{
  "abstract": "We develop a macroscopic fluctuation theory for diffusive classical lattice gases subject to continuous coarse-grained monitoring. Treating measurements in the typical-outcome (quenched) regime, we show that observation adds a quadratic confining term to the MFT action that pins the density to its hydrodynamic profile. We derive sufficient conditions under which, in the presence of monitoring, the current large-deviation function remains convex, the additivity principle holds, and dynamical phase transitions are excluded. For particle-hole-symmetric one-dimensional models we find that monitoring suppresses dynamical phase transitions and can change their order from second to first, as we demonstrate in the Katz--Lebowitz--Spohn model. In the strong-measurement limit, we find that the current distribution becomes Gaussian and determine the scaling of its cumulants: they follow simple power laws when the mobility remains nonzero throughout the system, but exhibit anomalous logarithmic scaling when the mobility vanishes at the boundaries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18500",
  "author_total": 3,
  "authors": [
    {
      "name": "João Costa"
    },
    {
      "name": "Pedro Ribeiro"
    },
    {
      "name": "Andrea De Luca"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3t3qz3n25arxh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18500",
  "fulltext_url": null,
  "id": "3t3qz3n25arxh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18500",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7221793636",
  "pdf_url": "https://arxiv.org/pdf/2610.18500",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3t3qz3n25arxh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.18500",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18500"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Macroscopic fluctuation theory of stochastic systems undergoing monitoring",
  "title_text": "Macroscopic fluctuation theory of stochastic systems undergoing monitoring",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/3t3qz3n25arxh",
  "venue": "arXiv",
  "versions": []
}