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Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model. / Antonov, N. V.; Gulitskiy, N. M.

в: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Том 85, № 6, 2012, стр. 065301(R)_1-4.

Результаты исследований: Научные публикации в периодических изданияхстатья

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@article{92ff72abb9ba49bbaecab77fff357182,
title = "Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model",
abstract = "The field theoretic renormalization group and operator product expansion are applied to the Kazantsev--Kraichnan kinematic model for the magnetohydrodynamic turbulence. The anomalous scaling emerges as a consequence of the existence of certain composite fields ({"}operators{"}) with negative dimensions. The anomalous exponents for the correlation functions of arbitrary order are calculated in the two-loop approximation (second order of the renormalization-group expansion), including the anisotropic sectors. The anomalous scaling and the hierarchy of anisotropic contributions become stronger due to those second-order contributions.",
author = "Antonov, {N. V.} and Gulitskiy, {N. M.}",
year = "2012",
doi = "10.1103/PhysRevE.85.065301",
language = "English",
volume = "85",
pages = "065301(R)_1--4",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: Two-loop renormalization-group analysis of the Kazantsev--Kraichnan kinematic model

AU - Antonov, N. V.

AU - Gulitskiy, N. M.

PY - 2012

Y1 - 2012

N2 - The field theoretic renormalization group and operator product expansion are applied to the Kazantsev--Kraichnan kinematic model for the magnetohydrodynamic turbulence. The anomalous scaling emerges as a consequence of the existence of certain composite fields ("operators") with negative dimensions. The anomalous exponents for the correlation functions of arbitrary order are calculated in the two-loop approximation (second order of the renormalization-group expansion), including the anisotropic sectors. The anomalous scaling and the hierarchy of anisotropic contributions become stronger due to those second-order contributions.

AB - The field theoretic renormalization group and operator product expansion are applied to the Kazantsev--Kraichnan kinematic model for the magnetohydrodynamic turbulence. The anomalous scaling emerges as a consequence of the existence of certain composite fields ("operators") with negative dimensions. The anomalous exponents for the correlation functions of arbitrary order are calculated in the two-loop approximation (second order of the renormalization-group expansion), including the anisotropic sectors. The anomalous scaling and the hierarchy of anisotropic contributions become stronger due to those second-order contributions.

U2 - 10.1103/PhysRevE.85.065301

DO - 10.1103/PhysRevE.85.065301

M3 - Article

VL - 85

SP - 065301(R)_1-4

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

ER -

ID: 5330706