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Updated: Jul 10, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 16, 2013
Slow dynamics of ising models with energy barriers
Summary
This study explores three-dimensional Ising models, finding that specific interactions can lead to glassy behavior with slow dynamics. The research suggests domain walls may become tensionless in the glassy phase.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Computational physics
Background:
- Ising models are fundamental in statistical mechanics for studying phase transitions.
- Complex interactions in Ising models can lead to slow dynamics and glassy behavior.
- Understanding glassy dynamics is crucial for materials science and complex systems.
Purpose of the Study:
- To investigate the dynamics of 3D Ising models with multiple interaction types (nearest-, next-nearest-, and four-spin).
- To explore the emergence and characteristics of glassy dynamics in these models.
- To analyze the role of specific interaction parameters and ground state degeneracy on slow dynamics.
Main Methods:
- Monte Carlo simulations were employed to study the dynamics.
- Analysis focused on coarsening, energy barriers, metastability, characteristic length, relaxation times, and aging.
- Simulations explored models with plaquette interactions and the addition of two-spin interactions.
Main Results:
- The plaquette-only model exhibits glass-like features: metastability, weak length increase, stretched-exponential relaxation, and aging.
- Adding two-spin interactions generally disrupts glassy behavior, leading to a loss of metastability.
- A specific interaction regime with degenerate ground states allows slow dynamics to persist up to the melting transition.
Conclusions:
- The four-spin Ising model may exhibit tensionless domain walls at the glassy transition.
- Domain wall tensionlessness is proposed as a characteristic of the glassy phase in these models.
- The study provides insights into the conditions favoring glassy dynamics in complex spin systems.
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