{
  "abstract": "We study a globally coupled stochastic system in which each unit carries an Ising spin and a continuous phase. The spins undergo Glauber switching with relaxation rate $γ$, while the phases are driven by Ornstein-Uhlenbeck noise with correlation time $τ$. A spin-dependent phase interaction supports a composite coherent mode, $Z_m=N^{-1}\\sum_jσ_j e^{iθ_j}$, that can order even when the ordinary phase coherence is small. Linear response about the nonmagnetic incoherent state gives the synchronization threshold $K_{\\mathrm c}=[(μ+β_sγ)χ_γ]^{-1}$, where $χ_γ$ is a memory-weighted Laplace transform of the free phase correlation function. The competition between the increasing Glauber response and the decreasing memory susceptibility produces a finite switching rate at which $K_{\\mathrm c}$ is minimized. We derive a general sufficient condition for such an interior optimum and show that finite-time Ornstein-Uhlenbeck correlations satisfy the required fast-switching asymptotics, whereas the white-noise limit need not. Finite-size simulations reproduce the nonmonotonic threshold, its shift toward slower switching as $τ$ increases, antiphase composite order in a nonmagnetic state, and mode mixing on a magnetized background.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35838",
  "author_total": 1,
  "authors": [
    {
      "name": "Reon Hayashi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f3njtspqeq338.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35838",
  "fulltext_url": null,
  "id": "f3njtspqeq338",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35838",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7214997609",
  "pdf_url": "https://arxiv.org/pdf/2609.35838",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f3njtspqeq338.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.35838",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35838"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Memory-induced optimal switching in a dynamic Ising-Kuramoto model",
  "title_text": "Memory-induced optimal switching in a dynamic Ising-Kuramoto model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/f3njtspqeq338",
  "venue": "arXiv",
  "versions": []
}