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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.09025 |
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| _version_ | 1866916788565966848 |
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| author | Ma, Yi-Ping Sudakow, Ivan Krapivsky, P. L. |
| author_facet | Ma, Yi-Ping Sudakow, Ivan Krapivsky, P. L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed phases in feedback Ising models Ma, Yi-Ping Sudakow, Ivan Krapivsky, P. L. Statistical Mechanics Dynamical Systems 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. |
| title | Mixed phases in feedback Ising models |
| topic | Statistical Mechanics Dynamical Systems |
| url | https://arxiv.org/abs/2506.09025 |