Dynamic Magnetic Hysteresis in Molecular-Based Magnetic Systems (III): Application of the Path Probability Method to the Mixed-Spin (3, 7/2) Blume-Capel Ising Model

<jats:p>This study investigates the dynamic hysteresis properties of a mixed-spin (3, 7/2) Blume-Capel Ising system (BCIS) on a square lattice, utilizing the Path Probability Method (PPM) under a time-dependent external magnetic field. The research highlights the critical role of external conditions and intrinsic material parameters in defining the hysteresis characteristics, including coercive fields and remanent magnetization. Unlike previous studies, which either ignored or applied a constant magnetic field, our approach incorporates a sinusoidal magnetic field, enabling a comprehensive analysis of the kinetic magnetic properties. The results demonstrate significant variations in the dynamic magnetic response, revealing insights into temperature dependency, oscillation frequency, and rate constants, thus contributing to a better understanding of molecular-based magnetic materials.</jats:p>