Effective-field theory with the differential operator technique for a kinetic Blume-Capel model with random diluted single-ion anisotropy

We present the dynamical phase diagrams of the kinetic Blume-Capel model with random diluted single-ion anisotropy in a square lattice under the presence of a time-varying (oscillating) external magnetic field calculated by an analytical method, the effective-field theory (EFT). The kinetics is modeled with the formalism of a master equation. The time-averaged magnetization (M) acts as the order parameter and divides the temperature-field plane into three regions: ferromagnetic, paramagnetic, and coexistence of ferromagnetic and paramagnetic phases. In addition, the hysteresis loop area and the dynamic correlation function are calculated. It is observed that the inclusion of spin-spin correlations suppress the first-order transition lines and dynamical tricritical points for all values of the crystal-field concentration. (c) 2012 Elsevier B.V. All rights reserved.