Kinetic phase transitions for the semi-infinite Ising model with bulk S = 1 and a free surface σ=12 under an oscillating magnetic field

The kinetics of the semi-infinite Ising model in the presence of a time dependent oscillating external field is studied within the framework of the mean-field approach. We use the Glauber-type stochastic dynamics to describe the time evolution of this system. We present a variety of phases in semi infinite cubic ferromagnet with spin 1 at the bulk and spin 12at the surface. The obtained Phase diagrams contains surface ordered phase (BP, SF), completely ordered phase (BF, SF) and completely disordered phase (BP, SP) that strongly depend on interaction parameters. The first or second order nature of the transitions is characterized by studying the thermal behaviors of the dynamic magnetizations. Furthermore, the system exhibits dynamical tricritical phenomenon. The magnetizations and phase space trajectories are given and discussed.