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