Determination of Weight Factors in Linked-Cluster Expansions for Lattice Systems

Publisher Website
Google Scholar
Abstract
In a previous paper, it was shown that any function φ(G), defined for a general linear graph G and having the extensive property, can be expanded in terms of the lattice constants of connected subgraphs of G. In this paper, a graphical interpretation of the weight factors occurring in this expansion is given. The usefulness of the expansion in deriving series expansions for properties associated with crystal lattices is discussed with particular reference to percolation problems, dilute ferromagnets, and lattice gases. A result in the theory of linear graphs, recently proved by Rushbrooke in a paper concerned with dilute ferromagnets, is rederived.

This publication has 10 references indexed in Scilit: