Anisotropic Spectra of Acoustic Turbulence

A. Pomyalov; V.S L'vov; Yu.V. L'vov

RECORD

Anisotropic Spectra of Acoustic Turbulence

V.S L'vov, Yu.V. L'vov, A. Pomyalov

chao-dyn · Submitted 19 May 1999

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

The authors' main claim The main result of the article is that the spectra of acoustic turbulence tend to become more isotropic.

how it is stated · asserted 0.94 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,557 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.24 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We found universal anizopropic spectra of acoustic turbulence with the linear dispersion law \bbox{$\omega (k) =ck$} within the framework of generalized kinetic equation which takes into account the finite time of three-wave interactions. This anisotropic spectra can assume both scale-invariant and non scale-invariant form. The implications for the evolution of the acoustic turbulence with non-isotropic pumping are discussed. The main result of the article is that the spectra of acoustic turbulence tend to become more isotropic.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We found universal anizopropic spectra of acoustic turbulence with the linear dispersion law \bbox{$\omega (k) =ck$} within the framework of generalized kinetic equation which takes into account the finite time of three-wave interactions.	result 0.96	0.94	0.06	asserted 1.00
s1	This anisotropic spectra can assume both scale-invariant and non scale-invariant form.	result 0.98	0.68	0.03	hedged possibility 0.81
s2	The implications for the evolution of the acoustic turbulence with non-isotropic pumping are discussed.	interpretation 0.98	0.32	0.02	unclear 0.82
s3	The main result of the article is that the spectra of acoustic turbulence tend to become more isotropic.	result 0.99	0.79	0.97	asserted 0.94

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

levels run

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 found universal anizopropic spectra of acoustic turbulence with the linear dispersion law \bbox{$\omega (k) =ck$} within the framework of generalized kinetic equation which takes into account the finite time of three-wave interactions. This anisotropic spectra can assume both scale-invariant and non scale-invariant form. The implications for the evolution of the acoustic turbulence with non-isotropic pumping are discussed. The main result of the article is that the spectra of acoustic turbulence tend to become more isotropic.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

2 arXiv papers cite this in 2 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

Papers citing it

Cites it as background 2 papers

Such a statistically random field of shocks moving in various directions is known as acoustic turbulence [ref] , and is the focus of this article.

Decay of acoustic turbulence in two dimensions and implications for cosmological gravitational waves · Introduction · 0.92
The interactions in a random field of shocks lead to so-called acoustic turbulence [ref] , which can be perceived as a longitudinal counterpart to vortical turbulence, and can act as an alternative mechanism for the dissipation of kinetic energy in a plasma.

Primordial acoustic turbulence: three-dimensional simulations and gravitational wave predictions · Introduction · 0.81

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.