Hysteresis effects in the critical behavior of Heisenberg thin films in an external oscillating field

In this work, we simulated hysteresis effects in thin Heisenberg films subjected to an external oscillating field by Monte Carlo methods. It was observed that the system exhibits different types of phase transitions below the Curie temperature, depending on the rate of field influence. Relaxation features of the system have been identified, which may also impact the nature of the dynamic phase transition.