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

Butera, P.; Comi, M.

doi:10.1023/A:1019995830014

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

P. Butera
(
- Milan Bicocca U. and
- INFN, Milan
)
,
M. Comi
(
- Milan Bicocca U. and
- INFN, Milan
)

Oct, 2001

54 pages

Published in:

J.Statist.Phys. 109 (2002) 311-315

e-Print:

hep-lat/0204007 [hep-lat]

DOI:

10.1023/A:1019995830014

Report number:

BICOCCA-FT-01-27,
BICOCCA-FT-01-27-(OCTOBER-2001)

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Abstract: (arXiv)

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.

Note:

54 pages, revtex, no figures

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