Pith Number

pith:VPN5UGHC

pith:2026:VPN5UGHCCTIQKVXLS6CYYZ3OFK

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Global space correlations of polarization, charge density, and electric field in electrolytes under the fixed-potential condition

Akira Onuki

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.

arxiv:2605.17346 v1 · 2026-05-17 · cond-mat.soft · cond-mat.stat-mech

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

53 extracted · 53 resolved · 0 Pith anchors

[1] Debye P J W 1929 Polar Molecules (Chemical Catalog, New York) 1929

[2] Landau L D and Lifshitz E W 1984 Electrodynamics of Continuous Media (Pergamon, New York) 1984

[3] Robinson R A and Stokes R H 2002 Electrolyte Solutions , 2nd ed. (Dover: Mineola, NY) 2002

[4] Hautman J, Halley J W and Rhee Y J 1989 Molecular dynamics simulation of water between two ideal classical metal walls J. Chem. Phys. 91 467-472 1989

[5] Takae K and Onuki A 2015 Molecular dynamics simulation of water between metal walls under an electric field: Dielectric response and dynamics after field reversal J. Phys. Chem. B 119 9377 2015

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:53.413754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdbda18e214d10556eb97858c676e2aabb9c6697ecc6e4ab62e95f99d6f070d

Aliases

arxiv: 2605.17346 · arxiv_version: 2605.17346v1 · doi: 10.48550/arxiv.2605.17346 · pith_short_12: VPN5UGHCCTIQ · pith_short_16: VPN5UGHCCTIQKVXL · pith_short_8: VPN5UGHC

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VPN5UGHCCTIQKVXLS6CYYZ3OFK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: abdbda18e214d10556eb97858c676e2aabb9c6697ecc6e4ab62e95f99d6f070d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4455e030bb2d5d878fcd87337e812ab91d8949332a97630d1376318e6997106",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-05-17T09:37:11Z",
    "title_canon_sha256": "0ebeebbf8cecb667d23ade7fadc2d19307d43ebfcf85ef1427ef8cfd310afe98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17346",
    "kind": "arxiv",
    "version": 1
  }
}