Mixed phases in feedback Ising models
Statistical Mechanics
2025-06-11 v1 Dynamical Systems
Abstract
We study mean-field Ising models whose coupling depends on the magnetization via a feedback function. We identify mixed phases (MPs) and show that they can be stable at zero temperature for sufficiently strong feedback. Moreover, stable MPs are always super-stable with perturbation decaying linearly in time. We argue that such feedback Ising models (FIMs) provide a useful framework for phase transformations between aligned phases via stable and unstable intermediate phases in multistable systems. We also analyze the dynamical behavior of FIMs driven by a time-varying magnetic field.
Cite
@article{arxiv.2506.09025,
title = {Mixed phases in feedback Ising models},
author = {Yi-Ping Ma and Ivan Sudakow and P. L. Krapivsky},
journal= {arXiv preprint arXiv:2506.09025},
year = {2025}
}
Comments
7 pages, 3 figures