HIGH-TEMPERATURE EXPANSIONS FOR CLASSICAL SPIN MODELS .2. THE SQUARE AND HYPERCUBIC LATTICES AND THE POTTS-MODEL

Authors
MORAAL H
Citation
H. Moraal, HIGH-TEMPERATURE EXPANSIONS FOR CLASSICAL SPIN MODELS .2. THE SQUARE AND HYPERCUBIC LATTICES AND THE POTTS-MODEL, Physica. A, 197(3), 1993, pp. 457-468
Citations number
10
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
197
Issue
3
Year of publication
1993
Pages
457 - 468
Database
ISI
SICI code
0378-4371(1993)197:3<457:HEFCSM>2.0.ZU;2-Z
Abstract
All graphs and their contributions needed for a high-temperature expan sion of the partition function of a completely permissible spin model up to order 16 for the square lattice and up to order 11 for the hyper cubic lattice are listed. For the Potts model, the corresponding serie s are derived and analyzed by means of Pade approximants. In the squar e lattice case, the phase transition of the M-state Potts model is rep roduced to within 1 % for M > 2.