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Updated: Jul 25, 2026
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Published on: December 4, 2017
Glassiness and constrained dynamics of a short-range nondisordered spin model
1Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Summary
This study reveals glassiness in a simple spin system without disorder, demonstrating hierarchically constrained dynamics. Exact results clarify the link between fluctuations, response, and configurational entropy.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Investigates low-temperature dynamics in a two-dimensional short-range spin system with uniform ferromagnetic interactions.
- Explores the emergence of glassiness despite the absence of disorder or frustration.
Purpose of the Study:
- To provide an explicit realization of the "hierarchically constrained dynamics" scenario for glassy systems.
- To analyze the relationship between fluctuations, response, and configurational entropy.
Main Methods:
- Exact analytical results for the model's static properties.
- Detailed study of one-time and two-time dynamical quantities.
- Investigation of the role of exactly computable configurational entropy.
Main Results:
- The system exhibits glassiness at low temperatures, characterized by hierarchically constrained dynamics.
- Exact solutions are derived for static properties.
- Dynamical behavior and the influence of configurational entropy on fluctuations and response are elucidated.
Conclusions:
- The model serves as a key example of hierarchically constrained dynamics in glassy systems.
- Exact results provide fundamental insights into the statistical mechanics of disordered-free glassy behavior.
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