Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer
Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer
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DOI：
10.1063/5.0047649
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发表时间：
2021-02
影响因子：
2.2
通讯作者：
E. Kostadinova;R. Banka;J. Padgett;C. Liaw;L. Matthews;T. Hyde
中科院分区：
文献类型：
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作者：
E. Kostadinova;R. Banka;J. Padgett;C. Liaw;L. Matthews;T. Hyde
这项工作提出了一个分析调查的异常扩散和湍流在尘埃等离子体单层，跨尺度的能量传输导致自发形成的空间无序图案。10,000粒子尘埃等离子体单层的多体模拟被用来演示如何全球动力学依赖于现实的实验室条件下的尘埃组件的统计特性。我们发现，由于尘埃尺寸分布的变化和电荷驱动的非局域相互作用导致异常尘埃扩散的无序是不稳定性发生的关键因素。由此产生的动力学表现出惯性湍流的特点，在稍多于五个十年的规模成比例或小于德拜屏蔽长度。这些过程进行分析研究，使用最近开发的分数拉普拉斯光谱（FLS）技术，它确定了活跃的能量通道作为一个功能的规模，无序浓度，和功能的非局部相互作用。从理论（谱）分析的预测表明协议的结果从多体（动力学）模拟，从而提供了一个强有力的工具，主动湍流的研究。
This work presents an analytical investigation of anomalous diffusion and turbulence in a dusty plasma monolayer, where energy transport across scales leads to the spontaneous formation of spatially disordered patterns. Many-body simulations of 10,000-particle dusty plasma monolayers are used to demonstrate how the global dynamics depend on the statistical properties of the dust assembly for realistic laboratory conditions. We find that disorder due to variations in the dust size distribution and charge-driven nonlocal interactions resulting in anomalous dust diffusion are key factors for the onset of instabilities. The resulting dynamics exhibit features of inertial turbulence over slightly more than half a decade of scales proportional or smaller than the Debye shielding length. These processes are examined analytically using a recently developed Fractional Laplacian Spectral (FLS) technique, which identifies the active energy channels as a function of scale, disorder concentration, and features of the nonlocal interactions. The predictions from the theoretical (spectral) analysis demonstrate agreement with the results from the manybody (kinetic) simulations, thus providing a powerful tool for the study of active turbulence.