{
  "abstract": "We present an empirical model that analytically relates the parameters of the extended Kubo-Toyabe (KT) function $G_z^{\\rm EA}(t;Δ,ν_{\\rm i},Q)$, which describes muon spin relaxation ($μ$SR) induced by jump diffusion of ions using the Edwards-Anderson parameter $Q$, to those of the conventional KT function $G_z^{\\rm KT}(t;Δ_{\\rm KT},ν_{\\rm KT})$ that serves as an approximation of $G_z^{\\rm EA}(t)$. The proposed formulae successfully reproduce the anomalous temperature dependences of the linewidth $Δ_{\\rm KT}(T)$ and the fluctuation rate $ν_{\\rm KT}(T)$ which are artifacts observed upon analyzing $μ$SR data on ion diffusion using $G_z^{\\rm KT}(t)$. Applying this model to $Δ_{\\rm KT}$ and $ν_{\\rm KT}$ published in the literature of battery materials yields activation energy $E_{\\rm i}$ and pre-exponential factor $ν_{\\rm i0}$ in the Arrhenius equation for ion diffusion, $ν_{\\rm i}(T)=ν_{\\rm i0} e^{-E_{\\rm i}/kT}$, that are in excellent agreement with those deduced using other techniques, transforming peculiar artifacts into a powerful diagnostic tool.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16006",
  "author_total": 1,
  "authors": [
    {
      "name": "Ryosuke Kadono"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/67vz159vwbyzk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16006",
  "fulltext_url": null,
  "id": "67vz159vwbyzk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16006",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "openalex",
      "2211|Muon and positron interactions and applications"
    ]
  ],
  "openalex": "W7221802304",
  "pdf_url": "https://arxiv.org/pdf/2610.16006",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/67vz159vwbyzk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.16006",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16006"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "An empirical model for deriving information on ion dynamics from $μ$SR data via the conventional Kubo-Toyabe function analysis",
  "title_text": "An empirical model for deriving information on ion dynamics from μSR data via the conventional Kubo-Toyabe function analysis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/67vz159vwbyzk",
  "venue": "arXiv",
  "versions": []
}