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Growth of non-infinitesimal perturbations in turbulence

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E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, A. Vulpiani

chao-dyn · Submitted 15 Apr 1996

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

The authors' main claim We find that the scaling exponent is not sensitive to intermittency corrections, but is an invariant of the multifractal models.

how it is stated · asserted 1.00 read the record →

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arXiv IDchao-dyn/9604007 (version 1)
Pith IDDG5HKLFN, Pith's permanent record of this paper and its review
CitationA. Crisanti, A. Vulpiani, E. Aurell, G. Boffetta, G. Paladin. "Growth of non-infinitesimal perturbations in turbulence." arXiv:chao-dyn/9604007 (1996). https://pith.science/paper/DG5HKLFN
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,198 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.33 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. This allows one to determine the predictability time for non-infinitesimal perturbations, generalizing the usual concept of maximum Lyapunov exponent. We also determine the scaling law for our indicator in the framework of the multifractal approach. We find that the scaling exponent is not sensitive to intermittency corrections, but is an invariant of the multifractal models. A numerical test of the results is performed in the shell model for the turbulent energy cascade.

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 discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. contribution 0.94 0.91 0.07 asserted 0.94
s1 This allows one to determine the predictability time for non-infinitesimal perturbations, generalizing the usual concept of maximum Lyapunov exponent. contribution 0.71 0.72 0.22 asserted 0.81
s2 We also determine the scaling law for our indicator in the framework of the multifractal approach. contribution 0.78 0.94 0.10 asserted 0.99
s3 We find that the scaling exponent is not sensitive to intermittency corrections, but is an invariant of the multifractal models. result 0.99 0.94 0.41 asserted 1.00
s4 A numerical test of the results is performed in the shell model for the turbulent energy cascade. method 0.94 0.93 0.04 asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.57 · evidence from simulation or computation 0.79.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
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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

We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. This allows one to determine the predictability time for non-infinitesimal perturbations, generalizing the usual concept of maximum Lyapunov exponent. We also determine the scaling law for our indicator in the framework of the multifractal approach. We find that the scaling exponent is not sensitive to intermittency corrections, but is an invariant of the multifractal models. A numerical test of the results is performed in the shell model for the turbulent energy cascade.

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