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arXiv · 2506.09025

Mixed phases in feedback Ising models

Yi-Ping Ma·Ivan Sudakow·P. L. Krapivsky
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Abstract

We study mean-field Ising models in which the 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, meaning that perturbations decay linearly in time. 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 varying magnetic field and discuss basic properties of finite-dimensional FIMs.

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BibTeXRIS

Yi-Ping Ma, Ivan Sudakow, P. L. Krapivsky. 2025-06-10. Mixed phases in feedback Ising models. https://doi.org/10.1103/3ck1-gzzf

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