High-temperature cutoff approximation of the 3D kinetic Ising model

A single-spin transition critical dynamics is used to investigate the three -dimensional kinetic Ising model on an anisotropic cubic lattice. We first derive the fundamental dynamical equations, and then linearize them by a cu toff approximation. We obtain the approximate solutions of the local magnet ization and equal-time pair correlation function in zero field. In which th e axial-decoupling terms gamma (1)gamma (2), gamma (2)gamma (3) and gamma ( 1)gamma (3) as higher infinitesimal quantity are ignored, where gamma (alph a) = tanh(2k(alpha)) = tanh(2J(alpha)/k(beta)T) (alpha = 1, 2, 3). We think that it is reasonable as the temperature of the system is very high. The r esult of what we obtain in this paper can go back,to the one-dimensional Gl auber's theory as long as k(2) = k(3) = 0.