Abstract
LetZ p be the partition function over internal configurational degrees of freedom of ap-particle cluster. The existence of the limit, asp→∞, of (βp)−1 logZ p is demonstrated for the square, triangle, hexagon, simple cubic, face-centered cubic, and body-centered cubic lattice gas models, and for continuous space models with potentials satisfying stability and tempering conditions. Pairwise, finite-range bonding is assumed throughout.
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