Standard

Two-parameter expansion in the renormalization-group analysis of turbulence. / Honkonen, J.; Nalimov, M. Yu.

In: Zeitschrift fur Physik B-Condensed Matter, Vol. 99, No. 2, 1996, p. 297-303.

Research output: Contribution to journal › Article › peer-review

Harvard

Honkonen, J & Nalimov, MY 1996, 'Two-parameter expansion in the renormalization-group analysis of turbulence', Zeitschrift fur Physik B-Condensed Matter, vol. 99, no. 2, pp. 297-303. https://doi.org/10.1007/s002570050040

APA

Honkonen, J., & Nalimov, M. Y. (1996). Two-parameter expansion in the renormalization-group analysis of turbulence. Zeitschrift fur Physik B-Condensed Matter, 99(2), 297-303. https://doi.org/10.1007/s002570050040

Vancouver

Honkonen J, Nalimov MY. Two-parameter expansion in the renormalization-group analysis of turbulence. Zeitschrift fur Physik B-Condensed Matter. 1996;99(2):297-303. https://doi.org/10.1007/s002570050040

Author

Honkonen, J. ; Nalimov, M. Yu. / Two-parameter expansion in the renormalization-group analysis of turbulence. In: Zeitschrift fur Physik B-Condensed Matter. 1996 ; Vol. 99, No. 2. pp. 297-303.

BibTeX

@article{ed828d25140547f2bc02074436a79c11,
title = "Two-parameter expansion in the renormalization-group analysis of turbulence",
abstract = "The renormalization of the solution of the Navier-Stokes equation for randomly stirred fluid with long-range correlations of the driving force is analysed near two dimensions. It is shown that a local term must be added to the correlation function of the random force for the correct renormalization of the model at two dimensions. The interplay of the short-range and long-range terms in the large-scale behaviour of the model is analysed near two dimensions by the field-theoretic renormalization group. A regular expansion in 2ε= d-2 and δ=2-λ is constructed, where d is the space dimension and λ the exponent of the powerlike correlation function of the driving force. It is shown that in spite of the additional divergences, the asymptotic behaviour of the model near two dimensions is the same as in higher dimensions, contrary to recent conjectures based on an incorrect renormalization procedure.",
keywords = "05.40. +j, 11.10.Hi, 47.27.Gs",
author = "J. Honkonen and Nalimov, {M. Yu}",
year = "1996",
doi = "10.1007/s002570050040",
language = "English",
volume = "99",
pages = "297--303",
journal = "Zeitschrift fur Physik B-Condensed Matter",
issn = "0722-3277",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Two-parameter expansion in the renormalization-group analysis of turbulence

AU - Honkonen, J.

AU - Nalimov, M. Yu

PY - 1996

Y1 - 1996

N2 - The renormalization of the solution of the Navier-Stokes equation for randomly stirred fluid with long-range correlations of the driving force is analysed near two dimensions. It is shown that a local term must be added to the correlation function of the random force for the correct renormalization of the model at two dimensions. The interplay of the short-range and long-range terms in the large-scale behaviour of the model is analysed near two dimensions by the field-theoretic renormalization group. A regular expansion in 2ε= d-2 and δ=2-λ is constructed, where d is the space dimension and λ the exponent of the powerlike correlation function of the driving force. It is shown that in spite of the additional divergences, the asymptotic behaviour of the model near two dimensions is the same as in higher dimensions, contrary to recent conjectures based on an incorrect renormalization procedure.

AB - The renormalization of the solution of the Navier-Stokes equation for randomly stirred fluid with long-range correlations of the driving force is analysed near two dimensions. It is shown that a local term must be added to the correlation function of the random force for the correct renormalization of the model at two dimensions. The interplay of the short-range and long-range terms in the large-scale behaviour of the model is analysed near two dimensions by the field-theoretic renormalization group. A regular expansion in 2ε= d-2 and δ=2-λ is constructed, where d is the space dimension and λ the exponent of the powerlike correlation function of the driving force. It is shown that in spite of the additional divergences, the asymptotic behaviour of the model near two dimensions is the same as in higher dimensions, contrary to recent conjectures based on an incorrect renormalization procedure.

KW - 05.40. +j

KW - 11.10.Hi

KW - 47.27.Gs

UR - http://www.scopus.com/inward/record.url?scp=51249166330&partnerID=8YFLogxK

U2 - 10.1007/s002570050040

DO - 10.1007/s002570050040

M3 - Article

VL - 99

SP - 297

EP - 303

JO - Zeitschrift fur Physik B-Condensed Matter

JF - Zeitschrift fur Physik B-Condensed Matter

SN - 0722-3277

IS - 2

ER -

ID: 5181734