Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible fluid

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Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible fluid. / Antonov, N.V.; Gulitskiy, N.M.; Kostenko, M.M.; Lučivjanský, T.

в: Theoretical and Mathematical Physics, Том 200, № 3, 01.09.2019, стр. 1294-1312.

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

BibTeX

@article{87556707010c45ae8c0407e1acfd8bc1,

title = "Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible fluid",

abstract = "Using a quantum field theory renormalization group, we consider models of advection of a vector field and a tracer field by a compressible turbulent flow. Both advected fields are considered passive, i.e., they do not have a backward influence on the fluid dynamics. The velocity field is generated by the stochasticNavier–Stokes equation. We consider the model in the vicinity of the special space dimension d = 4. Analysis of the model in the vicinity of this dimension allows constructing a double expansion in the parameters y (related to the correlator of the random force for the velocity field) and ε = 4 − d. We showthat in the framework of the one-loop approximation, the two models have similar scaling behavior, i.e., similar behavior of the correlation and structure functions in the inertial range. We calculate all critical dimensions, in particular, of tensor composite operators, in the leading order of the double expansion iny and ε.",

keywords = "Renormalization group, Turbulence, Anomalous scaling, magnetohydrodynamics (MHD), anomalous scaling, developed turbulence, magnetohydrodynamics, renormalization group, turbulent advection",

author = "N.V. Antonov and N.M. Gulitskiy and M.M. Kostenko and T. Lu{\v c}ivjansk{\'y}",

year = "2019",

month = sep,

day = "1",

doi = "10.1134/S0040577919090046",

language = "English",

volume = "200",

pages = "1294--1312",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible fluid

AU - Antonov, N.V.

AU - Gulitskiy, N.M.

AU - Kostenko, M.M.

AU - Lučivjanský, T.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Using a quantum field theory renormalization group, we consider models of advection of a vector field and a tracer field by a compressible turbulent flow. Both advected fields are considered passive, i.e., they do not have a backward influence on the fluid dynamics. The velocity field is generated by the stochasticNavier–Stokes equation. We consider the model in the vicinity of the special space dimension d = 4. Analysis of the model in the vicinity of this dimension allows constructing a double expansion in the parameters y (related to the correlator of the random force for the velocity field) and ε = 4 − d. We showthat in the framework of the one-loop approximation, the two models have similar scaling behavior, i.e., similar behavior of the correlation and structure functions in the inertial range. We calculate all critical dimensions, in particular, of tensor composite operators, in the leading order of the double expansion iny and ε.

AB - Using a quantum field theory renormalization group, we consider models of advection of a vector field and a tracer field by a compressible turbulent flow. Both advected fields are considered passive, i.e., they do not have a backward influence on the fluid dynamics. The velocity field is generated by the stochasticNavier–Stokes equation. We consider the model in the vicinity of the special space dimension d = 4. Analysis of the model in the vicinity of this dimension allows constructing a double expansion in the parameters y (related to the correlator of the random force for the velocity field) and ε = 4 − d. We showthat in the framework of the one-loop approximation, the two models have similar scaling behavior, i.e., similar behavior of the correlation and structure functions in the inertial range. We calculate all critical dimensions, in particular, of tensor composite operators, in the leading order of the double expansion iny and ε.

KW - Renormalization group

KW - Turbulence

KW - Anomalous scaling

KW - magnetohydrodynamics (MHD)

KW - anomalous scaling

KW - developed turbulence

KW - magnetohydrodynamics

KW - renormalization group

KW - turbulent advection

UR - http://www.scopus.com/inward/record.url?scp=85073189395&partnerID=8YFLogxK

U2 - 10.1134/S0040577919090046

DO - 10.1134/S0040577919090046

M3 - Article

VL - 200

SP - 1294

EP - 1312

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 45875652