Abstract
Some features of the canonical partition function for the spherical model of a lattice gas are given. The equation of state is obtained for all densities and temperatures, and predicts that the pressure remains constant in the transition region. The particle correlations and fluctuations are calculated, and their behavior in this region is shown to be consistent with a phase transition. A physical interpretation of the normal modes of the spherical model indicates that the model contains the general aspects of clustering of particles. The origin of an anomalous behavior of the model, consisting of the pressure becoming negative for all temperatures at sufficiently large specific volumes, is described and a method for eliminating it is introduced. (auth)
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