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Glassy behavior in an exactly solved spin system with a ferromagnetic transition
Robert L Jack1, Juan P Garrahan, David Sherrington
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Summary
Simple dynamical rules applied to Baxter's eight-vertex model create a glass-forming liquid. This model exhibits dynamical heterogeneity and aging, offering insights into liquid and glassy states.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Computational Physics
Background:
- Glass-forming liquids exhibit complex dynamics and disordered states.
- Baxter's eight-vertex model is a fundamental model in statistical mechanics.
Purpose of the Study:
- To investigate the emergence of glass-like behavior in a simplified model.
- To analyze the dynamical properties and phase transitions within this system.
Main Methods:
- Application of simple dynamical rules to Baxter's eight-vertex model.
- Analysis of disordered phases, dynamical heterogeneity, and aging phenomena.
- Interpretation of thermodynamic transitions using an emergent mobility field.
Main Results:
- The model successfully reproduces characteristics of glass-forming liquids, including dynamical heterogeneity at low temperatures.
- An emergent mobility field effectively describes the system's dynamics and the confinement of excitations.
- Aging of disordered states towards an ordered phase was observed and modeled.
Conclusions:
- Simple dynamical rules can lead to complex emergent behavior, mimicking glass-forming liquids.
- The study provides a framework for understanding glassy dynamics through kinetic constraints and mobility fields.
- The findings offer new perspectives on phase transitions and aging in disordered systems.