In this article, a novel model of the magneto-thermoelasticity theory is introduced in the context of the photothermal transport process. The chemical action and initial stress (IS) have been used to describe the mass diffusion during the magneto-photothermal diffusion (MPD) theory. The basic idea depends on the study on the coupling between plasma waves (which describe the quasi-particles of materials), the elastic waves (which describe the change of strains) and the thermal waves (which describe temperature fields). The study focuses on the impact of the chemical potential through the diffusive material concentration process of the circular plate. The one-dimensional Laplace transform is used to obtain the main physical fields under investigation. The mechanical-thermal-strain-plasma loads are applied on the cylindrical surface to determine the exact solution of physical fields. The Laplace transformation inversion is used numerically based on the Fourier expansion method. Physical quantities of silicon (which is an example of a polymer nanocomposite semiconductor) are numerically calculated and graphically presented and theoretically discussed. Some comparisons are made to illustrate the results.