Pith Number

pith:YWS4GFL2

pith:2026:YWS4GFL2BQDVW7DW3UD5ZAD2PV

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Orientational ordering and correlations in a quasi-one-dimensional hard-dumbbell fluid

Ana M. Montero, Andr\'es Santos, P\'eter Gurin, Szabolcs Varga

A quasi-one-dimensional hard-dumbbell fluid exhibits a continuous crossover to bimodal orientational ordering and reaches twice the Tonks pressure in the high-pressure limit.

arxiv:2601.15834 v2 · 2026-01-22 · cond-mat.soft

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4 Citations open

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Claims

C1strongest claim

In the high-pressure limit, orientational and positional fluctuations contribute equally to the pressure, leading to a universal ratio of twice the Tonks pressure.

C2weakest assumption

The quasi-one-dimensional geometry with purely hard interactions and continuous orientations is assumed to capture the essential physics; real systems include attractions or three-dimensional fluctuations that could alter the crossover.

C3one line summary

Exact transfer-matrix solution for quasi-1D hard dumbbells reveals density-driven crossover to bimodal orientational ordering, nonmonotonic pressure, and a universal high-pressure ratio of twice the Tonks gas pressure.

References

42 extracted · 42 resolved · 1 Pith anchors

[1] Orientational ordering and correlations in a quasi-one-dimensional hard-dumbbell fluid 2026 · arXiv:2601.15834

[2] we have used the standard relation ∫ L 0 dx1 · · ·∫ L xN− 1 dx N = ∫ ∞ 0 dr1 · · ·∫ ∞ 0 drN δ (L − ∑ i ri), which transforms the ordered integrals over par- ticle positions into integrals over nearest

[3] A key advantage of this approach is that the trace of ˆKN can be evaluated in any convenient basis

[4] Therefore, determining λ 0 is sufﬁcient to characterize the system’s thermodynamics

[5] Let us denote by λ k(s) and |ψ k(s)⟩ the eigenvalues and eigenvectors, respectively , of the operator ˆΩ (s)

Formal links

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Cited by

1 paper in Pith

Orientational ordering and correlations in a quasi-one-dimensional hard-dumbbell fluid

Receipt and verification

First computed	2026-05-18T02:45:05.950460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a5c3157a0c075b7c76dd07dc807a7d6f2c7aa3a0ed0b443ae31a9c9a98493f

Aliases

arxiv: 2601.15834 · arxiv_version: 2601.15834v2 · doi: 10.48550/arxiv.2601.15834 · pith_short_12: YWS4GFL2BQDV · pith_short_16: YWS4GFL2BQDVW7DW · pith_short_8: YWS4GFL2

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YWS4GFL2BQDVW7DW3UD5ZAD2PV \
  | 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: c5a5c3157a0c075b7c76dd07dc807a7d6f2c7aa3a0ed0b443ae31a9c9a98493f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53167ded3ddbf9740f37295948f3f387e85f2ab580fe46892b8843b8b675dcf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-01-22T10:39:20Z",
    "title_canon_sha256": "653f63c756fef8ccb299e93820190ead6b00b73d8afaf12cf0fba82a0c69fb3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15834",
    "kind": "arxiv",
    "version": 2
  }
}