Journal of Statistical Physics, Vol. 36, Nos. 3/4, 1984, p. 435-446.
Let Z_p be the partition function over internal configurational degrees of freedom of a p-particle cluster. The existence of the limit, as p -> oo, of (beta*p)^(-1)log(Z_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.