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Uspekhi Fizicheskikh Nauk, 2003, Volume 173, Number 7, Pages 757–768
DOI: https://doi.org/10.3367/UFNr.0173.200307f.0757
(Mi ufn2154)
 

This article is cited in 18 scientific papers (total in 19 papers)

METHODOLOGICAL NOTES

Correlation and percolation properties of turbulent diffusion

O. G. Bakunin

Russian Research Centre "Kurchatov Institute", Nuclear Fusion Institute
References:
Abstract: Ideas on characteristic behavior of correlation functions underlie all models of turbulent diffusion. This paper sets forth a consistent analysis of these correlation ideas, beginning with Taylor's work of 1921, which pioneered the use of the autocorrelation function, and ending with works on the percolation theory of turbulent diffusion. Despite the fact that specific physical problems are significantly different, the commonality of the theoretical notions involved is emphasized. It is shown how the ideas of 'long-range' correlations and fractality enter into the percolation method. The 'universality' of the percolation approach to the description of turbulent diffusion is discussed at some length.
Received: October 24, 2002
Revised: March 4, 2003
English version:
Physics–Uspekhi, 2003, Volume 46, Issue 7, Pages 733–744
DOI: https://doi.org/10.1070/PU2003v046n07ABEH001348
Bibliographic databases:
Document Type: Article
PACS: 05.40.-a, 47.27.Qb, 47.53.+n
Language: Russian
Citation: O. G. Bakunin, “Correlation and percolation properties of turbulent diffusion”, UFN, 173:7 (2003), 757–768; Phys. Usp., 46:7 (2003), 733–744
Citation in format AMSBIB
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\transl
\jour Phys. Usp.
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\crossref{https://doi.org/10.1070/PU2003v046n07ABEH001348}
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  • https://www.mathnet.ru/eng/ufn/v173/i7/p757
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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