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

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 di...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 85; no. 6 Pt 2; p. 065301
Main Authors Antonov, N V, Gulitskiy, N M
Format Journal Article
LanguageEnglish
Published United States 01.06.2012
Subjects
Algorithms
Anisotropy
Biomechanical Phenomena
Computer Simulation
Hydrodynamics
Magnetic Fields
Models, Theoretical
Rheology - methods
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Summary: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.
ISSN:1550-2376
DOI:10.1103/physreve.85.065301