Abstract
An examination of the delocalization of the interface in a three-dimensional simple cubic lattice-gas Ising system as a function of the temperature is made using cluster models formulated in terms of the low-order lattice correlations of the Ising system. By regarding the cluster as a sample from the infinite system, the lattice correlations used in the analysis may be computed in a self-consistent manner by taking the correlations defined for the cluster as estimates of the corresponding correlations for the infinite system: The important result to come from the present analysis is that, provided the cluster properly samples the three-dimensional nature of the infinite system, a comparatively small cluster, while not actually yielding an interface critical temperature, can be made to realize a good representation of the interface delocalization as a function of temperature.
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