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The dynamical response of an Ising ferromagnet to a plane polarised standingmagnetic field wave is modelled and studied here by Monte Carlo simulation intwo dimensions. The amplitude of standing magnetic wave is modulated along thedirection x. We have detected two main dynamical phases namely, pinned andoscillating spin clusters. Depending on the value of field amplitude the systemis found to undergo a phase transition from oscillating spin cluster to pinnedas the system is cooled down. The time averaged magnetisation over a full cycleof magnetic field oscillations is defined as the dynamic order parameter. Thetransition is detected by studying the temperature dependences of the varianceof the dynamic order parameter, the derivative of the dynamic order parameterand the dynamic specific heat. The dependence of the transition temperature onthe magnetic field amplitude and on the wavelength of the magnetic field waveis studied at a single frequency. A comprehensive phase boundary is drawn inthe plane described by the temperature and field amplitude for two differentwavelengths of the magnetic wave. The variation of instantaneous linemagnetisation during a period of magnetic field oscillation for standing wavemode is compared to those for the propagating wave mode. Also the probabilitythat a spin at any site, flips, is calculated. The above mentioned variationsand the probability of spin flip clearly distinguish between the dynamicalphases formed by propagating magnetic wave and by standing magnetic wave in anIsing ferromagnet.

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition