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Temperature Expansions in the Square-Shoulder Fluid I: the Wiener-Hopf Function

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O. Coquand, M. Sperl

Statistical Mechanics · Submitted 13 Dec 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We then discuss the suitability of perturbative approaches in relation to the Ornstein-Zernike equation.

how it is stated · unclear 0.85 read the record →

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arXiv ID1912.06574 (version 2)
Pith IDAC5FL3XP, Pith's permanent record of this paper and its review
CitationM. Sperl, O. Coquand. "Temperature Expansions in the Square-Shoulder Fluid I: the Wiener-Hopf Function." arXiv:1912.06574 (2019). https://pith.science/paper/AC5FL3XP
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,880 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.42 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We investigate the spatial structure of dense square-shoulder fluids. To this end we derive analytical perturbative solutions of the Ornstein-Zernike equation in the low- and high-temperature limits as expansions around the known hard sphere solutions. We then discuss the suitability of perturbative approaches in relation to the Ornstein-Zernike equation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the spatial structure of dense square-shoulder fluids. contribution 0.79 0.84 0.04 asserted 0.70
s1 To this end we derive analytical perturbative solutions of the Ornstein-Zernike equation in the low- and high-temperature limits as expansions around the known hard sphere solutions. method 0.91 0.96 0.08 asserted 1.00
s2 We then discuss the suitability of perturbative approaches in relation to the Ornstein-Zernike equation. contribution 0.52 0.81 0.11 unclear 0.85

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We investigate the spatial structure of dense square-shoulder fluids. To this end we derive analytical perturbative solutions of the Ornstein-Zernike equation in the low- and high-temperature limits as expansions around the known hard sphere solutions. We then discuss the suitability of perturbative approaches in relation to the Ornstein-Zernike equation.

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1 arXiv paper cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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