{
  "abstract": "In this article, we find a scaling limit of the space-time mass fluctuation field of Glauber + Kawasaki particle dynamics around its hydrodynamic mean curvature interface limit. Here, the Glauber rates are scaled by $$K=K_N$$ K = K N (with $$K_N\\uparrow \\infty $$ K N ↑ ∞ as $$N\\uparrow \\infty $$ N ↑ ∞ ), the Kawasaki rates by $$N^2$$ N 2 and space by 1/ N . We start the process so that the continuum interface $$\\Gamma _t$$ Γ t formed, between ‘high’ $$\\rho _+$$ ρ + and ‘low’ $$\\rho _-$$ ρ - density regions, is stationary that is, $$\\Gamma _t$$ Γ t is ‘flat’. When the Glauber rates are balanced on $${\\mathbb {T}}^d$$ T d , the interface $$\\Gamma _t=\\Gamma =\\{v: v_1=0\\}$$ Γ t = Γ = { v : v 1 = 0 } is immobile and the hydrodynamic limit is given by $$\\rho (t,v) = \\rho _+$$ ρ ( t , v ) = ρ + for $$v_1\\in (0,1/2)$$ v 1 ∈ ( 0 , 1 / 2 ) and $$\\rho (t,v)= \\rho _-$$ ρ",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2412.04015",
  "author_total": 3,
  "authors": [
    {
      "name": "Tadahisa Funaki"
    },
    {
      "name": "Claudio Landim"
    },
    {
      "name": "Sunder Sethuraman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/29300qnk5ak2c.bib",
  "cited_by": 0,
  "doi": "10.1007/s00220-026-05712-3",
  "fulltext_url": null,
  "id": "29300qnk5ak2c",
  "issns": [
    "0010-3616",
    "1432-0916"
  ],
  "landing_url": "https://hal.science/hal-05770829v1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W4405094904",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00220-026-05712-3.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": "Springer Verlag",
  "ris": "https://research.draconitic.com/paper/29300qnk5ak2c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:44Z",
      "native_id": "hal-05770829",
      "source": "hal",
      "url": "https://hal.science/hal-05770829v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Stochastic processes and statistical mechanics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Linear Fluctuation of Interfaces in Glauber–Kawasaki Dynamics",
  "title_text": "Linear Fluctuation of Interfaces in Glauber–Kawasaki Dynamics",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:44Z",
  "url": "https://research.draconitic.com/paper/29300qnk5ak2c",
  "venue": "Communications in Mathematical Physics",
  "versions": []
}