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The dynamical responses of ferromagnet to the propagating electromagneticfield wave passing through it are modelled and studied here by Monte Carlosimulation in two dimensional Ising ferromagnet. Here, the electromagnetic waveis linearly polarised in such a way that the direction of magnetic field isparallel to that of the magnetic momemts (spins). The coherent propagating modeof spin-clusters is observed. The time average magnetisation over the fullcycle (time) of the field defines the order parameter of the dynamictransition. Depending on the value of the temperature and the amplitude of thepropagating magnetic field wave, a dynamical phase transition is observed. Thedynamic transition was detected by studying the temperature dependences of thedynamic order parameter, the variance of the dynamic order parameter, thederivative of the dynamic order parameter and the dynamic specific heat. Thephase boundaries of the dynamic transitions were drawn for two different valuesof the wave lengths of the propagating magnetic field wave. The phase boundarywas observed to shrink (inward) for lower speed of propagation of the EM wave.The divergence of the releavant length scale was observed at the transitionpoint.

Polarised Electromagnetic wave propagation through the ferromagnet: Phase boundary of dynamic phase transition