{
  "abstract": "We study mass-conserving Markov jump processes on a square lattice, where masses hop with a preferred rotational sense, thus breaking both time-reversal and mirror symmetries. We consider closed systems with both periodic and open (reflecting) boundaries, the latter supporting a steady-state edge current. We show that odd diffusion, arising from the chiral transport, generically provides a mechanism for the emergence of scale-invariant two-point density correlations in nonequilibrium steady states even in the presence of lattice rotation symmetry -- a mechanism that is qualitatively distinct from the well-known mechanism of anisotropic hopping. We exactly calculate the steady-state equal-time density-density correlations, which exhibit an algebraic decay, $C(\\mathbf{r}) \\sim |\\mathbf{r}|^{-4}$ for $|\\mathbf{r}| \\gg 1$. This algebraic behavior results from the interplay between the off-diagonal components of the diffusion and mobility tensors, demonstrating that chiral transport alone can generate power-law correlations in isotropic driven systems. Remarkably, the structure factor in the zero-wavenumber limit and the amplitude of the power laws depend nontrivially on chirality. While increasing chirality initially suppresses large-scale density fluctuations, the fluctuations beyond a threshold odd-diffusion strength vary nonmonotonically with chirality and develop a cusp singularity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16821",
  "author_total": 3,
  "authors": [
    {
      "name": "Koushik Das"
    },
    {
      "name": "Animesh Hazra"
    },
    {
      "name": "Punyabrata Pradhan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f30wc5z1q72d1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16821",
  "fulltext_url": null,
  "id": "f30wc5z1q72d1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16821",
  "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.stat-mech"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7213431896",
  "pdf_url": "https://arxiv.org/pdf/2609.16821",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f30wc5z1q72d1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16821",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16821"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Odd diffusion and power-law correlations in chiral mass-transport processes",
  "title_text": "Odd diffusion and power-law correlations in chiral mass-transport processes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/f30wc5z1q72d1",
  "venue": "arXiv",
  "versions": []
}