A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices

Abstract

We present an on-line library of unprecedented extension for high-temperature expansions of basic observables in the Ising models of general spin S, with nearest-neighbor interactions. We have tabulated through order beta^{25} the series for the nearest-neighbor correlation function, the susceptibility and the second correlation moment in two dimensions on the square lattice, and, in three dimensions, on the simple-cubic and the body-centered cubic lattices. The expansion of the second field derivative of the susceptibility is also tabulated through beta^{23} for the same lattices. We have thus added several terms (from four up to thirteen) to the series already published for spin S=1/2,1,3/2,2,5/2,3,7/2,4,5,infinity.

Comments: 54 pages, revtex, no figures