{
  "abstract": "In this contribution we consider the Fokker-Planck equation for fermions, commonly known as the Fermi-Dirac-Fokker-Planck equation. This equation is a correction of the classical Fokker-Planck model that incorporates the Pauli exclusion principle. We present a novel approach that combines three ingredients: (1) stability of solutions, (2) quantitative convergence for a dense set of initial data via a robust entropy method, and (3) a De Giorgi level-set iteration, to establish quantitative time-asymptotic thermalisation for general initial data. In particular, we prove quantitative convergence for arbitrarily cold initial data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33396",
  "author_total": 2,
  "authors": [
    {
      "name": "R. Alonso"
    },
    {
      "name": "B. Lods"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/95jybcb8xdjrp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33396",
  "fulltext_url": null,
  "id": "95jybcb8xdjrp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33396",
  "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",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7214699939",
  "pdf_url": "https://arxiv.org/pdf/2609.33396",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/95jybcb8xdjrp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.33396",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33396"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "An entropy-level method for quantitative time-asymptotic in the Fokker-Planck model for fermions -- appearance of non saturation",
  "title_text": "An entropy-level method for quantitative time-asymptotic in the Fokker-Planck model for fermions -- appearance of non saturation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/95jybcb8xdjrp",
  "venue": "arXiv",
  "versions": []
}