Investigation of the dynamic behaviors of mixed spin-1 and spin-2 ising nanowire system

The magnetic nanowires which are one of the most important research topics in both statistical mechanics and material science is widely used in the crucial areas due to the potential technological applications. Although there have been many studies on the equilibrium magnetic features of varied types of the magnetic nanowires, the studies on the out-of-equilibrium magnetic properties are limited. At the same time, mixed-spin type nanostructures also contain more interesting properties than single-spin nanostructures and exhibit many novel properties in these systems, which cannot be observed in the single-spin Ising model. Therefore, it is also being studied for various methods with different spin mixing. Hence, the mean field theory based on Glauber type stochastic dynamics is utilized to investigate the out-of-equilibrium magnetic behaviors of the ferrimagnetic mixed spin (1, 2) hexagonal Ising nanowire with core-shell structure in the presence of an oscillating magnetic field. We study numerically the non-equilibrium magnetic properties (the dynamic phase transitions, phase diagrams) of the system. The dynamic mean-field equations are derived from the Glauber dynamics intertwined with the mean-field theory. The time varying average core and shell magnetizations are investigated to discover the phases of the system. The temperature variation of the dynamic order parameters is figured out for the purpose of qualifying the nature of the dynamic phase transitions, and getting the dynamic phase transition temperatures. Finally, the dynamic phase diagrams (DPDs) of the system are depicted in the plane of the oscillating magnetic field versus temperature, which exist three fundamental and one mixed phases. The DPDs also display some dynamic special features such as the dynamic tricritical point, which powerfully hinge on the Hamiltonian terms