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Stable solution of the simplest spin model for inverse freezing
1Department of Physics, University of Rome, La Sapienza, Piazzale A. Moro 2, 00185, Rome, Italy.
Physical Review Letters
|October 4, 2005
Summary
This study investigates the Blume-Emery-Griffiths-Capel model, revealing inverse freezing phenomena. Comparisons highlight how disorder and generalized spin variables influence reentrant and amorphous phase transitions.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The Blume-Emery-Griffiths-Capel (BEG) model is a spin-1 model used to study phase transitions.
- Disordered interactions can lead to complex phenomena like inverse freezing.
Purpose of the Study:
- To analyze the BEG model with disordered interactions, focusing on the inverse freezing phenomenon.
- To compute phase transition lines using the full replica symmetry breaking ansatz.
Main Methods:
- Analysis of the spin-1 BEG model under crystal field.
- Computation of transition lines via the full replica symmetry breaking ansatz.
- Comparative analysis with Ising spin lattice gas and generalized spin variable models.
Main Results:
- The disordered BEG model exhibits inverse freezing.
- Phase diagram and transition lines were computed.
- Comparisons show varying degrees of reentrance based on model formulations.
Conclusions:
- The simplest Ghatak-Sherrington model captures key features of inverse transitions to amorphous phases.
- Disorder and generalized spin variables significantly impact reentrant behavior.