Effective-field and Monte Carlo studies of a kinetic Blume-Capel model

It has been well established that the spin-1 Blume-Capel (BC) model in a time-dependent oscillating external field and a crystal field interaction exhibits a rich variety of topology in nonequilibrium dynamic phase diagrams. Some interesting dynamic behaviors, quite different from the standard Ising model, have been observed. However, there are some disagreements among these theoretical studies. Here we use the effective-field theory (EFT) and the Monte Carlo method (MC) to show that the dissimilarity among the mean-field theory and EFT results is due to the neglect of thermal fluctuations. The effects of thermal fluctuations on the dynamic phase boundary and the dynamic tricritical point are investigated. The MC method is then carried out to confirm if the reentrant phenomenon obtained by the EFT is correct or not. The dynamic phase diagram of the kinetic BC model given by the MC method is also plotted.