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Zeroth-order phase transition in the Blume-Emery-Griffiths model without bilinear exchange coupling
1School of Physics, Southeast University, Nanjing 211189, China.
Physical Review. E
|September 16, 2021
Summary
The simplified Blume-Emery-Griffiths model shows a zeroth-order phase transition in the microcanonical ensemble, but not in the canonical ensemble. This difference highlights the inequivalence between statistical mechanics ensembles.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The Blume-Emery-Griffiths model is a key model for studying phase transitions.
- Understanding ensemble inequivalence is crucial for accurately describing physical systems.
Purpose of the Study:
- To investigate the simplified Blume-Emery-Griffiths model without bilinear exchange coupling.
- To compare the model's behavior in the microcanonical and canonical ensembles.
- To analyze the occurrence of zeroth-order phase transitions and entropy jumps.
Main Methods:
- Simulations were performed in both the microcanonical and canonical ensembles.
- The study focused on identifying phase transitions and analyzing thermodynamic properties.
Main Results:
- A zeroth-order phase transition with a finite entropy jump was observed in the microcanonical ensemble.
- This entropy singularity was absent in the canonical ensemble, demonstrating ensemble inequivalence.
- Global phase diagrams were successfully constructed for both ensembles.
Conclusions:
- The simplified Blume-Emery-Griffiths model exhibits distinct behaviors in different statistical ensembles.
- Ensemble inequivalence is a significant factor in the model's phase transition characteristics.
- The findings provide insights into the fundamental differences between microcanonical and canonical descriptions.
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