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12:37
Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
Published on: September 4, 2015
First-order phase transition and phase coexistence in a spin-glass model
1Dipartimento di Fisica, Università di Roma, La Sapienza and INFM unità di Roma I, Piazzale A. Moro 2, 00186, Rome, Italy.
Physical Review Letters
|December 18, 2002
Summary
We investigated the Blume-Emery-Griffiths-Capel model with quenched disorder. A phase transition to a spin-glass phase occurs, which can be first or second order, featuring latent heat and phase coexistence.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The Blume-Emery-Griffiths-Capel (BEG) model is a fundamental model for studying phase transitions in magnetic systems.
- Quenched disorder introduces randomness, significantly altering the thermodynamic behavior of such models.
Purpose of the Study:
- To analyze the mean-field static solution of the BEG model with quenched disorder.
- To characterize the thermodynamic phases and transitions within this disordered system.
Main Methods:
- Application of the full replica symmetry breaking scheme.
- Thermodynamic analysis of the Ising-spin lattice gas with random magnetic interactions.
Main Results:
- Identification of a high-temperature/low-density paramagnetic phase.
- Observation of a phase transition to a spin-glass phase upon decreasing temperature or increasing density.
- Characterization of the transition as either second-order or first-order (Ehrenfest sense) below a critical temperature, marked by discontinuous order parameter jumps, latent heat, and phase coexistence.
Conclusions:
- The quenched disorder in the BEG model leads to complex thermodynamic behavior, including a spin-glass phase.
- The nature of the phase transition is sensitive to temperature and density, exhibiting characteristics of both first and second-order transitions.
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