Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 040 01 Košice, Slovakia.
Department of Theoretical Physics and Astrophysics, Faculty of Science, Pavol Jozef Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia.
Phys Rev E. 2017 May;95(5-1):053112. doi: 10.1103/PhysRevE.95.053112. Epub 2017 May 24.
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.
用微扰理论的单圈自洽重整化群方法研究了单轴小尺度各向异性对运动磁流体力学湍流的影响。重整化群方程的红外稳定不动点，它驱动了惯性区模型的标度性质，被作为各向异性参数的函数进行了研究，结果表明，至少在单圈近似水平上，各向异性驱动的运动磁流体力学湍流中弱被动磁场的扩散过程与各向异性纳维-斯托克斯湍流环境中被动平流标量场的相应扩散过程完全等效。
