Stochastic analysis and Monte Carlo simulation of magneto–opto–acoustic wave propagation in nonlocal semiconductor excitation

Based on the coupled thermoelasticity theory, this study presents a stochastic analysis of opto-acoustic wave propagation in non-local semiconductor media subjected to magneto-photo-thermal effects. The model incorporates magnetic field influence and non-local elasticity to capture realistic semiconductor behavior. Stochastic thermal fluctuations are introduced through a Wiener process, enabling a probabilistic framework to assess uncertainty in the system response. The governing equations are solved analytically, yielding explicit expressions for the main physical fields, including displacements, stresses, temperature, acoustic pressure, carrier density, and strain. To examine the influence of physical parameters, the effects of the non-local parameter and magnetic field intensity are systematically investigated. In addition, stochastic envelope estimation is conducted using 30 and 500 realizations to evaluate the statistical behavior of physical responses. Results demonstrate that increasing the number of realizations significantly reduces noise and sharpens the approximation of the mean solution. Finally, a heat map is generated for the 500-realization case to visualize the system's spatial distribution and intensity of uncertainty. This work provides valuable insights into the dynamics of semiconductor media under combined magneto-photo-thermal and stochastic excitation, emphasizing acoustic pressure behavior and its interaction with non-local and magnetic effects.