POLARISED ELECTROMAGNETIC WAVE PROPAGATION THROUGH THE FERROMAGNET: PHASE BOUNDARY OF DYNAMIC PHASE TRANSITION

The dynamical responses of ferromagnet to the propagating electromagnetic field wave passing through it are modelled and studied here by Monte Carlo simulation in the two-dimensional Ising model. Here, the electromagnetic wave is linearly polarised in such a way that the direction of magnetic field is parallel to that of the magnetic spins. The coherent spin-cluster propagating mode is observed. The time average magnetisation over the full cycle (time) of the field defines the order parameter of the dynamic phase transition. Depending on the value of the temperature and the amplitude of the propagating magnetic field wave, a dynamical phase transition is observed. The transition is detected by studying the temperature dependences of the variance of the dynamic order parameter, the derivative of the dynamic order parameter and the dynamic specific heat. The phase boundary of the dynamic transitions are drawn for two different values of the wave length of the propagating magnetic field wave. The phase boundary is observed to shrink (inward) for shorter wavelength of the EM wave. The signature of the divergence of the relevant length scale is observed at the transition point.