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Updated: Apr 15, 2026
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Slicing the three-dimensional Ising model: Critical equilibrium and coarsening dynamics
Jeferson J Arenzon1, Leticia F Cugliandolo2, Marco Picco2
1Instituto de Física, Universidade Federal do Rio Grande do Sul, C.P. 15051, 91501-970 Porto Alegre, RS, Brazil.
Summary
Spin clusters in the 3D Ising model shrink linearly over time after a temperature quench. The rate of this coarsening process depends on temperature and initial configurations.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The Ising model is a fundamental tool for studying magnetism and phase transitions.
- Understanding spin cluster dynamics is crucial for comprehending coarsening phenomena.
Purpose of the Study:
- To investigate the evolution of spin clusters in 2D slices of the 3D Ising model after a temperature quench.
- To analyze the relationship between initial configurations, temperature, and the rate of cluster area decay.
Main Methods:
- Simulating the 3D Ising model on 2D slices in contact with a heat bath.
- Analyzing simple initial states (sphere, torus) and generic equilibrium configurations.
- Comparing 2D slice behavior with the 2D Ising model.
Main Results:
- Spin cluster area decreases linearly with time for simple initial states.
- The temperature dependence of the prefactor for area decay was determined.
- Morphological domain structures were investigated for different initial states.
Conclusions:
- The study confirms linear area decay for spin clusters in 2D slices of the 3D Ising model.
- Results provide insights into coarsening dynamics and their temperature dependence.
- Comparison with the 2D Ising model highlights differences in behavior.
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