{
  "abstract": "Electrolytes under an external magnetic field exhibit a Hall conductivity, much like metals and semiconductors. However, existing theories fail to quantitatively account for their measured Hall conductivities. To make progress toward such a theory, we develop a stochastic density functional framework for electrolytes in a magnetic field. This framework, which we dub odd SDFT, extends the celebrated stochastic density functional theory (SDFT) to incorporate transverse mobilities and chiral time-correlated noise. Using this framework, we calculate the Hall conductivity in the absence of hydrodynamic solvent effects through three approaches: (i) direct response, (ii) Green-Kubo relation, and (iii) a hybrid fluctuation-dissipation relation. We further show that odd SDFT applies more broadly to fluids with broken time-reversal and mirror symmetry, including odd-diffusive fluids and chiral active matter. Our results generalize the relaxation correction of Debye-Hückel-Onsager theory to magnetized electrolytes and provide a foundation for incorporating additional effects mediated by the solvent that could quantitatively reconcile theory and experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33797",
  "author_total": 5,
  "authors": [
    {
      "name": "Yael Avni"
    },
    {
      "name": "Michel Fruchart"
    },
    {
      "name": "David Martin"
    },
    {
      "name": "Tali Khain"
    },
    {
      "name": "Vincenzo Vitelli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a3hebm4pty0rj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33797",
  "fulltext_url": null,
  "id": "a3hebm4pty0rj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33797",
  "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",
      "1606|Electrostatics and Colloid Interactions"
    ]
  ],
  "openalex": "W7214805956",
  "pdf_url": "https://arxiv.org/pdf/2609.33797",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a3hebm4pty0rj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2609.33797",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33797"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Hall conductance of dilute electrolytes from odd stochastic density functional theory",
  "title_text": "Hall conductance of dilute electrolytes from odd stochastic density functional theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/a3hebm4pty0rj",
  "venue": "arXiv",
  "versions": []
}