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磁流体动力学湍流的统计各向异性

Statistical anisotropy of magnetohydrodynamic turbulence.

作者信息

Müller Wolf-Christian, Biskamp Dieter, Grappin Roland

机构信息

Centre for Interdisciplinary Plasma Science, Max-Planck-Institut für Plasmaphysik, Euratom Assoziation, 85748 Garching, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jun;67(6 Pt 2):066302. doi: 10.1103/PhysRevE.67.066302. Epub 2003 Jun 10.

Abstract

Direct numerical simulations of decaying and forced magnetohydrodynamic (MHD) turbulence without and with mean magnetic field are analyzed by higher-order two-point statistics. The turbulence exhibits statistical anisotropy with respect to the direction of the local magnetic field even in the case of global isotropy. A mean magnetic field reduces the parallel-field dynamics while in the perpendicular direction a gradual transition towards two-dimensional MHD turbulence is observed with k(-3/2) inertial-range scaling of the perpendicular energy spectrum. An intermittency model based on the log-Poisson approach, zeta(p)=p/g(2)+1-(1/g)(p/g), is able to describe the observed structure function scalings.

摘要

通过高阶两点统计分析了无平均磁场和有平均磁场时衰减和强迫磁流体动力学(MHD)湍流的直接数值模拟。即使在全局各向同性的情况下,湍流相对于局部磁场方向也表现出统计各向异性。平均磁场会降低平行场动力学,而在垂直方向上,观察到向二维MHD湍流的逐渐转变,垂直能谱具有k^(-3/2)惯性范围标度。基于对数泊松方法zeta(p)=p/g(2)+1-(1/g)(p/g)的间歇性模型能够描述观测到的结构函数标度。

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