{"paper":{"title":"Global space correlations of polarization, charge density, and electric field in electrolytes under the fixed-potential condition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"In thin electrolyte films between fixed-potential electrodes, polarization and electric field correlations develop global, volume-inverse components when thickness falls below the Debye length.","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Akira Onuki","submitted_at":"2026-05-17T09:37:11Z","abstract_excerpt":"We examine the thermal fluctuations of the polarization $p$, the charge density $\\rho$, and the electric field $E$ in dilute electrolytes inserted between pararell metallic electrodes, where we fix the applied potential difference $\\Phi_a$ between the two electrodes. If the film thickness $H$ is shorter than the Debye screening length $\\kappa^{-1}$, the space correlation of the polarization $p_z$ and the electric field $E_z$ along the surface normal (in the $z$ direction) acuire global components inversely proportional to the film volume $V$, which vary slowly along the $z$ axis and are homoge"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"If the film thickness H is shorter than the Debye screening length κ^{-1}, the space correlation of the polarization p_z and the electric field E_z acquire global components inversely proportional to the film volume V, which vary slowly along z and are homogeneous in the xy plane; the effective dielectric constant ε_eff is expressed in terms of the fluctuation variances of p_z, ρ, and the nonlocal surface charge density at fixed Φ_a.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The fixed-potential boundary condition on metallic electrodes permits a homogeneous areal charge density component on each surface that produces the global electric fluctuations, an assumption that enters when relating electrode charge fluctuations to the interior field and polarization correlations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Global correlations in polarization and electric field arise in thin electrolyte films under fixed potential when thickness is less than the Debye length, with the effective dielectric constant expressed via fluctuation variances.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"In thin electrolyte films between fixed-potential electrodes, polarization and electric field correlations develop global, volume-inverse components when thickness falls below the Debye length.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2f4df4a771e45039b14112e25b0e301b548ed99f6c1d10a48045c83e6d91b81f"},"source":{"id":"2605.17346","kind":"arxiv","version":1},"verdict":{"id":"6c1328da-43b1-4186-ba9d-a96e287ef0d2","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T23:07:17.980773Z","strongest_claim":"If the film thickness H is shorter than the Debye screening length κ^{-1}, the space correlation of the polarization p_z and the electric field E_z acquire global components inversely proportional to the film volume V, which vary slowly along z and are homogeneous in the xy plane; the effective dielectric constant ε_eff is expressed in terms of the fluctuation variances of p_z, ρ, and the nonlocal surface charge density at fixed Φ_a.","one_line_summary":"Global correlations in polarization and electric field arise in thin electrolyte films under fixed potential when thickness is less than the Debye length, with the effective dielectric constant expressed via fluctuation variances.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The fixed-potential boundary condition on metallic electrodes permits a homogeneous areal charge density component on each surface that produces the global electric fluctuations, an assumption that enters when relating electrode charge fluctuations to the interior field and polarization correlations.","pith_extraction_headline":"In thin electrolyte films between fixed-potential electrodes, polarization and electric field correlations develop global, volume-inverse components when thickness falls below the Debye length."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17346/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T23:31:20.104289Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T23:21:01.611638Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.797761Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.734150Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"5ccf8cbf40eba749ced195c8149468273fc752a44d768d97cbc319ae265355f9"},"references":{"count":53,"sample":[{"doi":"","year":1929,"title":"Debye P J W 1929 Polar Molecules (Chemical Catalog, New York)","work_id":"f71ab422-7e30-468f-91db-9aecccdc3a80","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1984,"title":"Landau L D and Lifshitz E W 1984 Electrodynamics of Continuous Media (Pergamon, New York)","work_id":"9e9061d8-d58f-43ff-9b57-3c0100196a98","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2002,"title":"Robinson R A and Stokes R H 2002 Electrolyte Solutions , 2nd ed. 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