The Blume-Emery-Griffiths Spin Glass Model
Mauro Sellitto, Mario Nicodemi, Jeferson J. Arenzon

TL;DR
This paper investigates the equilibrium behavior and phase diagram of the Blume-Emery-Griffiths spin glass model with disorder, considering both attractive and repulsive biquadratic interactions using mean field theory.
Contribution
It provides a comprehensive analysis of the phase diagram of the disordered Blume-Emery-Griffiths model within the replica symmetric mean field framework, including biquadratic interactions.
Findings
Calculated the global phase diagram for the model.
Analyzed effects of both attractive and repulsive biquadratic interactions.
Identified different phases and transition behaviors.
Abstract
We study the equilibrium properties of the Blume-Emery-Griffiths model with bilinear quenched disorder in the case of attractive as well as repulsive biquadratic interactions. The global phase diagram of the system is calculated in the context of the replica symmetric mean field approximation.
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