Cluster expansion and generalized transfer matrices for the statistical mechanics of linear chains

Autor: Klein, Douglas J., Welsher, Terry L.
Zdroj: Journal of Statistical Physics; April 1981, Vol. 24 Issue: 4 p555-586, 32p
Abstrakt: 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.
Databáze: Supplemental Index