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Mixed Phases in Feedback Ising Models
Yi-Ping Ma1, Ivan Sudakow2, P L Krapivsky3,4
1Northumbria University, Department of Mathematics, Physics and Electrical Engineering, Newcastle upon Tyne, NE1 8ST, United Kingdom.
Physical Review Letters
|July 26, 2026
Summary
We identified stable mixed phases (MPs) in feedback Ising models (FIMs) at zero temperature with strong feedback. These superstable MPs offer a framework for understanding phase transformations in multistable systems.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Ising models are fundamental in statistical mechanics for studying magnetism.
- Understanding phase transitions and multistability is crucial in complex systems.
Purpose of the Study:
- To investigate mean-field Ising models with feedback-dependent coupling.
- To identify and characterize novel phases and their stability.
- To explore the dynamics of these models under external fields.
Main Methods:
- Analysis of mean-field Ising models with magnetization-dependent coupling.
- Identification and stability analysis of mixed phases (MPs).
- Investigation of dynamical behavior under varying magnetic fields.
Main Results:
- Mixed phases (MPs) are identified and can be stable at zero temperature with sufficient feedback.
- Stable MPs exhibit superstable behavior, with perturbations decaying linearly.
- Feedback Ising models (FIMs) provide a framework for phase transformations in multistable systems.
Conclusions:
- Feedback mechanisms can stabilize complex phases in Ising models.
- FIMs offer insights into phase transitions and dynamics in systems with multiple stable states.
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