Standard

Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4. / Antonov, Nikolay V.; Gulitskiy, Nikolay M.; Kostenko, Maria M.; Lučivjanský, Tomáš.

в: Universe, Том 5, № 1, 37, 18.01.2019.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Antonov, NV, Gulitskiy, NM, Kostenko, MM & Lučivjanský, T 2019, 'Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4', Universe, Том. 5, № 1, 37. https://doi.org/10.3390/universe5010037

APA

Antonov, N. V., Gulitskiy, N. M., Kostenko, M. M., & Lučivjanský, T. (2019). Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4. Universe, 5(1), [37]. https://doi.org/10.3390/universe5010037

Vancouver

Antonov NV, Gulitskiy NM, Kostenko MM, Lučivjanský T. Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4. Universe. 2019 Янв. 18;5(1). 37. https://doi.org/10.3390/universe5010037

Author

Antonov, Nikolay V. ; Gulitskiy, Nikolay M. ; Kostenko, Maria M. ; Lučivjanský, Tomáš. / Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4. в: Universe. 2019 ; Том 5, № 1.

BibTeX

@article{a209294043f24482b9105bd5b98c8894,
title = "Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4",
abstract = "The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d, where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation).",
keywords = "Anomalous scaling, Field-theoretic renormalization group, Fully developed turbulence, Magnetohydrodynamics, MULTIFRACTALS, MODELS, magnetohydrodynamics, anomalous scaling, OPERATOR PRODUCT EXPANSION, fully developed turbulence, field-theoretic renormalization group, SCALAR",
author = "Antonov, {Nikolay V.} and Gulitskiy, {Nikolay M.} and Kostenko, {Maria M.} and Tom{\'a}{\v s} Lu{\v c}ivjansk{\'y}",
year = "2019",
month = jan,
day = "18",
doi = "10.3390/universe5010037",
language = "English",
volume = "5",
journal = "Universe",
issn = "2218-1997",
publisher = "MDPI AG",
number = "1",

}

RIS

TY - JOUR

T1 - Passive advection of a vector field by compressible turbulent flow: Renormalizations Group Analysis near d = 4

AU - Antonov, Nikolay V.

AU - Gulitskiy, Nikolay M.

AU - Kostenko, Maria M.

AU - Lučivjanský, Tomáš

PY - 2019/1/18

Y1 - 2019/1/18

N2 - The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d, where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation).

AB - The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d, where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation).

KW - Anomalous scaling

KW - Field-theoretic renormalization group

KW - Fully developed turbulence

KW - Magnetohydrodynamics

KW - MULTIFRACTALS

KW - MODELS

KW - magnetohydrodynamics

KW - anomalous scaling

KW - OPERATOR PRODUCT EXPANSION

KW - fully developed turbulence

KW - field-theoretic renormalization group

KW - SCALAR

UR - http://www.scopus.com/inward/record.url?scp=85064387027&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/passive-advection-vector-field-compressible-turbulent-flow-renormalizations-group-analysis-near-d-4

U2 - 10.3390/universe5010037

DO - 10.3390/universe5010037

M3 - Article

AN - SCOPUS:85064387027

VL - 5

JO - Universe

JF - Universe

SN - 2218-1997

IS - 1

M1 - 37

ER -

ID: 41375855