{
  "abstract": "We consider the exclusion process with energy, a model with mass and energy conservation, and we put it in a boundary-driven setting. We are interested in its hydrodynamic and hydrostatic limits, together with the associated dynamical and stationary fluctuations. We provide a new proof for the derivation of dynamical fluctuations that does not require explicit estimates on the two-point correlation functions. While the hydrodynamic limit is given by two uncoupled heat equations, the dynamical fluctuations are described by a system of coupled generalized Ornstein-Uhlenbeck processes.",
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  "article_type": null,
  "arxiv": "2609.08701",
  "author_total": 1,
  "authors": [
    {
      "name": "Hugo da Cunha"
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  "bibtex": "https://research.draconitic.com/paper/d2170mfs8qm87.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08701",
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  "id": "d2170mfs8qm87",
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      "2610|Stochastic processes and statistical mechanics"
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  "pdf_url": "https://hal.science/hal-05743306/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d2170mfs8qm87.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:31Z",
      "native_id": "hal-05743306",
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      "url": "https://hal.science/hal-05743306v1"
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      "first_seen": "2026-10-30T12:19:52Z",
      "native_id": "2609.08701",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08701"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Dynamical and stationary non-equilibrium fluctuations for a boundary-driven exclusion process with energy",
  "title_text": "Dynamical and stationary non-equilibrium fluctuations for a boundary-driven exclusion process with energy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/d2170mfs8qm87",
  "venue": "HAL",
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}