Standard

Logarithmic violation of scaling in anisotropic kinematic dynamo model. / Antonov, N. V.; Gulitskiy, N. M.

в: AIP Conference Proceedings, Том 1701, 2016, стр. 100006_1-20.

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

Harvard

Antonov, NV & Gulitskiy, NM 2016, 'Logarithmic violation of scaling in anisotropic kinematic dynamo model', AIP Conference Proceedings, Том. 1701, стр. 100006_1-20. https://doi.org/10.1063/1.4938715

APA

Antonov, N. V., & Gulitskiy, N. M. (2016). Logarithmic violation of scaling in anisotropic kinematic dynamo model. AIP Conference Proceedings, 1701, 100006_1-20. https://doi.org/10.1063/1.4938715

Vancouver

Antonov NV, Gulitskiy NM. Logarithmic violation of scaling in anisotropic kinematic dynamo model. AIP Conference Proceedings. 2016;1701:100006_1-20. https://doi.org/10.1063/1.4938715

Author

Antonov, N. V. ; Gulitskiy, N. M. / Logarithmic violation of scaling in anisotropic kinematic dynamo model. в: AIP Conference Proceedings. 2016 ; Том 1701. стр. 100006_1-20.

BibTeX

@article{ed42a028552742ee95da0c748e78d019,
title = "Logarithmic violation of scaling in anisotropic kinematic dynamo model",
abstract = "Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is studied by means of the field theoretic renormalization group and the operator product expansion. The stochastic advection-diffusion equation for the transverse (divergence-free) vector field includes, as special cases, the kinematic dynamo model for magnetohydrodynamic turbulence and the linearized Navier–Stokes equation. In contrast to the well known isotropic Kraichnan{\textquoteright}s model, where various correlation functions exhibit anomalous scaling behavior with infinite sets of anomalous exponents, here the dependence on the integral turbulence scale L has a logarithmic behavior: instead of powerlike corrections to ordinary scaling, determined by naive (canonical) dimensions, the anomalies manifest themselves as polynomials of logarithms of L.",
keywords = "anomalous scaling, passive vector advection, magnetohydrodynamic turbulence, renormalization group",
author = "Antonov, {N. V.} and Gulitskiy, {N. M.}",
year = "2016",
doi = "10.1063/1.4938715",
language = "English",
volume = "1701",
pages = "100006_1--20",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",

}

RIS

TY - JOUR

T1 - Logarithmic violation of scaling in anisotropic kinematic dynamo model

AU - Antonov, N. V.

AU - Gulitskiy, N. M.

PY - 2016

Y1 - 2016

N2 - Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is studied by means of the field theoretic renormalization group and the operator product expansion. The stochastic advection-diffusion equation for the transverse (divergence-free) vector field includes, as special cases, the kinematic dynamo model for magnetohydrodynamic turbulence and the linearized Navier–Stokes equation. In contrast to the well known isotropic Kraichnan’s model, where various correlation functions exhibit anomalous scaling behavior with infinite sets of anomalous exponents, here the dependence on the integral turbulence scale L has a logarithmic behavior: instead of powerlike corrections to ordinary scaling, determined by naive (canonical) dimensions, the anomalies manifest themselves as polynomials of logarithms of L.

AB - Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is studied by means of the field theoretic renormalization group and the operator product expansion. The stochastic advection-diffusion equation for the transverse (divergence-free) vector field includes, as special cases, the kinematic dynamo model for magnetohydrodynamic turbulence and the linearized Navier–Stokes equation. In contrast to the well known isotropic Kraichnan’s model, where various correlation functions exhibit anomalous scaling behavior with infinite sets of anomalous exponents, here the dependence on the integral turbulence scale L has a logarithmic behavior: instead of powerlike corrections to ordinary scaling, determined by naive (canonical) dimensions, the anomalies manifest themselves as polynomials of logarithms of L.

KW - anomalous scaling

KW - passive vector advection

KW - magnetohydrodynamic turbulence

KW - renormalization group

U2 - 10.1063/1.4938715

DO - 10.1063/1.4938715

M3 - Article

VL - 1701

SP - 100006_1-20

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

ER -

ID: 7552202