Mixed phases in feedback Ising models
arXiv:2506.09025 · doi:10.1103/3ck1-gzzf
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.
8 pages, 4 figures; accepted version at Physical Review Letters; the Supplemental Material is available at https://journals.aps.org/prl/supplemental/10.1103/3ck1-gzzf/PRL_FIM_SM_final.pdf