A spatio-temporal nonlocal magneto-photothermal model incorporating rotation and dual phase-lag effects in semiconductor solids

This study introduces a pioneering spatio-temporal nonlocal dual phase-lag (DPL) photothermal model to investigate the behavior of rotating semiconductor materials under the combined influence of heat transfer balance and magnetic fields at the nanoscale. Unlike traditional models, which often neglect nonlocal interactions, rotational dynamics, and magnetic fields, this research integrates these critical factors. The model employs Klein–Gordon-type nonlocal elasticity theory to account for internal length and time scales, capturing small-scale effects and long-range forces. The DPL framework describes the complex interplay of elastic, plasma, and thermal waves, incorporating rotational and magnetic effects. Normal mode analysis demonstrates that nonlocality, rotation, magnetic fields, and phase lags significantly influence photothermal wave propagation and optical excitations in semiconductors. The findings highlight the pivotal role of heat transfer balance in shaping these interactions, providing valuable insights into coupled thermal-mechanical-electromagnetic responses. This model offers practical applications for optimizing nanoscale devices in optoelectronics, MEMS, and thermal management. A deeper understanding of photothermal interactions under rotational and magnetic influences is crucial for enhancing device performance and reliability, paving the way for future exploration of advanced materials and multifunctional nanostructures.