Dynamic phase transition and hysteresis dispersion law of the kinetic Ising model with next-nearest neighbor interaction

Abstract

We study the effects of next-nearest neighbor (NNN) interaction on the dynamic phase transition (DPT) and hysteresis loop area law in the two-dimensional ferromagnetic kinetic Ising model. We find that inclusion of the NNN interaction causes the DPT boundary of the NN kinetic Ising model to shift to larger values of magnetic field and temperature. The NNN kinetic Ising model can therefore exhibit an interaction induced DPT. Also in the low frequency limit (f$\to$0) the hysteresis loop area law, A(h$_{o}$,f), changes from h$^{0.70}_{o}$f$^{0.36}$ (NN) to h$^{0.14\pm 0.01}_{o}$f$^{0.13\pm0.01}$ (NNN) where h$_o$ is the external field amplitude and f is the frequency. DPT and hysteresis in the kinetic Ising model arises as a competition between the system's metastable lifetime and the time period of the external field. Including the NNN interaction changes the system's metastable lifetime. This causes the DPT and the hysteretic properties to change. We conclude that the systems metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature but also to additional interactions present in the system. Furthermore by tracking the probability density P(Q) of the dynamic order parameter Q we conclude that the DPT is of second order.