Pith Number

pith:PPPET7F6

pith:2026:PPPET7F6ZWUS6YBPWBFSGAPH35

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Thermodynamic Geometry of two-dimensional square-well fluids

Jaime Jaramillo-Guti\'errez, Jos\'e Torres-Arenas

Thermodynamic geometry shows that two-dimensional square-well fluids have narrower R-crossing validity in subcritical regions and longer-ranging Widom lines in supercritical regions than three-dimensional fluids.

arxiv:2605.13626 v1 · 2026-05-13 · cond-mat.stat-mech

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Claims

C1strongest claim

In the subcritical region, it is found that the R-crossing method has a narrower range of validity for two-dimensional fluids compared to three-dimensional ones. On the other hand, in the supercritical region, an analysis of different Widom lines, including the R Widom line, shows that for two-dimensional fluids these lines extend further into the supercritical region than their three-dimensional counterparts.

C2weakest assumption

The square-well potential and the chosen thermodynamic geometry framework (Ruppeiner metric) capture the essential physics needed to compare 2D and 3D fluid behavior across the stated domains.

C3one line summary

Thermodynamic geometry of 2D square-well fluids reveals narrower R-crossing validity in subcritical regions and extended Widom lines in supercritical regions compared to 3D counterparts.

References

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[1] J. M. Kosterlitz and D. J. Thouless. Two-dimensional physics. In D. F. Brewer, editor,Progress in Low Temper- ature Physics, volume 7 ofProgress in Low Temperature Physics, pages 371–433. Elsevier, 19 1978

[2] Michael N. Barber. Phase transitions in two dimensions. Physics Reports, 59(4):375–409, 1980. p-6 Thermodynamic Geometry of two-dimensional square-well fluids Fig. 7: Extremes of the response function 1980

[3] Sanusi Liman, Chieko Totsuji, and Kenji Tsuruta 2004

[4] Quasi-2d liquid 3He.Phys 2013

[5] A. K. Geim. Graphene: Status and prospects.Science, 324(5934):1530–1534, 2009 2009

Receipt and verification

First computed	2026-05-18T02:44:17.802298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bde49fcbecda92f602fb04b2301e7df5ae95bcf970c0c105a704209ecfa17d9

Aliases

arxiv: 2605.13626 · arxiv_version: 2605.13626v1 · doi: 10.48550/arxiv.2605.13626 · pith_short_12: PPPET7F6ZWUS · pith_short_16: PPPET7F6ZWUS6YBP · pith_short_8: PPPET7F6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PPPET7F6ZWUS6YBPWBFSGAPH35 \
  | 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: 7bde49fcbecda92f602fb04b2301e7df5ae95bcf970c0c105a704209ecfa17d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "417bba5a31a1071ec46cbe7a64f56971e80522ffde7bb8c00832b49c032bc81f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T14:53:35Z",
    "title_canon_sha256": "47273bc80d77328e6d567f339323012afd3cbeb106738742970b87d658c2cf71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13626",
    "kind": "arxiv",
    "version": 1
  }
}