framework of Moore–Gibson–Thompson (MGT) heat equation. Based on the introduced model, a one-dimensional half-space problem is considered. The surface surrounding the half-space is exposed to chemical potential and thermal shocks. Our findings indicate that the considered physical fields have a non-zero value only in a limited area and disappear outside this area. This result fully demonstrates the validity of the proposed model because the nature of velocities is limited by heat and diffusive waves. [ABSTRACT FROM AUTHOR]