{
  "abstract": "This work is a step towards a general understanding of fluctuations for systems of particles described at large scale by fractional diffusion. First, we derive formally a Large Deviation Principle for the empirical measure of mean-field interacting particles with a Lévy-type noise. In the case of independent particles, this unveils a generalized gradient flow structure at large scales. Second, we derive and solve numerically a stochastic Partial Differential Equation describing the fluctuating hydrodynamics of this system. The results compare well with direct numerical integration of the particles' dynamics.",
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  "article_type": null,
  "arxiv": "2610.18182",
  "author_total": 2,
  "authors": [
    {
      "name": "Julien Barre"
    },
    {
      "name": "Hiroshi Horii"
    }
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  "bibtex": "https://research.draconitic.com/paper/0qtrtjeayx9nr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18182",
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  "pdf_url": "https://hal.science/hal-05796131/document",
  "pmcid": null,
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  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0qtrtjeayx9nr.ris",
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      "first_seen": "2026-10-30T12:17:55Z",
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      "url": "https://hal.science/hal-05796131v1"
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      "native_id": "2610.18182",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18182"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
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    {
      "field": "mathematics",
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    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
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  "title": "Large deviations, gradient flows and fluctuating hydrodynamics for fractional diffusion",
  "title_text": "Large deviations, gradient flows and fluctuating hydrodynamics for fractional diffusion",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/0qtrtjeayx9nr",
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