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Relativistic Kinetics of Phonon Gas in Superfluids

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Vladimir Popov

General Relativity and Quantum Cosmology · Submitted 6 Jul 2006

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

The authors' main claim Based on the kinetic approach a problem of relativistic variation of the speed of sound under phonon influence at low temperature is solved.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0607023 (version 1)
Pith IDNY6URE7J, Pith's permanent record of this paper and its review
CitationVladimir Popov. "Relativistic Kinetics of Phonon Gas in Superfluids." arXiv:gr-qc/0607023 (2006). https://pith.science/paper/NY6URE7J
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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, 4,861 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The relativistic kinetic theory of the phonon gas in superfluids is developed. The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of quasi-particles. The necessary expressions are constructed in terms of a Hamilton function of a (quasi-)particle. A phonon contribution into superfluid dynamic parameters is obtained from energy-momentum balance equations for the phonon gas together with the conservation law for superfluids as a whole. Relations between dynamic flows being in agreement with results of relativistic hydrodynamic consideration are found. Based on the kinetic approach a problem of relativistic variation of the speed of sound under phonon influence at low temperature is solved.

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 The relativistic kinetic theory of the phonon gas in superfluids is developed. contribution 1.00 0.92 0.10 asserted 1.00
s1 The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of quasi-particles. method 0.98 0.81 0.04 asserted 0.99
s2 The necessary expressions are constructed in terms of a Hamilton function of a (quasi-)particle. method 0.98 0.88 0.04 asserted 1.00
s3 A phonon contribution into superfluid dynamic parameters is obtained from energy-momentum balance equations for the phonon gas together with the conservation law for superfluids as a whole. result 0.90 0.92 0.31 asserted 1.00
s4 Relations between dynamic flows being in agreement with results of relativistic hydrodynamic consideration are found. result 0.96 0.89 0.17 asserted 1.00
s5 Based on the kinetic approach a problem of relativistic variation of the speed of sound under phonon influence at low temperature is solved. result 0.66 0.92 0.39 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

What was examined, and what was not

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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

The relativistic kinetic theory of the phonon gas in superfluids is developed. The technique of the derivation of macroscopic balance equations from microscopic equations of motion for individual particles is applied to an ensemble of quasi-particles. The necessary expressions are constructed in terms of a Hamilton function of a (quasi-)particle. A phonon contribution into superfluid dynamic parameters is obtained from energy-momentum balance equations for the phonon gas together with the conservation law for superfluids as a whole. Relations between dynamic flows being in agreement with results of relativistic hydrodynamic consideration are found. Based on the kinetic approach a problem of relativistic variation of the speed of sound under phonon influence at low temperature is solved.

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How the literature uses it

4 arXiv papers cite this in 9 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 · 8 sentences without a confident label

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