UPPER-BOUNDS ON THE CRITICAL-TEMPERATURE FOR THE 2-DIMENSIONAL BLUME-EMERY-GRIFFITHS MODEL

Authors
BRAGA GA FERREIRA SJ BARRETO FCS
Citation
Ga. Braga et al., UPPER-BOUNDS ON THE CRITICAL-TEMPERATURE FOR THE 2-DIMENSIONAL BLUME-EMERY-GRIFFITHS MODEL, Journal of statistical physics, 76(3-4), 1994, pp. 819-834
Citations number
39
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
76
Issue
3-4
Year of publication
1994
Pages
819 - 834
Database
ISI
SICI code
0022-4715(1994)76:3-4<819:UOTCFT>2.0.ZU;2-V
Abstract
We obtain rigorous upper bounds for the critical temperature associate d with second-order phase transitions of the two-dimensional spin-1 BE G model for real values of K and D coupling constants and for J greate r-than-or-equal-to 0. We use some correlation equalities and inequalit ies to show the exponential decay of the two-point function characteri zing the disordered phase.