An analytical model for fully developed three-dimensional incompressible turbulence was recently proposed in the hydrodynamics community, based on the concept of multiplicative chaos. It consists of a random field represented by means of a stochastic integral, which, with only a few parameters, shares many properties with experimental and numerical turbulence, including in particular energy transfer through scales (the cascade) and intermittency (non-Gaussianity) which is most conveniently controlled with a single parameter. Here, we propose three models extending this approach to MHD turbulence. Our formulae provide physically motivated 3D models of a turbulent velocity field and magnetic field coupled together. Besides its theoretical value, this work is meant to provide a tool for observers: a dozen of physically meaningful free parameters enter the description, which is useful to characterize astrophysical data.

中文翻译：

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来自乘法混沌的磁场

基于乘法混沌的概念，流体动力学界最近提出了一个完全发展的三维不可压缩湍流的分析模型。它由一个由随机积分表示的随机场组成，它只有几个参数，与实验和数值湍流共享许多属性，特别包括通过尺度（级联）和间歇性（非高斯性）的能量转移用单个参数最方便地控制。在这里，我们提出了三种模型，将这种方法扩展到 MHD 湍流。我们的公式提供了耦合在一起的湍流速度场和磁场的物理激励 3D 模型。除了其理论价值外，这项工作还旨在为观察者提供一个工具：