Phenomenologies of intermittent Hall MHD turbulence
Phenomenologies of intermittent Hall MHD turbulence
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DOI：
10.3934/dcdsb.2021285
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发表时间：
2020-12
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影响因子：
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通讯作者：
Mimi Dai
中科院分区：
文献类型：
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作者：
Mimi Dai
本文引入磁流体动力学（MHD）的磁致伸缩维数的概念来量化磁致伸缩效应。在依赖于非线性维数的情况下，我们导出了有和没有霍尔效应的间歇性MHD湍流的唯象定律。特别是，耗散波数，能谱和结构函数的标度律进行了预测。此外，我们能够提供估计的能量谱和结构功能是一致的预测缩放。
We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we derive phenomenological laws for intermittent MHD turbulence with and without the Hall effect. In particular, scaling laws of dissipation wavenumber, energy spectra and structure functions are predicted. Moreover, we are able to provide estimates for energy spectra and structure functions which are consistent with the predicted scalings.