LOW TEMPERATURE PROPERTIES OF THE BLUME–EMERY–GRIFFITHS (BEG) MODEL IN THE REGION WITH AN INFINITE NUMBER OF GROUND STATE CONFIGURATIONS

DOI10.1142/S0129055X00000319zbMath0976.82014OpenAlexW2053234728MaRDI QIDQ4519857

Gastão A. Braga, Michael O'Carroll, Paulo Cupertino Lima

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x00000319

zbMATH Keywords

correlation functionsclassical spin modelpolymer expansionBlume-Emery-Griffiths lattice model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Uniqueness of the Gibbs state of the BEG model in the disordered region of parameters ⋮ The Blume-Emery-Griffiths model on the FAD point and on the AD line ⋮ Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures ⋮ Low temperature analysis of correlation functions of the Blume-Emery-Griffiths model at the antiquadrupolar-disordered interface ⋮ The BEG model in the disordered region and at the antiquadrupolar-disordered line of parameters

Cites Work

• First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
• A unified approach to phase diagrams in field theory and statistical mechanics
• Upper bounds on the critical temperature for the two-dimensional Blume-Emery-Griffiths model
• Phase diagrams of lattice systems with residual entropy.
• Exponential Decay of Truncated Correlation Functions Via the Generating Function: A Direct Method
• The staggered charge-order phase of the extended Hubbard model in the atomic limit

This page was built for publication: LOW TEMPERATURE PROPERTIES OF THE BLUME–EMERY–GRIFFITHS (BEG) MODEL IN THE REGION WITH AN INFINITE NUMBER OF GROUND STATE CONFIGURATIONS