Dynamic phase transitions and compensation behaviors in a mixed spin (1/2,3/2) Ising model on a hexagonal lattice by path probability method

We utilized the mixed spin (1/2, 3/2) Ising system on a hexagonal lattice as a prototypical model to study the dynamic phase transitions (DPTs) that have not been discovered rigorously and the mechanism behind their basic phenomenology is still undeveloped. The DPT studies were done in which a sinusoidal external magnetic field drives the system, and the dynamic equations were obtained within the path probability method. Numerical solutions of the dynamic equations give DPT temperatures and nature (a first- or second-order) of the DPTs. The dynamic phase diagrams were constructed in four different planes and display paramagnetic (p) phase, ferrimagnetic (i) phase, antiferromagnetic (af) phase, and the i + af and i + p mixed or hybrid phases as well as the dynamic tricritical point and dynamic double critical end point, dynamic critical end point and dynamic triple point. Moreover, the reentrant behavior that depended on the system parameters was observed. We also examined the compensation behaviors and found that the system illustrates rich dynamic compensation behaviors.