Pith Number

pith:Z6HB342O

pith:2026:Z6HB342ONW6XI2ZDUFK5FA2NUS

not attested not anchored not stored refs pending

Continuum-statistical dynamics of colloidal suspensions under kinematic reversibility

Jerome Burelbach

Onsager reciprocal relations emerge from the Lorentz reciprocal theorem under kinematic reversibility in colloidal suspensions.

arxiv:2602.08049 v4 · 2026-02-08 · cond-mat.soft

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\pithnumber{Z6HB342ONW6XI2ZDUFK5FA2NUS}

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Onsager reciprocal relations emerge from the Lorentz reciprocal theorem under kinematic reversibility, based on the auxiliary flow problem of colloidal sedimentation. Our framework applies to suspensions containing multiple species of microparticles and derives all non-equilibrium contributions to colloidal diffusion from a single application of the Lorentz reciprocal theorem.

C2weakest assumption

Kinematic reversibility of the colloidal motion together with the clean decoupling of hydrostatic and hydrodynamic stress; if either fails at the particle scale the single-application derivation of all diffusion terms would not hold.

C3one line summary

A continuum framework shows Onsager reciprocity and colloidal diffusion coefficients emerge directly from the Lorentz reciprocal theorem applied to sedimentation flow problems.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-02T02:04:14.325063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8e1df34e6dbd746b23a155d2834da4b79e17e1dd79c3a1c1b42376a668a00f

Aliases

arxiv: 2602.08049 · arxiv_version: 2602.08049v4 · doi: 10.48550/arxiv.2602.08049 · pith_short_12: Z6HB342ONW6X · pith_short_16: Z6HB342ONW6XI2ZD · pith_short_8: Z6HB342O

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z6HB342ONW6XI2ZDUFK5FA2NUS \
  | 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: cf8e1df34e6dbd746b23a155d2834da4b79e17e1dd79c3a1c1b42376a668a00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ba535abda6255e5519ba1de079d5944819c57e602548d5a00a2d3ecdc46a15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-02-08T16:36:16Z",
    "title_canon_sha256": "39ab1b212f35859bcc957548ee968af12ad63d20e40b6c5d70642262e6740bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08049",
    "kind": "arxiv",
    "version": 4
  }
}