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Nonequilibrium behavior and dynamic phase transition properties of a kineticIsing model under the influence of periodically oscillating random-fields havebeen analyzed within the framework of effective field theory (EFT) based on adecoupling approximation (DA). Dynamic equation of motion has been solved for asimple cubic lattice ($q=6$) by utilizing a Glauber type stochastic process.Amplitude of the sinusoidally oscillating magnetic field is randomlydistributed on the lattice sites according to bimodal and trimodal distributionfunctions. For a bimodal type of amplitude distribution, it is found in thehigh frequency regime that the dynamic phase diagrams of the system intemperature versus field amplitude plane resemble the corresponding phasediagrams of pure kinetic Ising model. Our numerical results indicate that for abimodal distribution, both in the low and high frequency regimes, the dynamicphase diagrams always exhibit a coexistence region in which the stationarystate (ferro or para) of the system is completely dependent on the initialconditions whereas for a trimodal distribution, coexistence region disappearsdepending on the values of system parameters.

physical review. e, statistical, nonlinear and soft matter physics

Nonequilibrium phase transitions and stationary state solutions of a  three-dimensional random-field Ising model under a time dependent periodic  external field