Abstract
A cluster expansion of the statistical mechanical density operator for a general linear chain model with nearest-neighbor interactions is made. This expansion is then shown to lead to an expansion of a generalized transfer matrix, whose maximum eigenvalue is the per-site partition function. A number of computational features, as well as some illustrative examples, of this approach are described.
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Research supported in part by the Robert A. Welch Foundation, Houston, Texas.
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Klein, D.J., Welsher, T.L. Cluster expansion and generalized transfer matrices for the statistical mechanics of linear chains. J Stat Phys 24, 555–586 (1981). https://doi.org/10.1007/BF01011375
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DOI: https://doi.org/10.1007/BF01011375