Pith Number

pith:W53FL5C7

pith:2026:W53FL5C72R6LS7GG26NT5HU25V

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Electrohydrodynamic lubrication theory for an immersed cylinder moving near wall

Anirban Chatterjee (LOMA), Thomas Salez (LOMA, X-DEP-MECA), Yacine Amarouchene (LOMA)

Electrohydrodynamic lubrication theory yields three coupled equations for the normal, longitudinal, and rotational motion of a charged cylinder near a charged wall in an ionic solution.

arxiv:2604.25350 v2 · 2026-04-28 · cond-mat.soft · cond-mat.stat-mech · physics.class-ph · physics.flu-dyn

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Claims

C1strongest claim

Combining hydrodynamic lubrication theory, Debye-Hückel electrostatics, and Nernst-Planck electrokinetics, we derive the three coupled equations of motion for the normal, longitudinal and rotational degrees of freedom of the cylinder... Our results reveal complex behaviours, beyond existing asymptotic electroviscous-lift expressions, and extend the classical Faxen-Brenner-like mobility matrix when surface charges and dissolved ions are incorporated.

C2weakest assumption

The lubrication approximation (small gap) and Debye-Hückel linearization (weak potentials) remain valid throughout the motion; if the gap becomes comparable to the cylinder radius or surface potentials exceed a few kT/e, the derived equations lose quantitative accuracy.

C3one line summary

Derives three coupled equations of motion for a charged cylinder near a charged wall via electrohydrodynamic lubrication theory, extending the Faxen-Brenner mobility matrix with surface charges and ions.

Receipt and verification

First computed	2026-06-24T01:14:28.070581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77655f45fd47cb97cc6d79b3e9e9aed64e63a7e6341cafa4bcd60ad4fe11c6e

Aliases

arxiv: 2604.25350 · arxiv_version: 2604.25350v2 · doi: 10.48550/arxiv.2604.25350 · pith_short_12: W53FL5C72R6L · pith_short_16: W53FL5C72R6LS7GG · pith_short_8: W53FL5C7

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W53FL5C72R6LS7GG26NT5HU25V \
  | 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: b77655f45fd47cb97cc6d79b3e9e9aed64e63a7e6341cafa4bcd60ad4fe11c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945244aa3d34ed95888276cfd70924ec124024f8263165ed0d7deff5b48e0f3a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.class-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-28T08:09:12Z",
    "title_canon_sha256": "25af1af9eb0e0504550139ee449d4c88631295273def117905f984acddb85fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25350",
    "kind": "arxiv",
    "version": 2
  }
}