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Upper bounds on the critical temperature for the two-dimensional Blume-Emery-Griffiths model |
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| Authors: | Gastão A. Braga S. J. Ferreira F. C. Sá Barreto |
| Affiliation: | (1) Departamento de Matemática-ICEX-UFMG, Caixa Postal 1621, 30161-970 Belo Horizonte, MG, Brazil;(2) Departamento de Física-ICEX-UFMG, Caixa Postal 702, 30161-970 Belo Horizonte, MG, Brazil |
| Abstract: | We obtain rigorous upper bounds for the critical temperature associated with second-order phase transitions of the two-dimensional spin-1 BEG model for real values ofK andD coupling constants and forJ 0. We use some correlation equalities and inequalities to show the exponential decay of the two-point function characterizing the disordered phase. |
| Keywords: | Classical spin model BEG model phase transitions critical temperature correlation inequalities |
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