Analytically Study Of Kinetic Ising Model Within An Effective-field Theory With Correlations

Recently, there have been extensive research focused on kinetic Ising model, which driven by an oscillating magnetic field. This phenomenon exists widely in magnetic systems, and has been arousing great interest for its intriguing physics. The theoretical studies can be divided into two classes:(1) the mean-field theory (MFT) studies by solving the dynamic mean-field equation. But in the static limit, the dynamic transition will also be observed in the case of mean-field study, because of neglecting thermal fluctuations. (2) the Monte Carlo simulation (MC) studies the kinetic Ising model, where the effects of fluctuations are taken into account. The result of MC simulation is more precise, but it depends on the system's size and it will take more time to simulate the system.In this paper we introduce another analytical method, where the effects of thermal fluctuations are taken into account, to study the kinetic Ising model. The effective-field equations of motion of the average magnetization are given for the honeycomb lattice (Z=3), the square lattice (Z=4) and the simple cubic lattice (Z=6), respectively. The dynamic order parameter, the dynamic correlation and the hysteresis loop area are calculated. In the field amplitude h0 -temperature T plane, the phase boundary separating the dynamic ordered and the disordered phase has been drawn, and the dynamical tricritical point has been observed. We also make the compare our results with that given by using the mean field theory and the Monte Carlo simulation.