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Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent

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Victor S. L'vov, Evgenii Podivilov, Itamar Procaccia, (Department of Chemical Physics, The Weizmann Institute of Science, Rehovot, Israel)

chao-dyn · Submitted 23 Apr 1998

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

The authors' main claim We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters.

how it is stated · asserted 1.00 read the record →

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arXiv IDchao-dyn/9804036 (version 1)
Pith IDJDE3S3BU, Pith's permanent record of this paper and its review
Citation(Department of Chemical Physics, Evgenii Podivilov, Israel), Itamar Procaccia, Rehovot, The Weizmann Institute of Science, Victor S. L'vov. "Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent." arXiv:chao-dyn/9804036 (1998). https://pith.science/paper/JDE3S3BU
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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, 2,270 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.51 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. As a consequence we compute exactly a one-parameter family of anomalous scaling exponents associated with 4th order correlation functions.

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 show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. result 0.79 0.92 0.39 asserted 1.00
s1 As a consequence we compute exactly a one-parameter family of anomalous scaling exponents associated with 4th order correlation functions. result 0.99 0.95 0.55 asserted 1.00

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 v1
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 show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. As a consequence we compute exactly a one-parameter family of anomalous scaling exponents associated with 4th order correlation functions.

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