Dynamic phase transitions in the kinetic Ising model on the Bethe lattice

The stationary states of the kinetic Ising model described by the Glauber stochastic dynamics subject to a time-dependent oscillating external magnetic field was analyzed in detail on the Bethe lattice in terms of the recursion relation. The dynamic order parameter, the hysteresis loop area, and the dynamic correlation are calculated. It was found that the magnetization oscillates around nonzero values at low temperatures for the ferromagnetic phase while it only oscillates around zero values at high temperatures for the paramagnetic phase for appropriate values of the oscillating external magnetic field. The dynamic phase diagrams of the system are obtained for the given coordination numbers q=4 and 6. In addition to the second- and first-order phase transitions, the dynamical tricritical points are also observed.