{
  "abstract": "We obtain a hydrodynamic theory of diffusive-scale dynamics in one-dimensional systems with interacting sound modes in the absence of self-interactions. Chaotic systems generically feature three distinct Gaussian relaxation processes: besides normal diffusion, driven by microscopic noise stemming from fast-decaying non-hydrodynamic modes, collisions between sound modes lead to two additional channels: convective diffusion manifesting as an effective multiplicative temporal noise, and an effective additive noise generated by the surrounding hydrodynamic modes. Our theory also includes, as a subclass, integrable systems described by generalized hydrodynamics, representing a pure realization of convective diffusion. Focusing on convective diffusion, we obtain an exact closed-form expression for the higher-point dynamical correlation functions and contrast their structure with those of normal diffusion. Additionally, we show that in convective diffusion each sound mode features a universal non-Gaussian distribution of charge transfer in its comoving frame, thereby establishing anomalous fluctuations as a characteristic feature of diffusive-scale dynamics in integrable systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40862",
  "author_total": 4,
  "authors": [
    {
      "name": "Žiga Krajnik"
    },
    {
      "name": "Takato Yoshimura"
    },
    {
      "name": "Alvise Bastianello"
    },
    {
      "name": "Enej Ilievski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/77kx31bavsqsf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40862",
  "fulltext_url": null,
  "id": "77kx31bavsqsf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40862",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nlin.SI"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40862",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/77kx31bavsqsf.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.40862",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40862"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Theory of Convective Diffusion",
  "title_text": "Theory of Convective Diffusion",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/77kx31bavsqsf",
  "venue": "arXiv",
  "versions": []
}