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The critical equation of state of the 2D Ising model

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M.Caselle, M.Hasenbusch, A.Pelissetto, E.Vicari

Statistical Mechanics · Submitted 17 Nov 2000

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

The authors' main claim By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane.

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arXiv IDcond-mat/0011305 (version 2)
Pith ID3FJ5ZKOS, Pith's permanent record of this paper and its review
CitationA.Pelissetto, E.Vicari, M.Caselle, M.Hasenbusch. "The critical equation of state of the 2D Ising model." arXiv:cond-mat/0011305 (2000). https://pith.science/paper/3FJ5ZKOS
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,971 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.51 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane.

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 compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. method 0.81 0.96 0.06 asserted 1.00
s1 This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. result 0.87 0.90 0.19 asserted 1.00
s2 By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane. result 0.67 0.96 0.74 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from simulation or computation 0.64.

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  • T body sentences
  • C citations
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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 compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane.

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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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