Acoustic waves and moisture in a semiconductor thermoelastic medium with double porosity and three-phase lags subjected to the gravitational field

This research delves into the complex interactions of plasma and acoustic wave propagation within a thermoelastic semiconductor material. The semiconductor is characterized by double porosity, indicating two distinct pore structures, and by volume fraction fields that describe the spatial distribution of different phases within the material. The study also considers the influence of moisture diffusion, acknowledging the potential impact of water content on the material's properties and wave behavior. To model the thermoelastic heat conduction within the semiconductor, a three-phase-lag model is employed. This model accounts for the time delays among heat flux, temperature gradient, and thermal displacement gradient, providing a more refined description of heat transfer than simpler models. The analysis relies on harmonic wave solutions, which assume that the waves propagate as sinusoidal functions in space and time. This approach allows for a detailed investigation of the wave characteristics, such as their velocity and attenuation. A key aspect of the study is to highlight the influence of plasma waves on the overall wave propagation phenomena. Plasma waves are collective oscillations of charge carriers within the semiconductor, and their interaction with acoustic waves can significantly affect the material's behavior. The research presents numerical results to illustrate these interactions. The numerical analysis considers two different values for both gravity and time, allowing for an assessment of how these parameters affect the wave propagation. The findings reveal a significant positive correlation between gravity and plasma waves, indicating that stronger gravitational forces enhance the plasma wave activity. Furthermore, the numerical results demonstrate the variations in field quantities, such as temperature, displacement, and stress, within the semiconductor material. These variations provide insights into the spatial distribution of energy and forces associated with the wave propagation. The overall results of the study support existing research in the field, providing further evidence for the complex interplay between plasma waves, acoustic waves, and thermoelastic effects in semiconductor materials.

This graphical abstract illustrates that the thermodynamic response of a semiconductor thermoelastic medium with double porosity was affected by the moisture and the acoustic wave pressure. Central icons depict interacting thermal and microthermal fields. 2D representations on the right highlight the influence of gravity on strain, temperature variation, and stress.