Some Dynamical Properties of the Ising Ferromagnet. II. Cubic Lattices

Abstract

A method to calculate the dynamical as well as the static properties of the Ising ferromagnet, developed in the previous paper for the two-dimensional square lattice, is extended to cubic lattices. The temperature dependence of the frequency-dependent magnetic susceptibility, approach to equilibrium of the magnetization of the system, the fluctuation-dissipation theorem, and some static properties are calculated. It is proved that all these properties are essentially the same for cubic lattices and for two-dimensional model. It is further demonstrated by explicit calculation that the non-linear effect is very important for the critical slowing-down near the Curie point, especially in the ferromagnetic region.