Investigation of the dynamic behaviors of mixed spin-1 and spin-2 Ising nanotube system

The dynamic magnetic properties (phase transition temperatures, phase diagrams, order parameters) are studied, within a mean-field approach (MFA) and Glauber type stochastic dynamics, in the kinetic mixed spin-1 and spin-2 Ising nanotube system with core-shell structure under the presence of a time varying (sinusoidal) magnetic field. The time-dependence behavior of order parameters and the behavior of average order parameters in a period, which is also called the dynamic order parameters, as a function of temperature, are investigated. Temperature dependence of the dynamic magnetizations are investigated in order to characterize the nature (first- or second-order) of the dynamic phase transitions as well as to obtain the dynamic phase transition temperatures. We present the dynamic phase diagrams in the magnetic field amplitude and temperature plane. The dynamic magnetic properties of the mixed spin-1 and spin-2 Ising nanotube system are strongly depend on the interaction parameters. The phase diagrams also contain fundamental paramagnetic (p), ferrimagnetic (i) phases, a coexistence or mixed region, i+p, which strongly depend on interaction parameters. The phase diagrams also exhibit first- and second-order phase transitions as well as a dynamic tricritical point.