Dynamic behavior of the mixed spin-1 and spin-5/2 ising system

The magnetic properties of the mixed spin-1 and spin-5/2 Ising system with a crystal-field interaction in the presence of a time-varying oscillating external magnetic field on a hexagonal lattice are studied by using the Glauber-type stochastic dynamics. The mean-field dynamic equations are obtained by employing the Master equation. These equations are solved and firstly, the time variations of the average sublattice magnetizations are investigated in order to find the phases in the system. Then, the dynamic sublattice magnetizations and the dynamic total magnetization are investigated as function of the temperature to found the dynamic phase transition points and the dynamic compensation temperature, respectively. From these investigations, the nature (continuous and discontinuous) of the phase transitions and the type of the compensation behavior are determined. The dynamic phase diagrams are presented for both presence and absence of the dynamic compensation temperatures in the nine different planes. It was found that the system exhibits five fundamental phases, nine different mixed phases which are composed of binary and ternary combination of fundamental phases and the compensation temperature or the N-type behavior.