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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
Feedback Ising models exhibit stable mixed phases (MPs) at zero temperature with strong feedback, offering insights into phase transformations. These superstable MPs show linear perturbation decay, useful for multistable systems.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Ising models are fundamental for understanding magnetism and phase transitions.
- Feedback mechanisms can significantly alter system dynamics and phase behavior.
Purpose of the Study:
- To investigate mean-field Ising models with feedback-dependent coupling.
- To identify and characterize mixed phases (MPs) and their stability.
- To explore the dynamical behavior 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) can be stable at zero temperature with sufficient feedback.
- Stable MPs are superstable, exhibiting linear decay of perturbations.
- Feedback Ising models (FIMs) facilitate phase transformations in multistable systems.
Conclusions:
- FIMs offer a robust framework for studying complex phase transitions.
- Superstability of MPs is a key characteristic in these feedback-driven systems.
- The study provides insights into the dynamics of FIMs with external driving.
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