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An exact macroscopic extended model with many moments

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Sebastiano Pennisi, Maria Cristina Carrisi, Antonio Scanu

Mathematical Physics · Submitted 1 Mar 2007

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

The authors' main claim The results of the kinetic approach are a particular case of the present ones.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath-ph/0703005 (version 1)
Pith IDX3JTMYBN, Pith's permanent record of this paper and its review
CitationAntonio Scanu, Maria Cristina Carrisi, Sebastiano Pennisi. "An exact macroscopic extended model with many moments." arXiv:math-ph/0703005 (2007). https://pith.science/paper/X3JTMYBN
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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, 4,195 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.20 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of ordinary thermodynamics. Here its methods are applied to the case of an arbitrary, but fixed, number of moments. The kinetic approach has already been developed in literature; then, the macroscopic approach is here considered and the constitutive functions appearing in the balance equations are determined up to whatever order with respect to thermodynamical equilibrium. The results of the kinetic approach are a particular case of the present ones.

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 Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. background 1.00 0.07 0.06 asserted 1.00
s1 Therefore, it constitutes a significative improvement of ordinary thermodynamics. background 0.75 0.06 0.09 asserted 1.00
s2 Here its methods are applied to the case of an arbitrary, but fixed, number of moments. contribution 0.92 0.80 0.06 asserted 0.98
s3 The kinetic approach has already been developed in literature; then, the macroscopic approach is here considered and the constitutive functions appearing in the balance equations are determined up to whatever order with respect to thermodynamical equilibrium. contribution 0.64 0.73 0.17 asserted 1.00
s4 The results of the kinetic approach are a particular case of the present ones. result 0.56 0.73 0.38 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

What was examined, and what was not

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  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of ordinary thermodynamics. Here its methods are applied to the case of an arbitrary, but fixed, number of moments. The kinetic approach has already been developed in literature; then, the macroscopic approach is here considered and the constitutive functions appearing in the balance equations are determined up to whatever order with respect to thermodynamical equilibrium. The results of the kinetic approach are a particular case of the present ones.

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