Kinetics of the order-disorder transition of the two-dimensional anisotropic next-nearest-neighbor Ising model

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Abstract
The development of a modulated (2,2) antiphase ordering in the two-dimensional anisotropic next-nearest-neighbor Ising model is studied following a quench from the disordered phase to a low-temperature unstable state. The domain growth and the dynamical structure factor are found to evolve anisotropically. The structure factor is shown to satisfy scaling for a variety of choices of a length scale. The growth laws for different definitions of length scale are shown to be most consistent with an effective power-law exponent of n≃0.50. The dynamical roles of different types of domain walls and vertices present in this model are discussed, with an emphasis placed on the need for theoretical studies of this model.