Evidence for equivalence of diffusion processes of passive scalar and magnetic fields in anisotropic Navier-Stokes turbulence

E. Jurčišinová and M. Jurčišin
Phys. Rev. E 95, 053112 – Published 24 May 2017

Abstract

The influence of the uniaxial small-scale anisotropy on the kinematic magnetohydrodynamic turbulence is investigated by using the field theoretic renormalization group technique in the one-loop approximation of a perturbation theory. The infrared stable fixed point of the renormalization group equations, which drives the scaling properties of the model in the inertial range, is investigated as the function of the anisotropy parameters and it is shown that, at least at the one-loop level of approximation, the diffusion processes of the weak passive magnetic field in the anisotropically driven kinematic magnetohydrodynamic turbulence are completely equivalent to the corresponding diffusion processes of passively advected scalar fields in the anisotropic Navier-Stokes turbulent environments.

  • Figure
  • Received 2 March 2017

DOI:https://doi.org/10.1103/PhysRevE.95.053112

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsFluid DynamicsPlasma Physics

Authors & Affiliations

E. Jurčišinová1 and M. Jurčišin1,2

  • 1Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 040 01 Košice, Slovakia
  • 2Department of Theoretical Physics and Astrophysics, Faculty of Science, Pavol Jozef Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia

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Issue

Vol. 95, Iss. 5 — May 2017

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