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Effect of next-nearest neighbor interactions on the dynamic order parameter of the Kinetic Ising model in an oscillating field

We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the nearest-neighbor (NN) interaction (JNN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.