{
  "abstract": "We study the stability of collective neutrino oscillations using a distributional approach motivated by the statistical mechanics of Kuramoto synchronization. Treating the ensemble of neutrino flavor polarization vectors in the thermodynamic limit $N\\to\\infty$, we derive an exact nonlinear Fokker--Planck (continuity) equation for the one-body distribution $F(\\vec{\\mathbf{S}},ω,t)$ on the flavor sphere. This equation admits a two-parameter family of azimuthally symmetric stationary solutions, whose stability we analyze by linearizing around them. The resulting eigenvalue condition determines the growth or decay rate of small perturbations from \\emph{any} initial distribution -- not merely from a state close to full flavor coherence -- thereby going significantly beyond the conventional linear stability analysis of collective modes. In special limits the condition reproduces known synchronization thresholds in the two-beam model, providing a non-trivial check of the framework. We present analytical results for the eigenvalue equation and explore stability phase diagrams for physically relevant frequency distributions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04441",
  "author_total": 4,
  "authors": [
    {
      "name": "Rupak Majumder"
    },
    {
      "name": "Dwaipayan Mukherjee"
    },
    {
      "name": "Shamik Gupta"
    },
    {
      "name": "Basudeb Dasgupta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/78f17h3bw51er.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04441",
  "fulltext_url": null,
  "id": "78f17h3bw51er",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04441",
  "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",
      "astro-ph.SR"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "nlin.AO"
    ],
    [
      "openalex",
      "3106|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7211918929",
  "pdf_url": "https://arxiv.org/pdf/2609.04441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/78f17h3bw51er.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04441"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.SR",
      "subfield": "stellar"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Stability of Collective Neutrino Oscillations -- A Distributional Approach",
  "title_text": "Stability of Collective Neutrino Oscillations -- A Distributional Approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:14Z",
  "url": "https://research.draconitic.com/paper/78f17h3bw51er",
  "venue": "arXiv",
  "versions": []
}