This study systematically examines the dynamic magnetic hysteresis behavior of a mixed-spin (3/2, 7/2) Blume–Capel Ising system on a hexagonal lattice, using the Path Probability Method (PPM). We analyze the effects of temperature, oscillating magnetic field frequency, crystal field and kinetic rate constants on coercive fields (CFs), remanent magnetizations (RMs) and the shape of hysteresis loops. Our results show complex and varied hysteresis behaviors, including single, double, triple and quintuple loops, with a strong dependence on these parameters. Notably, the kinetic rate constant, similar to the cooling rate in rapid solidification, significantly influences loop shape and area, emphasizing PPM’s strength in linking theoretical insights with practical material synthesis.
Alhameri et al. (Tue,) studied this question.